Mark Peletier's publications

On machine learning

• Anna Shalova, André Schlichting, and Mark A. Peletier, Singular-limit analysis of gradient descent with noise injection (arxiv:2404.12293, submitted (2024).
• Simon M. Koop, Mark A. Peletier, Jacobus W. Portegies, Vlado Menkovski, Neural Langevin Dynamics: towards interpretable Neural Stochastic Differential Equations (arxiv:2211.09537), submitted (2022).
• Oxana A. Manita, Mark A. Peletier, Jacobus W. Portegies, Jaron Sanders, and Albert Senen-Cerda, Universal Approximation in Dropout Neural Networks (arxiv:2012.10351), Journal of Machine Learning Research 23, pp. 1-46 (2022).

On dislocations and crystal plasticity

• Thomas Hudson, Patrick van Meurs, and Mark A. Peletier, Atomistic origins of continuum dislocation dynamics (arxiv:2001.06120), Mathematical Models and Methods in Applied Sciences 70, pp. 2557-2618 (2020).
• Adriana Garroni, Patrick van Meurs, Mark A. Peletier, and Lucia Scardia, Convergence and non-convergence of many-particle evolutions with multiple signs (arxiv:1810.04934), Archive for Rational Mechanics and Analysis 235, pp. 3-49 (2020).
• Adriana Garroni, Patrick van Meurs, Mark A. Peletier, and Lucia Scardia, Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock (arxiv:1502.05805), Mathematical Models and Methods in Applied Sciences 26, 2735-2768 (2016).
• Maria Giovanna Mora, Mark A. Peletier, and Lucia Scardia, Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement (arxiv:1409.4236), SIAM Journal on Mathematical Analysis 49, 4149-4205 (2017).
• Patrick van Meurs, Adrian Muntean, and Mark A. Peletier, Upscaling of dislocation walls in finite domains (arxiv:1308.5071); European Journal of Applied Mathematics, vol. 25, pp. 749-781 (2014).
• Marc Geers, Ron Peerlings, Mark A. Peletier, and Lucia Scardia, Asymptotic behaviour of a pile-up of infinite walls of edge dislocations, Archive for Rational Mechanics and Analysis 209, pp. 495-539 (2013).
• Lucia Scardia, Ron Peerlings, Marc Geers, and Mark A. Peletier, Mechanics of dislocation pile-ups: A unification of scaling regimes (arxiv:1208.5727), Journal of the Mechanics and Physics of Solids 70, pp. 42-61 (2014).

On generalized gradient flows and large deviations

• Alexander Mielke, Mark A. Peletier, and Johannes Zimmer, Deriving a GENERIC system from a Hamiltonian system (arxiv:2404.09284), submitted (2024).
• Mark A. Peletier and André Schlichting, Cosh gradient systems and tilting (arxiv:2203.05435), Nonlinear Analysis, Volume 231, p. 113094 (2023).
• Mark A. Peletier and Mikola C. Schlottke, Gamma-convergence of a gradient flow to a non-gradient-flow (arxiv:2105.03401), Calculus of Variations and Partial Differential Equations, Volume 61, p. 103 (2022).
• Mark A. Peletier and Mikola C. Schlottke, Convergence of a gradient flow to a non-gradient-flow, submitted to Oberwolfach Reports (2021).
• Alexander Mielke, Mark A. Peletier, and Artur Stephan, EDP-convergence for nonlinear fast-slow reaction systems with detailed balance, (arxiv:2010.08458), Nonlinearity 34, pp. 5762-5798 (2021).
• Mark A. Peletier and Michiel Renger, Fast reaction limits via Γ-convergence of the Flux Rate Functional, (arxiv:2009.14546), Journal of Dynamics and Differential Equations, Volume 35, pp. 865-906 (2023).
• Mark A. Peletier, Riccarda Rossi, Giuseppe Savare, and Oliver Tse, Jump processes as Generalized Gradient Flows (arxiv:2006.10624), Calculus of Variations and Partial Differential Equations, Volume 61, pp. 1-85 (2022).
• Alexander Mielke, Alberto Montefusco, and Mark A. Peletier, Exploring families of energy-dissipation landscapes via tilting: Three types of EDP convergence (arxiv:2001.01455), Continuum Mechanics and Thermodynamics, Volume 33, pp. 611-637 (2021).
• Mark A. Peletier, Nir Gavish, and Pierre Nyquist, Large deviations and gradient flows for the Brownian one-dimensional hard-rod system (arxiv:1909.02054), 2019.
• Mark A. Peletier and Mikola C. Schlottke, Large-deviation principles of switching Markov processes via Hamilton-Jacobi equations (arxiv:1901.08478), submitted (2019).
• Bastian Hilder, Mark A. Peletier, Upanshu Sharma, and Oliver Tse, An inequality connecting entropy distance, Fisher Information and large deviations (arxiv:1812.04358), Stochastic Processes and their Applications, Volume 130, Issue 5, pp. 2596-2638 (2020).
• Alberto Montefusco, Hans Christian Öttinger, and Mark A. Peletier, A framework of nonequilibrium statistical mechanics. I. Role and types of fluctuations (arxiv:2004.09120), Journal of Non-Equilibrium Thermodynamics (2021).
• Alberto Montefusco, Hans Christian Öttinger, and Mark A. Peletier, A framework of nonequilibrium statistical mechanics. II. Coarse-graining (arxiv:2004.09121), Journal of Non-Equilibrium Thermodynamics (2021).
• Manh Hong Duong, Agnes Lamacz, Mark A. Peletier, André Schlichting, and Upanshu Sharma, Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics (arXiv:1712.09920), Nonlinearity 31, pp. 4517-4566 (2018).
• Richard Kraaij, Alexandre Lazarescu, Christian Maes, and Mark A. Peletier, Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation (arxiv:1712.10217), Stochastic Processes and their Applications, Volume 130, Issue 1, pp. 139-170 (2020).
• Alexander Mielke, Robert Patterson, Mark A. Peletier, and Michiel Renger, Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics, SIAM Journal of Applied Mathematics, 77(4), pp. 1562-1585 (2017).
• Richard Kraaij, Alexandre Lazarescu, Christian Maes, and Mark A. Peletier, Deriving GENERIC from a generalized fluctuation symmetry (arxiv:1706.10115) Journal of Statistical Physics 170, pp. 492-508 (2018).
• Alexander Mielke, Mark A. Peletier, and Michiel Renger, A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility (arxiv:1510.06219), Journal of Non-Equilibrium Thermodynamics, 41(2), pp. 141-149 (2016).
• Matthias Liero, Alexander Mielke, Mark A. Peletier, and Michiel Renger, On microscopic origins of generalized gradient structures (arxiv:1507.06322), Discrete and Continuous Dynamical Systems Series S, 10(1), pp. 1-35 (2017).
• Manh Hong Duong, Agnes Lamacz, Mark A. Peletier, and Upanshu Sharma, Variational approach to coarse-graining of generalized gradient flows, (arxiv.org:1507.03207), Calulus of Variations and Partial Differential Equations, 56:100 (2017).
• Frieder Lippoth, Mark A. Peletier, and Georg Prokert, A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness, European Journal of Applied Mathematics, 27(4), pp. 647 - 666 (2016)
• Giovanni A. Bonaschi and Mark A. Peletier, Quadratic and rate-independent limits for a large-deviations functional (arxiv:1409.4350), ; the journal version is Continuum Mechanics and Thermodynamics, 28(4), 1191-1219 (2016). See also the video that Giovanni made about this paper.
• Manh Hong Duong, Mark A. Peletier, and Upanshu Sharma, Coarse-graining and fluctuations: Two birds with one stone (arxiv:1404.1466), to appear as MFO three-page report (2014).
• Mark A. Peletier, Frank Redig, and Kiamars Vafayi, Large Deviations in Stochastic Heat-Conduction Processes Provide a Gradient-Flow Structure for Heat Conduction (arxiv:1403.4994), Journal of Mathematical Physics, 55(9), pp. 093301/1-19 (2014).
• Alexander Mielke, Mark A. Peletier, and Michiel Renger, On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion (arxiv:1312.7591), Potential Analysis, 41(4), 1293-1327 (2014).
• Giovanni A. Bonaschi, José A. Carrillo, Marco Di Francesco, and Mark A. Peletier, Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D (arxiv:1310.4110), ESAIM: Control, Optimisation and Calculus of Variations, 21(2), 414-441 (2015).
• Manh Hong Duong, Mark A. Peletier, and Johannes Zimmer, GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles, Nonlinearity 26, pp. 2951-2971 (2013); selected for "Highlights of 2013" by the journal.
• Manh Hong Duong, Mark A. Peletier, and Johannes Zimmer, Conservative-dissipative approximation schemes for a generalized Kramers equation (arxiv:1206.2859), Mathematical Methods in the Applied Sciences, 37(16), 2517-2540 (2014).
• Mark A. Peletier, Giuseppe Savaré, and Marco Veneroni, Chemical Reactions as Γ-Limit of Diffusion, SIAM Review, 54(4), pp. 327-352 (2012).
• Stefan Adams, Nicolas Dirr, Mark A. Peletier, and Johannes Zimmer, Large Deviations and Gradient Flows, Philosophical Transactions of the Royal Society A, 371:20120341 (2013).
• Mark A. Peletier, Michiel Renger, and Marco Veneroni, Variational formulation of the Fokker-Planck equation with decay: a particle approach, Communications in Contemporary Mathematics, 13, p. 1350017 (2013).
• Steffen Arnrich, Alexander Mielke, Mark A. Peletier, Giuseppe Savaré, and Marco Veneroni, Passing to the Limit in a Wasserstein Gradient Flow: From Diffusion to Reaction, Calculus of Variations and Partial Differential Equations, 44, pp. 419-454 (2012).
• Stefan Adams, Nicolas Dirr, Mark A. Peletier, and Johannes Zimmer, From a Large-Deviations Principle to the Wasserstein Gradient Flow: A New Micro-Macro Passage, Communications in Mathematical Physics, 307, pp. 791-815 (2011).
• Luca Natile, Mark A. Peletier, and Giuseppe Savaré, Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts, Journal de Mathématiques Pures et Appliquées 95, pp.18-35 (2011).
• Mark A. Peletier, Giuseppe Savaré, and Marco Veneroni, From diffusion to reaction via Γ-convergence, SIAM Journal on Mathematical Analysis, 42(4), pp. 1805-1825 (2010).
• Jim W. Portegies and Mark A. Peletier, Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows, Interfaces and Free Boundaries, 12, pp. 121-150 (2010).

On partial localization, block copolymer models, and pattern formation

• David Bourne, Mark A. Peletier, and Steven Roper, Hexagonal patterns in a simplified model for block copolymers (arxiv:1305.6540), SIAM Journal of Applied Maths 74, pp. 1315-1337 (2014).
• David Bourne, Mark A. Peletier, and Florian Theil, Optimality of the triangular lattice for a particle system with Wasserstein interaction (arxiv:1212.6973; final version before publication), Communications in Mathematical Physics 329(1), pp. 117-140 (2014).
• Rustum Choksi, Mark A. Peletier, and JF Williams, On the Phase Diagram for Microphase Separation of Diblock Copolymers: an Approach via a Nonlocal Cahn-Hilliard Functional, SIAM Journal on Applied Mathematics 69(6), pp. 1712-1738 (2009).
• Rustum Choksi and Mark A. Peletier, Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp Interface Functional, SIAM Journal on Mathematical Analysis, 42(3):1334-1370 (2010).
• Rustum Choksi and Mark A. Peletier, Small Volume Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional, SIAM Journal on Mathematical Analysis, 43(2):739-763 (2011).
• Mark A. Peletier and Marco Veneroni, Non-oriented solutions of the eikonal equation, Comptes rendus-Mathématique, Série I, Vol. 348, pp. 1099-1101 (2010).
• Mark A. Peletier and Marco Veneroni, Stripe patterns in a model for block copolymers), Mathematical Models And Methods In Applied Sciences, Vol. 20, pp. 843-907 (2010).
• Mark A. Peletier and Marco Veneroni, Stripe patterns and the eikonal equation (short proceedings contribution), Discrete and Continuous Dynamical Systems, Vol. 5, pp. 183-189 (2012).
• Mark A. Peletier and Marco Veneroni, Stripe patterns and the eikonal equation (Oberwolfach report, 2009).
• Mark A. Peletier and Matthias Röger, Partial Localization, Lipid Bilayers, and the Elastica Functional (math-ph/0607024), Archive for Rational Mechanics and Analysis, 193, pp 475-537 (2009) online at http://dx.doi.org/10.1007/s00205-008-0150-4 (Note that equation (1.1) of the ARMA file is wrong; see the arXiv file for the correct equation)
• Matthias Röger and Mark A. Peletier, Cell membranes, Lipid Bilayers, and the Elastica Functional, Proc. Appl. Math. Mech. 6, 11-14 (2006)
• Luca Lussardi, Matthias Röger, and Mark A. Peletier, Variational analysis of a mesoscale model for bilayer membranes (arxiv:1402.6600), Journal of Fixed Point Theory and Applications, 15(1), 217-240 (2014)
• Yves van Gennip and Mark A. Peletier, Copolymer-homopolymer blends: global energy minimisation and global energy bounds (arXiv:0704.3222), Calculus of Variations and PDE 33(1), pp. 75-111 (2008)
• Yves van Gennip and Mark A. Peletier, Stability of monolayers and bilayers in a copolymer-homopolymer blend model (arXiv:0710.3298), Interfaces and Free Boundaries 11, pp. 331-373 (2009)
• Yves van Gennip and Mark A. Peletier, The H^-1-norm of tubular neighbourhoods of curves, ESAIM Control, Optimization, and Calculus of Variations, 17, pp. 131-154 (2011)

On applications of mathematics in the Life Sciences

• Saeed Masroor, Marloes G. J. van Dongen, Ricardo Alvarez-Jimenez, Koos Burggraaf, Lambertus A. Peletier, and Mark A. Peletier, Mathematical modeling of the glucagon challenge test, published online in Journal of Pharmacokinetics and Pharmacodynamics (2019).
• Tom F. A. de Greef, Saeed Masroor, Mark A. Peletier, and Rudi Pendavingh, Precision and Sensitivity in Detailed-Balance Reaction Networks (arXiv: 1601.00108), SIAM Journal on Applied Mathematics, 76(6), 2123-2153 (2016).
• Hendrik W. H. van Roekel, Lenny H. H. Meijer, Saeed Masroor, Zandra C. Félix Garza, André Estévez-Torres, Yannick Rondelez, Antonios Zagaris, Mark A. Peletier, Peter A.J. Hilbers, and Tom F. A. de Greef, Automated Design of Programmable Enzyme-Driven DNA Circuits, ACS Synthetic Biology, 4(6), 735-745 (2015).
• Marcus J. Tindall, Mark A. Peletier, Natascha Severens, Dirk J. Veldman, and Bas A. J. M. de Mol, Understanding post-operative temperature drop in cardiac surgery: a mathematical model, Mathematical Medicine & Biology 25(4), pp. 323-335 (2008).
• Robert Planqué, Nicholas F. Britton, Nigel R. Franks, and Mark A. Peletier, The Adaptiveness of Defence Strategies Against Cuckoo Parasitism ( ps | pdf ), Bulletin of Mathematical Biology, Vol. 64, pp. 1045-1068 (2002)
• Joke G. Blom and Mark A. Peletier, The Importance of Being Cigar-Shaped ( ps | pdf ), CWI Report MAS-R0228 (2002)
• Joke G. Blom and Mark A. Peletier, A Continuum Model of Lipid Bilayers, European Journal of Applied Mathematics, Vol. 15, pp. 487-508 (2004)
• Mark A. Peletier, Hans V. Westerhoff, and Boris N. Kholodenko, Control of Spatially Heterogeneous and Time-varying Cellular Reaction Networks: A New Summation Law (math.AP/0211111), Journal of Theoretical Biology, Vol. 225, pp. 477-487 (2003)
• Christof Francke, Hans V. Westerhoff, Joke G. Blom, and Mark A. Peletier, Flux control of the bacterial phosphoenolpyruvate:glucose phosphotransferase system and the effect of diffusion, presented at the 10th BTK meeting, 7-10 september 2002, Bordeaux; Molecular Biology Reports, Vol. 29, pp. 21-26 (2002)
• Christof Francke, Pieter W. Postma, Hans V. Westerhoff, Joke G. Blom, and Mark A. Peletier, Why the Phosphotransferase System of Escherichia Coli Escapes the Diffusion Limitation of Signal Transduction, Transport and Metabolism that Confronts Mammalian Cells, Biophysical Journal, Vol. 85, pp. 612-622 (2003)
• Joke G. Blom and Mark A. Peletier, Diffusive Gradients in the PTS System, CWI Report MAS-R0020 (2000)

On long elastic structures and restabilization phenomena

• Tim Dodwell, Giles W. Hunt, Mark A. Peletier, and Chris Budd, Multilayered folding with voids, Philosophical Transactions of the Royal Society A, Vol. 370, pp. 1740-1758 (2012).
• Tim Dodwell, Mark A. Peletier, Chris Budd, and Giles W. Hunt, Self-similar voiding solutions of a single layered model of folding rocks, SIAM Journal on Applied Mathematics, Vol. 72, pp. 444-463 (2012).
• Jiří Horák, Gabriel J. Lord, and Mark A. Peletier, Numerical variational methods applied to cylinder buckling (math/0611530), SIAM Journal on Scientific Computing, Vol. 30, pp. 1362-1386 (2008)
• Jiří Horák, Gabriel J. Lord, and Mark A. Peletier, Numerical Mountain Pass and its Applications, Proceedings in Applied Mathematics and Mechanics, 6, pp. 7-10 (2006)
• Jiří Horák, Gabriel J. Lord, and Mark A. Peletier, Cylinder Buckling: The Mountain Pass as an Organizing Center (math.AP/0507263), SIAM Journal on Applied Mathematics, Vol. 66, pp. 1793-1824 (2006)
• Gert van der Heijden, Mark A. Peletier, and Robert Planqué, Self-contact for rods on cylinders (math-ph/0411007), Archive for Rational and Mechanical Analyis, Vol. 182, pp. 471-511 (2006)
• Gert van der Heijden, Mark A. Peletier, and Robert Planqué, A consistent treatment of link and writhe for open rods, and their relation to end rotation (math-ph/0310057), published after revision as On end rotation for open rods undergoing large deformations, Quarterly of Applied Mathematics, Vol. 65, pp. 385-402 (2007)
• Giles W. Hunt, Gabriel J. Lord, and Mark A. Peletier, Cylindrical Shell Buckling: A Characterization of Localization and Periodicity (262 kB, pdf), Discrete and Continuous Dynamical Systems - Series B, Vol. 3, pp. 505-518 (2003)
• Mark A. Peletier, Sequential Buckling: A Variational Analysis (160 kB), SIAM Journal on Mathematical Analysis, Vol. 32, pp. 1142-1168 (2001); link to the paper on the SIAM web site
• Mark A. Peletier, Generalized Monotonicity from Global Minimization in Fourth-Order ODE's (120 kB), Nonlinearity, Vol. 14, pp. 1221-1238 (2001)
• Rob Beardmore, Mark A. Peletier, Chris Budd, and M. Ahmer Wadee, Bifurcation of Periodic Solutions Satisfying the Zero-Hamiltonian Constraint in Fourth-Order Differential Equations (pdf, 675 kB), SIAM J. Math. Anal., 36, 1461-1488 (2005)
• Giles W. Hunt, Mark A. Peletier, Alan R. Champneys, Patrick D. Woods, M. Ahmer Wadee, Chris J. Budd, and Gabriel Lord, Cellular Buckling in Long Structures, Nonlinear Dynamics, Vol. 21, pp. 3-29 (2000)
• Mark A. Peletier, Non-existence and Uniqueness Results for Fourth-Order Hamiltonian Systems (126 kB), Nonlinearity, Vol. 12, pp. 1555-1570 (1999); PDF version at the IOP web site (295 kB)

On Mathematical Geology

• Chris J. Budd and Mark A. Peletier, Approximate Self-similarity in Models of Geological Folding (928 kB), SIAM Journal on Applied Mathematics, Vol. 60, No. 3, pp. 990-1016 (2000); link to the paper at the SIAM web site; version with two pictures left out (175 kB)
• Chris J. Budd, Giles W. Hunt, and Mark A. Peletier, Self-similar Fold Evolution under Prescribed End-Shortening (119 kB), Journal of Mathematical Geology, Vol. 31, pp. 989--1005 (1999)
• Giles W. Hunt, Mark A. Peletier, and M. Ahmer Wadee, The Maxwell Stability Criterion in Pseudo-Energy Models of Kink Banding (1013 kB), Journal of Structural Geology, Vol. 22, pp. 667-679 (2000) (PDF version (500 kB))
• Giles W. Hunt, M. Ahmer Wadee, and Mark A. Peletier, Friction Models of Kink-Banding in Compressed Layered Structures (410 kB), Proceedings of the 5th International Workshop on Bifurcation and Localization in Soils and Rock, Perth, Australia (1999)
• M. Ahmer Wadee, Giles W. Hunt, and Mark A. Peletier, Kink Band Instability in Layered Structures (400 kB), Journal of Mechanics and Physics of Solids, Vol. 52, p. 1071-1091 (2004)

On Newton's problem of the body of minimal resistance

• T. Lachand-Robert and Mark A. Peletier, An Example of Non-convex Minimization and an Application to Newton's Problem of the Body of Least Resistance, Annales de l'Institut Henri Poincaré, Analyse non linéaire 18, pp. 179-198 (2001)
• T. Lachand-Robert and Mark A. Peletier, Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions (930 kB), Mathematische Nachrichten, Vol. 226, pp. 153-176 (2001)
• T. Lachand-Robert and Mark A. Peletier, Extremal Points of a Functional on the Set of Convex Functions, Proceedings of the AMS, Vol. 127, pp. 1723-1727 (1999)
• T. Lachand-Robert and Mark A. Peletier, The Minimum of Quadratic Functionals of the Gradient on the Set of Convex Functions (72 kB), Calc. Var. Partial Differential Equations, Vol. 15, pp. 289-297 (2002)
• T. Lachand-Robert and Mark A. Peletier, Minimisation de fonctionnelles dans un ensemble de fonctions convexes, C. R. Acad. Sci. Paris, t. 325, Série I, p. 851-855 (1997)

On nonlinear diffusion

• I. A. Guerra and M. A. Peletier, Self-Similar blow-up for a diffusion-attraction problem (math.AP/0404283), Nonlinearity, Vol. 17, pp. 2137-2162 (2004).
• C. J. van Duijn, I. A. Guerra, and Mark A. Peletier, Global Existence Conditions for a Non-local Problem Arising in Statistical Mechanics, Advances in Differential Equations, Vol. 9, pp. 133-158 (2004).
• C. J. van Duijn, I. A. Guerra, and Mark A. Peletier, Asymptotic Results for Injection of Reactive Solutes from a Three-Dimensional Well, Journal of Mathematical Analysis and Applications, Vol. 260, pp. 367-383 (2001).
• C. J. van Duijn, G. Galiano, and Mark A. Peletier, How mangroves salinize the soil (132 kB), published in revised form as A diffusion-convection problem with drainage arising in the ecology of mangroves, Interfaces and Free Boundaries, Vol. 3, pp. 15-44 (2001).
• Peter Grindrod, Mark A. Peletier, and Hiroyasu Takase, Mechanical Interaction Between Swelling Compacted Clay and Fractured Rock, and the Leaching of Clay Colloids, Engineering Geology, Vol. 54, pp. 159-165 (1999).
• My thesis (570 kB, University of Leiden, January 9, 1997).

• D. Hilhorst and M. A. Peletier, Convergence to Travelling Waves in a Reaction-Diffusion System Arising in Contaminant Transport, Journal of Differential Equations, Vol. 163, pp. 89-112 (2000).
• G. Galiano and M. A. Peletier, Spatial Localization for a General Reaction-Diffusion System, Annales de la Faculté des Sciences de l'Université de Toulouse, Vol. 7, No. 3, pp. 419-441 (1998).
• M. Guedda, D. Hilhorst and M. A. Peletier, Disappearing Interfaces in Nonlinear Diffusion; Advances in Mathematical Sciences and Applications, Vol. 7, No. 2, pp. 695-710 (1997). There's also a short summary (ten pages), published in the Proceedings of the St-Etienne Porous Media Conference.
• C. J. van Duijn and M. A. Peletier, Asymptotic Behaviour of Solutions of a Nonlinear Transport Equation, Journal für die reine und angewandte Mathematik, Vol. 479, pp. 77-98 (1996).
• M. A. Peletier and Hongfei Zhang, Self-similar Solutions of a Fast Diffusion Equation that do not Conserve Mass; Differential and Integral Equations, Vol. 8, No. 8, pp. 2045-2064 (1995).
• M. A. Peletier, A Supersolution of the Porous Medium Equation with Nonuniform Density; Applied Mathematics Letters, Vol. 7, No. 3, pp. 29-32 (1994).

Miscellaneous:

• Björn Baumeier, Onur Çaylak, Carlo Mercuri, Mark Peletier, Georg Prokert, and Wouter Scharpach. Existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics (arXiv:2011.10542), submitted (2020).
• M. A. Peletier, R. A. van Santen, and E. Steur (editors), Complexity Science, An Introduction, World Scientific, 428 pages (2019).
• K. Kumar, C. Knie, D. Bléger, M. A. Peletier, H. Friedrich, S. Hecht, D. J. Broer, M. G. Debije and A. P. H. J. Schenning, A chaotic self-oscillating sunlight-driven polymer actuator, Nature Communications 7:11975 (2016).
• M. A. Peletier, Applied mathematics, the Hans van Duijn way, Computational Geosciences 17, pp. 447-454 (2013)
• H. Garcke, B. Niethammer, M. A. Peletier, and M. Röger, Mathematics of Biological Membranes, Oberwolfach Mini-workshop report OWR-2008-41 (2008).
• A. Hlod, A. C. T. Aarts, A. A. F. van de Ven, and M. A. Peletier, Mathematical model of falling of a viscous jet onto a moving surface, Euro. Jnl. Appl. Math. 18, pp. 659-677 (2007).
• A. Hlod, A. C. T. Aarts, A. A. F. van de Ven, and M. A. Peletier, Three flow regimes of viscous jet falling onto a moving surface, IMA Journal of Applied Mathematics, doi: 10.1093/imamat/hxr017 (2011).
• M. A. Peletier, Bob Planqué, and Matthias Röger, Sobolev regularity via the convergence rate of convolutions and Jensen's inequality (math.FA/0701412), Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5) 6, pp. 499-510 (2007).
• E. R. Fledderus, R. W. van der Hofstad, E. Jochemsz, J. Molenaar, T. J. J. Mussche, M. A. Peletier, and G. Prokert, editors, Scientific Proceedings of the 55th European Study Group with Industry.
• A. DiBucchianico, R. M. M. Mattheij, and M. A. Peletier, editors, Progress in Industrial Mathematics at ECMI 2004 (caution: large file), Springer 2005.

Lecture Notes:

• Lecture notes for the School 'Mathematical Principles for and Advances in Continuum Mechanics' at the De Giorgi Center in Pisa, 7-11 November 2011; title: Energies, gradient flows, and large deviations: a modelling point of view
• Lecture notes for the course Variational Modelling: Gradient flows and optimal transport, given in Bath, spring 2011

Papers in Study Group proceedings and popular press:

• A. Babic, H. Bansal, G. Finocchio, J. Golak, M. A. Peletier, J. W. Portegies, C. Stegehuis, A. Tyagi, R. Vincze, Weimin Yoo, SciSports: Learning football kinematics through two-dimensional tracking data, Report for the Study Group Mathematics with Industry 2018, Eindhoven.
• G. A. Bonaschi, O. Filatova, C. Mercuri, Adrian Muntean, M. A. Peletier, V. Shchetnikava, E. Siero, and I. Zisis, Identication of a response amplitude operator for ships, Mathematics-in-Industry Case Studies Journal, Volume 5, pp. 1-26, 2013
• M. A. Peletier, Variatie doet weten, intreerede uitgesproken op 8 september 2006 aan de Technische Universiteit Eindhoven (en verschenen in Nieuw Archief voor Wiskunde, 5/7-4, pp. 234-241, 2006
• R. Bisseling, A. Vardy, M. A. Peletier, and N. Severens, Brainstormen voor bruikbare wiskunde, Nieuw Archief voor Wiskunde, Vol 5/6, No. 4, 2005
• M. J. Tindall, M. A. Peletier, J. M. Aitchison, S. van Mourik, and N. M. W. Severens, The Mathematical Modelling of Cooling and Rewarming Patients during Cardiac Surgery, Proceedings of the 52nd European Study Group Mathematics with Industry, Amsterdam, 2005
• J. B. van den Berg, G. Kozyreff, Hai-Xiang Lin, J. McDarby, M. A. Peletier, R. Planqué, and P. L. Wilson, Japanese Oysters in Dutch Waters, Proceedings of the 45th European Study Group Mathematics with Industry, Leiden, 2003
• G. Hek and M. A. Peletier, Alleen maar leuk of ook nuttig?, Nieuw Archief voor Wiskunde, Vijfde serie, vol. 4, juni 2003.
• G. Hek and M. A. Peletier, Studiegroep Wiskunde in de Industrie, Nieuw Archief voor Wiskunde, Vijfde serie, vol. 2, december 2001.