Edit Profile (opens in new tab) Peletier, Mark Adriaan Co-Author Distance Author ID: peletier.mark-adriaan Published as: Peletier, Mark A.; Peletier, M. A.; Peletier, Mark; Peletier, Mark Adriaan; Peletier, M. more...less Documents Indexed: 104 Publications since 1994, including 1 Book and 8 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 107 Co-Authors with 103 Joint Publications 2,754 Co-Co-Authors all top 5 Co-Authors 9 single-authored 10 Mielke, Alexander 8 Veneroni, Marco 6 Budd, Christopher John 6 Hunt, Giles W. 6 Planqué, Robert 6 Renger, D. R. Michiel 6 Savaré, Giuseppe 5 Duong, Manh Hong 5 Lachand-Robert, Thomas 5 Röger, Matthias 5 Scardia, Lucia 5 van Meurs, Patrick 5 Zimmer, Johannes 4 Lord, Gabriel James 4 Sharma, Upanshu 4 van Duijn, Cornelis Johannes 3 Choksi, Rustum 3 Guerra, Ignacio A. 3 Hilhorst, Danielle 3 Hlod, Andriy 3 Van de Ven, Alphons Adrianus Francisca 3 van der Heijden, Gert H. M. 3 Van Gennip, Yves 3 Wadee, M. Ahmer 2 Aarts, A. C. T. 2 Adams, Stefan 2 Bonaschi, Giovanni A. 2 Bourne, David P. 2 Dirr, Nicolas Peter 2 Dodwell, Timothy J. 2 Galiano Casas, Gonzalo 2 Garroni, Adriana 2 Geers, Marc G. D. 2 Horák, Jiri V. 2 Kraaij, Richard Clemens 2 Lamacz, Agnes 2 Lazarescu, Alexandre 2 Maes, Christian 2 Muntean, Adrian 2 Peerlings, Ron H. J. 2 Portegies, Jacobus W. 2 Prokert, Georg 2 Schlichting, André 2 Schlottke, Mikola C. 2 Slepčev, Dejan 2 Tse, Oliver 1 Ambrosio, Luigi 1 Arnrich, Steffen 1 Baumeier, Björn 1 Beardmore, Robert Eric 1 Bisseling, Rob H. 1 Blom, Joke G. 1 Boon, Marko A. A. 1 Britton, Nicholas Ferris 1 Carrillo de la Plata, José Antonio 1 Çaylak, Onur 1 Champneys, Alan R. 1 de Greef, Tom 1 de Mol, B. A. J. M. 1 Di Bucchianico, Alessandro 1 Di Buchianico, Alessandro 1 Di Francesco, Marco 1 Draisma, Jan 1 Franks, Nigel R. 1 Garcke, Harald 1 Gavish, Nir 1 Hilder, Bastian 1 Hudson, Thomas 1 Kholodenko, Boris N. 1 König, Wolfgang Dieter 1 Liero, Matthias 1 Lippoth, Friedrich-Matthias 1 Lussardi, Luca 1 Manita, Oxana A. 1 Masroor, Saeed 1 Mattheij, Robert M. M. 1 Mercuri, Carlo 1 Montefusco, Alberto 1 Mora, Maria Giovanna 1 Mörters, Peter 1 Natile, Luca 1 Niethammer, Barbara 1 Nyquist, Pierre 1 Oosterwijk, Jan-Jaap 1 Patterson, Robert I. A. 1 Pendavingh, Rudi A. 1 Požár, Norbert 1 Redig, Frank 1 Roper, Steven M. 1 Rossi, Riccarda 1 Sanders, Jaron 1 Scharpach, Wouter 1 Senen-Cerda, Albert 1 Severens, N. M. W. 1 Severens, Natacha 1 Stephan, Artur 1 Steur, Erik 1 Theil, Florian 1 Tindall, Marcus J. 1 Vafayi, Kiamars ...and 7 more Co-Authors all top 5 Serials 7 SIAM Journal on Applied Mathematics 6 Nonlinearity 6 SIAM Journal on Mathematical Analysis 6 Calculus of Variations and Partial Differential Equations 5 Archive for Rational Mechanics and Analysis 5 Oberwolfach Reports 4 European Journal of Applied Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Interfaces and Free Boundaries 2 Communications in Mathematical Physics 2 Stochastic Processes and their Applications 2 Continuum Mechanics and Thermodynamics 2 Potential Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nieuw Archief voor Wiskunde. Vijfde Serie 2 Discrete and Continuous Dynamical Systems. Series S 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Advances in Mathematical Sciences and Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Advances in Differential Equations 1 Nonlinear Dynamics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Computational Geosciences 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Geology 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Medicine and Biology 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mathematics in Industry 1 Journal of Fixed Point Theory and Applications 1 Journal of Theoretical Biology all top 5 Fields 52 Partial differential equations (35-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 29 Probability theory and stochastic processes (60-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Mechanics of deformable solids (74-XX) 16 Fluid mechanics (76-XX) 16 Biology and other natural sciences (92-XX) 12 General and overarching topics; collections (00-XX) 10 Mechanics of particles and systems (70-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 1,115 times in 659 Documents Cited by ▼ Year ▼ On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692 Mielke, A.; Peletier, M. A.; Renger, D. R. M. 78 2014 Small volume fraction limit of the diblock copolymer problem. I: Sharp-interface functional. Zbl 1210.49050 Choksi, Rustum; Peletier, Mark A. 65 2010 On the phase diagram for microphase separation of diblock copolymers: an approach via a nonlocal Cahn-Hilliard functional. Zbl 1400.74089 Choksi, Rustum; Peletier, Mark A.; Williams, J. F. 64 2009 Cellular buckling in long structures. Zbl 0974.74024 Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J. 55 2000 From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage. Zbl 1267.60106 Adams, Stefan; Dirr, Nicolas; Peletier, Mark A.; Zimmer, Johannes 52 2011 Small volume-fraction limit of the diblock copolymer problem. II: Diffuse-interface functional. Zbl 1223.49056 Choksi, Rustum; Peletier, Mark A. 44 2011 GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles. Zbl 1288.60029 Duong, Manh Hong; Peletier, Mark A.; Zimmer, Johannes 39 2013 Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055 Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 32 2012 Large deviations and gradient flows. Zbl 1292.82023 Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes 32 2013 Asymptotic behaviour of a pile-up of infinite walls of edge dislocations. Zbl 1282.74067 Geers, M. G. D.; Peerlings, R. H. J.; Peletier, M. A.; Scardia, L. 32 2013 Newton’s problem of the body of minimal resistance in the class of convex developable functions. Zbl 1048.49011 Lachand-Robert, T.; Peletier, M. A. 28 2001 On microscopic origins of generalized gradient structures. Zbl 1515.35127 Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel 28 2017 Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D. Zbl 1316.35077 Bonaschi, Giovanni A.; Carrillo, José A.; Di Francesco, Marco; Peletier, Mark A. 24 2015 Partial localization, lipid bilayers, and the elastica functional. Zbl 1170.74034 Peletier, Mark A.; Röger, Matthias 21 2009 Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. Zbl 1370.80001 Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel 21 2017 Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071 Guedda, M.; Hilhorst, D.; Peletier, M. A. 20 1997 Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement. Zbl 1378.49012 Mora, Maria Giovanna; Peletier, Mark A.; Scardia, Lucia 20 2017 Cylindrical shell buckling: a characterization of localization and periodicity. Zbl 1046.74017 Hunt, G. W.; Lord, G. J.; Peletier, M. A. 17 2003 Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics. Zbl 1394.35210 Duong, M. H.; Lamacz, A.; Peletier, M. A.; Schlichting, A.; Sharma, U. 17 2018 Optimality of the triangular lattice for a particle system with Wasserstein interaction. Zbl 1294.82006 Bourne, D. P.; Peletier, M. A.; Theil, F. 16 2014 Kink band instability in layered structures. Zbl 1070.74013 Wadee, M. Ahmer; Hunt, G. W.; Peletier, M. A. 15 2004 Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction. Zbl 1305.82048 Peletier, Mark A.; Redig, Frank; Vafayi, Kiamars 15 2014 Variational approach to coarse-graining of generalized gradient flows. Zbl 1444.35107 Duong, Manh Hong; Lamacz, Agnes; Peletier, Mark A.; Sharma, Upanshu 15 2017 From diffusion to reaction via \(\Gamma\)-convergence. Zbl 1221.35045 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 14 2010 Sequential buckling: a variational analysis. Zbl 1049.74023 Peletier, Mark A. 14 2001 An example of non-convex minimization and an application to Newton’s problem of the body of least resistance. Zbl 0993.49002 Lachand-Robert, T.; Peletier, M. A. 14 2001 Copolymer-homopolymer blends: global energy minimisation and global energy bounds. Zbl 1191.49006 van Gennip, Yves; Peletier, Mark A. 14 2008 Jump processes as generalized gradient flows. Zbl 1490.60022 Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver 14 2022 Cylinder buckling: the mountain pass as an organizing center. Zbl 1134.35042 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 13 2006 Self-similar solutions of a fast diffusion equation that do not conserve mass. Zbl 0845.35057 Peletier, M. A.; Zhang, Hongfei 13 1995 Quadratic and rate-independent limits for a large-deviations functional. Zbl 1355.60034 Bonaschi, Giovanni A.; Peletier, Mark A. 13 2016 Stability of monolayers and bilayers in a copolymer-homopolymer blend model. Zbl 1179.93106 van Gennip, Yves; Peletier, Mark A. 11 2009 Conservative-dissipative approximation schemes for a generalized Kramers equation. Zbl 1370.35165 Duong, Manh Hong; Peletier, Mark A.; Zimmer, Johannes 11 2014 Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 10 2012 Variational analysis of a mesoscale model for bilayer membranes. Zbl 1306.49020 Lussardi, Luca; Peletier, Mark A.; Röger, Matthias 10 2014 Upscaling of dislocation walls in finite domains. Zbl 1327.74131 van Meurs, P.; Muntean, A.; Peletier, M. A. 10 2014 Convergence and non-convergence of many-particle evolutions with multiple signs. Zbl 1434.82082 Garroni, A.; Van Meurs, P.; Peletier, M. A.; Scardia, L. 10 2020 Deriving GENERIC from a generalized fluctuation symmetry. Zbl 1390.82045 Kraaij, Richard; Lazarescu, Alexandre; Maes, Christian; Peletier, Mark 9 2018 Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation. Zbl 1471.60037 Kraaij, Richard C.; Lazarescu, Alexandre; Maes, Christian; Peletier, Mark 9 2020 Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence. Zbl 1521.37090 Mielke, Alexander; Montefusco, Alberto; Peletier, Mark A. 9 2021 Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. Zbl 1206.35236 Natile, Luca; Peletier, Mark A.; Savaré, Giuseppe 8 2011 Self-similar blow up for a diffusion-attraction problem. Zbl 1067.35134 Guerra, Ignacio; Peletier, Mark A. 8 2004 Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock. Zbl 1355.49009 Garroni, Adriana; van Meurs, Patrick; Peletier, Mark A.; Scardia, Lucia 8 2016 An inequality connecting entropy distance, Fisher information and large deviations. Zbl 1441.60023 Hilder, Bastian; Peletier, Mark A.; Sharma, Upanshu; Tse, Oliver 8 2020 Non-existence and uniqueness results for fourth-order Hamiltonian systems. Zbl 0934.37050 Peletier, Mark A. 7 1999 Self-similar voiding solutions of a single layered model of folding rocks. Zbl 1243.34063 Dodwell, T. J.; Peletier, M. A.; Budd, C. J.; Hunt, G. W. 7 2012 Hexagonal patterns in a simplified model for block copolymers. Zbl 1309.49019 Bourne, D. P.; Peletier, M. A.; Roper, S. M. 7 2014 Stripe patterns in a model for block copolymers. Zbl 1203.49018 Peletier, Mark A.; Veneroni, Marco 7 2010 Extremal points of a functional on the set of convex functions. Zbl 0921.49018 Lachand-Robert, T.; Peletier, M. A. 6 1999 Variational formulation of the Fokker-Planck equation with decay: a particle approach. Zbl 1280.35156 Peletier, Mark A.; Renger, D. R. Michiel; Veneroni, Marco 6 2013 Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows. Zbl 1200.35340 Portegies, Jacobus W.; Peletier, Mark A. 6 2010 EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183 Mielke, Alexander; Peletier, Mark A.; Stephan, Artur 6 2021 Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations. Zbl 1093.37020 Beardmore, R. E.; Peletier, M. A.; Budd, C. J.; Wadee, M. Ahmer 5 2005 Generalized monotonicity from global minimization in fourth-order ordinary differential equations. Zbl 1001.37053 Peletier, Mark A. 5 2001 Global existence conditions for nonlocal problem arising in statistical mechancis. Zbl 1108.35137 van Duijn, C. J.; Guerra, I. A.; Peletier, M. A. 5 2004 Mathematical model of falling of a viscous jet onto a moving surface. Zbl 1129.76018 Hlod, A.; Aarts, A. C. T.; van de Ven, A. A. F.; Peletier, M. A. 4 2007 A diffusion-convection problem with drainage arising in the ecology of mangroves. Zbl 0974.35100 Van Duijn, C. J.; Galiano, G.; Peletier, M. A. 4 2001 Self-similar fold evolution under prescribed end-shortening. Zbl 0970.86018 Budd, Chris J.; Hunt, Giles W.; Peletier, Mark A. 4 1999 A continuum model of lipid bilayers. Zbl 1072.74050 Blom, J. G.; Peletier, M. A. 4 2004 Three flow regimes of viscous jet falling onto a moving surface. Zbl 1328.76027 Hlod, A.; Aarts, A. C. T.; van de Ven, A. A. F.; Peletier, M. A. 4 2012 Multi-layered folding with voids. Zbl 1250.74007 Dodwell, T. J.; Hunt, G. W.; Peletier, M. A.; Budd, C. J. 4 2012 Atomistic origins of continuum dislocation dynamics. Zbl 1460.60107 Hudson, Thomas; van Meurs, Patrick; Peletier, Mark 4 2020 Minimizing functionals on a set of convex functions. (Minimisation de fonctionnelles dans un ensemble de fonctions convexes.) Zbl 0889.47035 Lachand-Robert, Thomas; Peletier, Mark A. 3 1997 The adaptiveness of defence strategies against cuckoo parasitism. Zbl 1334.92298 Planqué, Robert; Britton, Nicholas F.; Franks, Nigel R.; Peletier, Mark A. 3 2002 Complexity science. An introduction. Zbl 1410.00027 3 2019 Fast reaction limits via \(\Gamma\)-convergence of the flux rate functional. Zbl 1523.35271 Peletier, Mark A.; Renger, D. R. Michiel 3 2023 Large deviations and gradient flows for the Brownian one-dimensional hard-rod system. Zbl 1506.60041 Peletier, Mark; Gavish, Nir; Nyquist, Pierre 3 2023 Cosh gradient systems and tilting. Zbl 1512.35003 Peletier, Mark A.; Schlichting, André 3 2023 On end rotation for open rods undergoing large deformations. Zbl 1208.74077 van der Heijden, G. H. M.; Peletier, M. A.; Planqué, R. 2 2007 Sobolev regularity via the convergence rate of convolutions and Jensen’s inequality. Zbl 1185.46026 Peletier, Mark A.; Planqué, Robert; Röger, Matthias 2 2007 Mini-workshop: Mathematics of biological membranes. Abstracts from the mini-workshop held August 31 – September 6, 2008. Zbl 1177.74021 2 2008 Numerical variational methods applied to cylinder buckling. Zbl 1162.74050 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 2 2008 The minimum of quadratic functionals of the gradient on the set of convex functions. Zbl 1030.49015 Lachand-Robert, T.; Peletier, M. A. 2 2002 A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness. Zbl 1387.76024 Lippoth, Friedrich; Peletier, Mark A.; Prokert, Georg 2 2016 Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport. Zbl 0963.35020 Hilhorst, D.; Peletier, M. A. 1 2000 Problems in degenerate diffusion. Zbl 0923.76312 Peletier, Mark Adriaan 1 1997 Spatial localization for a general reaction-diffusion system. Zbl 0920.35013 Galiano, Gonzalo; Peletier, Mark Adriaan 1 1998 Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Zbl 1083.00007 1 2006 Self-contact for rods on cylinders. Zbl 1104.74050 van der Heijden, G. H. M.; Peletier, M. A.; Planqué, R. 1 2006 Asymptotic behaviour of solutions of a nonlinear transport equation. Zbl 0859.35061 van Duijn, C. J.; Peletier, M. A. 1 1996 Interplay of analysis and probability in physics. Abstracts from the workshop held January 22–28, 2012. Zbl 1349.00213 1 2012 Stripe patterns and a projection-valued formulation of the eikonal equation. Zbl 1250.74005 Peletier, Mark A.; Veneroni, Marco 1 2012 Discrete-to-continuum convergence of charged particles in 1D with annihilation. Zbl 1502.35160 van Meurs, Patrick; Peletier, Mark A.; Požár, Norbert 1 2022 Control of spatially heterogeneous and time-varying cellular reaction networks: a new summation law. Zbl 1464.92111 Peletier, Mark A.; Westerhoff, Hans V.; Kholodenko, Boris N. 1 2003 Fast reaction limits via \(\Gamma\)-convergence of the flux rate functional. Zbl 1523.35271 Peletier, Mark A.; Renger, D. R. Michiel 3 2023 Large deviations and gradient flows for the Brownian one-dimensional hard-rod system. Zbl 1506.60041 Peletier, Mark; Gavish, Nir; Nyquist, Pierre 3 2023 Cosh gradient systems and tilting. Zbl 1512.35003 Peletier, Mark A.; Schlichting, André 3 2023 Jump processes as generalized gradient flows. Zbl 1490.60022 Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver 14 2022 Discrete-to-continuum convergence of charged particles in 1D with annihilation. Zbl 1502.35160 van Meurs, Patrick; Peletier, Mark A.; Požár, Norbert 1 2022 Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence. Zbl 1521.37090 Mielke, Alexander; Montefusco, Alberto; Peletier, Mark A. 9 2021 EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183 Mielke, Alexander; Peletier, Mark A.; Stephan, Artur 6 2021 Convergence and non-convergence of many-particle evolutions with multiple signs. Zbl 1434.82082 Garroni, A.; Van Meurs, P.; Peletier, M. A.; Scardia, L. 10 2020 Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation. Zbl 1471.60037 Kraaij, Richard C.; Lazarescu, Alexandre; Maes, Christian; Peletier, Mark 9 2020 An inequality connecting entropy distance, Fisher information and large deviations. Zbl 1441.60023 Hilder, Bastian; Peletier, Mark A.; Sharma, Upanshu; Tse, Oliver 8 2020 Atomistic origins of continuum dislocation dynamics. Zbl 1460.60107 Hudson, Thomas; van Meurs, Patrick; Peletier, Mark 4 2020 Complexity science. An introduction. Zbl 1410.00027 3 2019 Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics. Zbl 1394.35210 Duong, M. H.; Lamacz, A.; Peletier, M. A.; Schlichting, A.; Sharma, U. 17 2018 Deriving GENERIC from a generalized fluctuation symmetry. Zbl 1390.82045 Kraaij, Richard; Lazarescu, Alexandre; Maes, Christian; Peletier, Mark 9 2018 On microscopic origins of generalized gradient structures. Zbl 1515.35127 Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel 28 2017 Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. Zbl 1370.80001 Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel 21 2017 Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement. Zbl 1378.49012 Mora, Maria Giovanna; Peletier, Mark A.; Scardia, Lucia 20 2017 Variational approach to coarse-graining of generalized gradient flows. Zbl 1444.35107 Duong, Manh Hong; Lamacz, Agnes; Peletier, Mark A.; Sharma, Upanshu 15 2017 Quadratic and rate-independent limits for a large-deviations functional. Zbl 1355.60034 Bonaschi, Giovanni A.; Peletier, Mark A. 13 2016 Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock. Zbl 1355.49009 Garroni, Adriana; van Meurs, Patrick; Peletier, Mark A.; Scardia, Lucia 8 2016 A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness. Zbl 1387.76024 Lippoth, Friedrich; Peletier, Mark A.; Prokert, Georg 2 2016 Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D. Zbl 1316.35077 Bonaschi, Giovanni A.; Carrillo, José A.; Di Francesco, Marco; Peletier, Mark A. 24 2015 On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692 Mielke, A.; Peletier, M. A.; Renger, D. R. M. 78 2014 Optimality of the triangular lattice for a particle system with Wasserstein interaction. Zbl 1294.82006 Bourne, D. P.; Peletier, M. A.; Theil, F. 16 2014 Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction. Zbl 1305.82048 Peletier, Mark A.; Redig, Frank; Vafayi, Kiamars 15 2014 Conservative-dissipative approximation schemes for a generalized Kramers equation. Zbl 1370.35165 Duong, Manh Hong; Peletier, Mark A.; Zimmer, Johannes 11 2014 Variational analysis of a mesoscale model for bilayer membranes. Zbl 1306.49020 Lussardi, Luca; Peletier, Mark A.; Röger, Matthias 10 2014 Upscaling of dislocation walls in finite domains. Zbl 1327.74131 van Meurs, P.; Muntean, A.; Peletier, M. A. 10 2014 Hexagonal patterns in a simplified model for block copolymers. Zbl 1309.49019 Bourne, D. P.; Peletier, M. A.; Roper, S. M. 7 2014 GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles. Zbl 1288.60029 Duong, Manh Hong; Peletier, Mark A.; Zimmer, Johannes 39 2013 Large deviations and gradient flows. Zbl 1292.82023 Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes 32 2013 Asymptotic behaviour of a pile-up of infinite walls of edge dislocations. Zbl 1282.74067 Geers, M. G. D.; Peerlings, R. H. J.; Peletier, M. A.; Scardia, L. 32 2013 Variational formulation of the Fokker-Planck equation with decay: a particle approach. Zbl 1280.35156 Peletier, Mark A.; Renger, D. R. Michiel; Veneroni, Marco 6 2013 Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055 Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 32 2012 Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 10 2012 Self-similar voiding solutions of a single layered model of folding rocks. Zbl 1243.34063 Dodwell, T. J.; Peletier, M. A.; Budd, C. J.; Hunt, G. W. 7 2012 Three flow regimes of viscous jet falling onto a moving surface. Zbl 1328.76027 Hlod, A.; Aarts, A. C. T.; van de Ven, A. A. F.; Peletier, M. A. 4 2012 Multi-layered folding with voids. Zbl 1250.74007 Dodwell, T. J.; Hunt, G. W.; Peletier, M. A.; Budd, C. J. 4 2012 Interplay of analysis and probability in physics. Abstracts from the workshop held January 22–28, 2012. Zbl 1349.00213 1 2012 Stripe patterns and a projection-valued formulation of the eikonal equation. Zbl 1250.74005 Peletier, Mark A.; Veneroni, Marco 1 2012 From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage. Zbl 1267.60106 Adams, Stefan; Dirr, Nicolas; Peletier, Mark A.; Zimmer, Johannes 52 2011 Small volume-fraction limit of the diblock copolymer problem. II: Diffuse-interface functional. Zbl 1223.49056 Choksi, Rustum; Peletier, Mark A. 44 2011 Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. Zbl 1206.35236 Natile, Luca; Peletier, Mark A.; Savaré, Giuseppe 8 2011 Small volume fraction limit of the diblock copolymer problem. I: Sharp-interface functional. Zbl 1210.49050 Choksi, Rustum; Peletier, Mark A. 65 2010 From diffusion to reaction via \(\Gamma\)-convergence. Zbl 1221.35045 Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco 14 2010 Stripe patterns in a model for block copolymers. Zbl 1203.49018 Peletier, Mark A.; Veneroni, Marco 7 2010 Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows. Zbl 1200.35340 Portegies, Jacobus W.; Peletier, Mark A. 6 2010 On the phase diagram for microphase separation of diblock copolymers: an approach via a nonlocal Cahn-Hilliard functional. Zbl 1400.74089 Choksi, Rustum; Peletier, Mark A.; Williams, J. F. 64 2009 Partial localization, lipid bilayers, and the elastica functional. Zbl 1170.74034 Peletier, Mark A.; Röger, Matthias 21 2009 Stability of monolayers and bilayers in a copolymer-homopolymer blend model. Zbl 1179.93106 van Gennip, Yves; Peletier, Mark A. 11 2009 Copolymer-homopolymer blends: global energy minimisation and global energy bounds. Zbl 1191.49006 van Gennip, Yves; Peletier, Mark A. 14 2008 Mini-workshop: Mathematics of biological membranes. Abstracts from the mini-workshop held August 31 – September 6, 2008. Zbl 1177.74021 2 2008 Numerical variational methods applied to cylinder buckling. Zbl 1162.74050 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 2 2008 Mathematical model of falling of a viscous jet onto a moving surface. Zbl 1129.76018 Hlod, A.; Aarts, A. C. T.; van de Ven, A. A. F.; Peletier, M. A. 4 2007 On end rotation for open rods undergoing large deformations. Zbl 1208.74077 van der Heijden, G. H. M.; Peletier, M. A.; Planqué, R. 2 2007 Sobolev regularity via the convergence rate of convolutions and Jensen’s inequality. Zbl 1185.46026 Peletier, Mark A.; Planqué, Robert; Röger, Matthias 2 2007 Cylinder buckling: the mountain pass as an organizing center. Zbl 1134.35042 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 13 2006 Progress in industrial mathematics at ECMI 2004. Papers of the 13th European conference on mathematics for industry, Eindhoven, Netherlands, June 21–25, 2004. Zbl 1083.00007 1 2006 Self-contact for rods on cylinders. Zbl 1104.74050 van der Heijden, G. H. M.; Peletier, M. A.; Planqué, R. 1 2006 Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations. Zbl 1093.37020 Beardmore, R. E.; Peletier, M. A.; Budd, C. J.; Wadee, M. Ahmer 5 2005 Kink band instability in layered structures. Zbl 1070.74013 Wadee, M. Ahmer; Hunt, G. W.; Peletier, M. A. 15 2004 Self-similar blow up for a diffusion-attraction problem. Zbl 1067.35134 Guerra, Ignacio; Peletier, Mark A. 8 2004 Global existence conditions for nonlocal problem arising in statistical mechancis. Zbl 1108.35137 van Duijn, C. J.; Guerra, I. A.; Peletier, M. A. 5 2004 A continuum model of lipid bilayers. Zbl 1072.74050 Blom, J. G.; Peletier, M. A. 4 2004 Cylindrical shell buckling: a characterization of localization and periodicity. Zbl 1046.74017 Hunt, G. W.; Lord, G. J.; Peletier, M. A. 17 2003 Control of spatially heterogeneous and time-varying cellular reaction networks: a new summation law. Zbl 1464.92111 Peletier, Mark A.; Westerhoff, Hans V.; Kholodenko, Boris N. 1 2003 The adaptiveness of defence strategies against cuckoo parasitism. Zbl 1334.92298 Planqué, Robert; Britton, Nicholas F.; Franks, Nigel R.; Peletier, Mark A. 3 2002 The minimum of quadratic functionals of the gradient on the set of convex functions. Zbl 1030.49015 Lachand-Robert, T.; Peletier, M. A. 2 2002 Newton’s problem of the body of minimal resistance in the class of convex developable functions. Zbl 1048.49011 Lachand-Robert, T.; Peletier, M. A. 28 2001 Sequential buckling: a variational analysis. Zbl 1049.74023 Peletier, Mark A. 14 2001 An example of non-convex minimization and an application to Newton’s problem of the body of least resistance. Zbl 0993.49002 Lachand-Robert, T.; Peletier, M. A. 14 2001 Generalized monotonicity from global minimization in fourth-order ordinary differential equations. Zbl 1001.37053 Peletier, Mark A. 5 2001 A diffusion-convection problem with drainage arising in the ecology of mangroves. Zbl 0974.35100 Van Duijn, C. J.; Galiano, G.; Peletier, M. A. 4 2001 Cellular buckling in long structures. Zbl 0974.74024 Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J. 55 2000 Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport. Zbl 0963.35020 Hilhorst, D.; Peletier, M. A. 1 2000 Non-existence and uniqueness results for fourth-order Hamiltonian systems. Zbl 0934.37050 Peletier, Mark A. 7 1999 Extremal points of a functional on the set of convex functions. Zbl 0921.49018 Lachand-Robert, T.; Peletier, M. A. 6 1999 Self-similar fold evolution under prescribed end-shortening. Zbl 0970.86018 Budd, Chris J.; Hunt, Giles W.; Peletier, Mark A. 4 1999 Spatial localization for a general reaction-diffusion system. Zbl 0920.35013 Galiano, Gonzalo; Peletier, Mark Adriaan 1 1998 Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071 Guedda, M.; Hilhorst, D.; Peletier, M. A. 20 1997 Minimizing functionals on a set of convex functions. (Minimisation de fonctionnelles dans un ensemble de fonctions convexes.) Zbl 0889.47035 Lachand-Robert, Thomas; Peletier, Mark A. 3 1997 Problems in degenerate diffusion. Zbl 0923.76312 Peletier, Mark Adriaan 1 1997 Asymptotic behaviour of solutions of a nonlinear transport equation. Zbl 0859.35061 van Duijn, C. J.; Peletier, M. A. 1 1996 Self-similar solutions of a fast diffusion equation that do not conserve mass. Zbl 0845.35057 Peletier, M. A.; Zhang, Hongfei 13 1995 all cited Publications top 5 cited Publications all top 5 Cited by 906 Authors 45 Peletier, Mark Adriaan 22 Mielke, Alexander 15 Duong, Manh Hong 14 Renger, D. R. Michiel 14 van Meurs, Patrick 13 Carrillo de la Plata, José Antonio 13 Knüpfer, Hans 11 Zimmer, Johannes 10 Choksi, Rustum 10 Muratov, Cyrill B. 9 Sharma, Upanshu 9 Topaloglu, Ihsan 8 Hunt, Giles W. 7 Garroni, Adriana 7 Pavelka, Michal 7 Ren, Xiaofeng 7 Scardia, Lucia 6 Alama, Stan 6 Bronsard, Lia 6 Carlier, Guillaume 6 Frank, Rupert L. 6 Jack, Robert L. 6 Knobloch, Edgar 6 Savaré, Giuseppe 6 Tse, Oliver 6 van den Berg, Jan Bouwe 6 Wadee, M. Ahmer 6 Winkler, Michael 5 Conti, Sergio 5 Dirr, Nicolas Peter 5 Dodwell, Timothy J. 5 Gazzola, Filippo 5 Grmela, Miroslav 5 Liero, Matthias 5 Lussardi, Luca 5 Patterson, Robert I. A. 5 Plakhov, A. Yu 5 Punzo, Fabio 5 Röger, Matthias 5 Stefanelli, Ulisse 5 Vauchelet, Nicolas 5 Wanner, Thomas 5 Wei, Juncheng 4 Bassom, Andrew P. 4 Bonacini, Marco 4 Bouchet, Freddy 4 Bourne, David P. 4 Budd, Christopher John 4 Cristoferi, Riccardo 4 Galiano Casas, Gonzalo 4 Gao, Yuan 4 Glasner, Karl B. 4 Hudson, Thomas 4 Kim, Junseok 4 Li, Yibao 4 Liu, Jianguo 4 Marheineke, Nicole 4 Mora, Maria Giovanna 4 Morandotti, Marco 4 Muntean, Adrian 4 Niethammer, Barbara 4 Novaga, Matteo 4 Oden, John Tinsley 4 Otto, Felix 4 Rossi, Riccarda 4 Schlichting, André 4 Schmidtchen, Markus 4 Serfaty, Sylvia 4 Stephan, Artur 4 Tedeev, Anatoliĭ Fedorovich 4 Vazquez, Juan Luis 4 Veneroni, Marco 4 Wadee, M. Khurram 4 Wang, Haijun 4 Wegener, Raimund 3 Adams, Stefan 3 Arne, Walter 3 Bashiri, Kaveh 3 Burger, Martin 3 Cao, Lianghao 3 Choi, Young-Pil 3 Cornalba, Federico 3 Damil, Noureddine 3 Di Francesco, Marco 3 Dolbeault, Jean 3 Du, Qiang 3 Ehrlacher, Virginie 3 Esen, Oğul 3 Fagioli, Simone 3 Fathi, Max 3 Ghattas, Omar N. 3 Goldman, Michael 3 Groh, Rainer M. J. 3 Gvalani, Rishabh S. 3 Hartmann, Carsten 3 Harutyunyan, Davit 3 Herrmann, Michael 3 Iagar, Razvan Gabriel 3 James, François 3 Jeong, Darae ...and 806 more Authors all top 5 Cited in 189 Serials 36 SIAM Journal on Mathematical Analysis 32 Calculus of Variations and Partial Differential Equations 30 Archive for Rational Mechanics and Analysis 24 Journal of Statistical Physics 22 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematical, Physical and Engineering Sciences 3 Interfaces and Free Boundaries 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Multiscale Modeling & Simulation 3 Networks and Heterogeneous Media 2 International Journal of Solids and Structures 2 Letters in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Numerische Mathematik 2 Journal of Theoretical Probability 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Annals of Applied Probability 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Journal of Mathematical Sciences (New York) 2 Electronic Communications in Probability 2 Nonlinear Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Dynamical and Control Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Journal of Statistical Mechanics: Theory and Experiment 2 Oberwolfach Reports 2 Journal of Fixed Point Theory and Applications 2 Journal of Mathematics in Industry 2 Journal of Theoretical Biology 2 Pure and Applied Analysis 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Fluid Mechanics 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica ...and 89 more Serials all top 5 Cited in 41 Fields 306 Partial differential equations (35-XX) 179 Calculus of variations and optimal control; optimization (49-XX) 174 Statistical mechanics, structure of matter (82-XX) 124 Mechanics of deformable solids (74-XX) 116 Probability theory and stochastic processes (60-XX) 104 Numerical analysis (65-XX) 59 Biology and other natural sciences (92-XX) 54 Fluid mechanics (76-XX) 46 Ordinary differential equations (34-XX) 36 Dynamical systems and ergodic theory (37-XX) 24 Mechanics of particles and systems (70-XX) 19 Convex and discrete geometry (52-XX) 19 Operations research, mathematical programming (90-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 Quantum theory (81-XX) 15 Measure and integration (28-XX) 14 Operator theory (47-XX) 14 Differential geometry (53-XX) 11 Integral equations (45-XX) 11 Functional analysis (46-XX) 11 Optics, electromagnetic theory (78-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Real functions (26-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Systems theory; control (93-XX) 4 Potential theory (31-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 Special functions (33-XX) Citations by Year