Mark Peletier's publications

On dislocations and crystal plasticity

• Marc Geers, Ron Peerlings, Mark A. Peletier, and Lucia Scardia, Asymptotic behaviour of a pile-up of infinite walls of edge dislocations (arxiv:1205.1042), submitted (2012).

On generalized gradient flows and large deviations

• 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 (arxiv:1201.4601), submitted (2012).
• Mark A. Peletier and Michiel Renger, Variational formulation of the Fokker-Planck equation with decay: a particle approach (arxiv:1108.3181), submitted (2011).
• 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 and block copolymer models

• 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)
• 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

• 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, 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:

• 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.

Papers in Study Group proceedings and popular press:

• 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.