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Peletier, Mark Adriaan

Author ID: peletier.mark-adriaan Recent zbMATH articles by "Peletier, Mark Adriaan"
Published as: Peletier, Mark A.; Peletier, M. A.; Peletier, Mark; Peletier, Mark Adriaan; Peletier, M.
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 Savaré, Giuseppe
6 Zimmer, Johannes
5 Duong, Manh Hong
5 Lachand-Robert, Thomas
5 Renger, D. R. Michiel
5 Röger, Matthias
5 van Meurs, Patrick
4 Lord, Gabriel James
4 Scardia, Lucia
4 Sharma, Upanshu
4 van Duijn, Cornelis Johannes
3 Choksi, Rustum
3 Guerra, Ignacio A.
3 Hilhorst, Danielle
3 Hlod, Andriy
3 Schlichting, André
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 Horák, Jiri V.
2 Kraaij, Richard Clemens
2 Lamacz, Agnes
2 Lazarescu, Alexandre
2 Maes, Christian
2 Muntean, Adrian
2 Portegies, Jacobus W.
2 Prokert, Georg
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 Geers, Marc G. D.
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 Peerlings, Ron H. J.
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 Shalova, Anna
1 Stephan, Artur
1 Steur, Erik
1 Theil, Florian
1 Tindall, Marcus J.
...and 8 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

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,155 times in 685 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.
80
2014
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.
67
2009
Small volume fraction limit of the diblock copolymer problem. I: Sharp-interface functional. Zbl 1210.49050
Choksi, Rustum; Peletier, Mark A.
66
2010
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.
57
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
53
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
40
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.
33
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
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.
30
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.
25
2015
Partial localization, lipid bilayers, and the elastica functional. Zbl 1170.74034
Peletier, Mark A.; Röger, Matthias
22
2009
Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071
Guedda, M.; Hilhorst, D.; Peletier, M. A.
21
1997
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
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
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
16
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
Jump processes as generalized gradient flows. Zbl 1490.60022
Peletier, Mark A.; Rossi, Riccarda; Savaré, Giuseppe; Tse, Oliver
16
2022
Kink band instability in layered structures. Zbl 1070.74013
Wadee, M. Ahmer; Hunt, G. W.; Peletier, M. A.
15
2004
Copolymer-homopolymer blends: global energy minimisation and global energy bounds. Zbl 1191.49006
van Gennip, Yves; Peletier, Mark A.
15
2008
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
Quadratic and rate-independent limits for a large-deviations functional. Zbl 1355.60034
Bonaschi, Giovanni A.; Peletier, Mark A.
14
2016
Self-similar solutions of a fast diffusion equation that do not conserve mass. Zbl 0845.35057
Peletier, M. A.; Zhang, Hongfei
13
1995
Cylinder buckling: the mountain pass as an organizing center. Zbl 1134.35042
Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A.
13
2006
Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence. Zbl 1521.37090
Mielke, Alexander; Montefusco, Alberto; Peletier, Mark A.
12
2021
Stability of monolayers and bilayers in a copolymer-homopolymer blend model. Zbl 1179.93106
van Gennip, Yves; Peletier, Mark A.
11
2009
Variational analysis of a mesoscale model for bilayer membranes. Zbl 1306.49020
Lussardi, Luca; Peletier, Mark A.; Röger, Matthias
11
2014
Conservative-dissipative approximation schemes for a generalized Kramers equation. Zbl 1370.35165
Duong, Manh Hong; Peletier, Mark A.; Zimmer, Johannes
11
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
Chemical reactions as \(\Gamma\)-limit of diffusion. Zbl 1252.35037
Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
10
2012
Upscaling of dislocation walls in finite domains. Zbl 1327.74131
van Meurs, P.; Muntean, A.; Peletier, M. A.
10
2014
Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation. Zbl 1471.60037
Kraaij, Richard C.; Lazarescu, Alexandre; Maes, Christian; Peletier, Mark
9
2020
Deriving GENERIC from a generalized fluctuation symmetry. Zbl 1390.82045
Kraaij, Richard; Lazarescu, Alexandre; Maes, Christian; Peletier, Mark
9
2018
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
An inequality connecting entropy distance, Fisher information and large deviations. Zbl 1441.60023
Hilder, Bastian; Peletier, Mark A.; Sharma, Upanshu; Tse, Oliver
8
2020
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
Non-existence and uniqueness results for fourth-order Hamiltonian systems. Zbl 0934.37050
Peletier, Mark A.
7
1999
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
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
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
7
2021
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
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
6
2005
Extremal points of a functional on the set of convex functions. Zbl 0921.49018
Lachand-Robert, T.; Peletier, M. A.
6
1999
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.
5
2003
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.
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
Large deviations and gradient flows for the Brownian one-dimensional hard-rod system. Zbl 1506.60041
Peletier, Mark; Gavish, Nir; Nyquist, Pierre
5
2023
Atomistic origins of continuum dislocation dynamics. Zbl 1460.60107
Hudson, Thomas; van Meurs, Patrick; Peletier, Mark
4
2020
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
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
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
Fast reaction limits via \(\Gamma\)-convergence of the flux rate functional. Zbl 1523.35271
Peletier, Mark A.; Renger, D. R. Michiel
4
2023
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
Cosh gradient systems and tilting. Zbl 1512.35003
Peletier, Mark A.; Schlichting, André
3
2023
Complexity science. An introduction. Zbl 1410.00027
3
2019
Problems in degenerate diffusion. Zbl 0923.76312
Peletier, Mark Adriaan
3
1997
Sobolev regularity via the convergence rate of convolutions and Jensen’s inequality. Zbl 1185.46026
Peletier, Mark A.; Planqué, Robert; Röger, Matthias
2
2007
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
Self-contact for rods on cylinders. Zbl 1104.74050
van der Heijden, G. H. M.; Peletier, M. A.; Planqué, R.
2
2006
Mini-workshop: Mathematics of biological membranes. Abstracts from the mini-workshop held August 31 – September 6, 2008. Zbl 1177.74021
2
2008
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
Numerical variational methods applied to cylinder buckling. Zbl 1162.74050
Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A.
2
2008
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
Blow-up of interfaces for an inhomogeneous aquifer. Zbl 0938.35140
Guedda, M.; Hilhorst, D.; Peletier, M. A.
1
1999
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
Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport. Zbl 0963.35020
Hilhorst, D.; Peletier, M. A.
1
2000
Stripe patterns and a projection-valued formulation of the eikonal equation. Zbl 1250.74005
Peletier, Mark A.; Veneroni, Marco
1
2012
Universal approximation in dropout neural networks. Zbl 07625172
Manita, Oxana A.; Peletier, Mark A.; Portegies, Jacobus W.; Sanders, Jaron; Senen-Cerda, Albert
1
2022
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
Discrete-to-continuum convergence of charged particles in 1D with annihilation. Zbl 1502.35160
van Meurs, Patrick; Peletier, Mark A.; Požár, Norbert
1
2022
Spatial localization for a general reaction-diffusion system. Zbl 0920.35013
Galiano, Gonzalo; Peletier, Mark Adriaan
1
1998
Large deviations and gradient flows for the Brownian one-dimensional hard-rod system. Zbl 1506.60041
Peletier, Mark; Gavish, Nir; Nyquist, Pierre
5
2023
Fast reaction limits via \(\Gamma\)-convergence of the flux rate functional. Zbl 1523.35271
Peletier, Mark A.; Renger, D. R. Michiel
4
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
16
2022
Universal approximation in dropout neural networks. Zbl 07625172
Manita, Oxana A.; Peletier, Mark A.; Portegies, Jacobus W.; Sanders, Jaron; Senen-Cerda, Albert
1
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.
12
2021
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
7
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.
14
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.
25
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.
80
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
16
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
Variational analysis of a mesoscale model for bilayer membranes. Zbl 1306.49020
Lussardi, Luca; Peletier, Mark A.; Röger, Matthias
11
2014
Conservative-dissipative approximation schemes for a generalized Kramers equation. Zbl 1370.35165
Duong, Manh Hong; Peletier, Mark A.; Zimmer, Johannes
11
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
40
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.
33
2013
Large deviations and gradient flows. Zbl 1292.82023
Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes
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
Stripe patterns and a projection-valued formulation of the eikonal equation. Zbl 1250.74005
Peletier, Mark A.; Veneroni, Marco
1
2012
Interplay of analysis and probability in physics. Abstracts from the workshop held January 22–28, 2012. Zbl 1349.00213
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
53
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.
66
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.
67
2009
Partial localization, lipid bilayers, and the elastica functional. Zbl 1170.74034
Peletier, Mark A.; Röger, Matthias
22
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.
15
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
Sobolev regularity via the convergence rate of convolutions and Jensen’s inequality. Zbl 1185.46026
Peletier, Mark A.; Planqué, Robert; Röger, Matthias
2
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
Cylinder buckling: the mountain pass as an organizing center. Zbl 1134.35042
Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A.
13
2006
Self-contact for rods on cylinders. Zbl 1104.74050
van der Heijden, G. H. M.; Peletier, M. A.; Planqué, R.
2
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
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
6
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.
5
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.
30
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.
5
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.
57
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
Blow-up of interfaces for an inhomogeneous aquifer. Zbl 0938.35140
Guedda, M.; Hilhorst, D.; Peletier, M. A.
1
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.
21
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
3
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 top 5

Cited by 943 Authors

46 Peletier, Mark Adriaan
23 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.
8 Savaré, Giuseppe
7 Alama, Stan
7 Bronsard, Lia
7 Garroni, Adriana
7 Knobloch, Edgar
7 Pavelka, Michal
7 Ren, Xiaofeng
7 Scardia, Lucia
7 Tse, Oliver
6 Carlier, Guillaume
6 Frank, Rupert L.
6 Gao, Yuan
6 Jack, Robert L.
6 Kim, Junseok
6 Rossi, Riccarda
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 Galiano Casas, Gonzalo
5 Gazzola, Filippo
5 Grmela, Miroslav
5 Li, Yibao
5 Liero, Matthias
5 Liu, Jianguo
5 Lussardi, Luca
5 Oden, John Tinsley
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 Cao, Lianghao
4 Cristoferi, Riccardo
4 Ghattas, Omar N.
4 Glasner, Karl B.
4 Hudson, Thomas
4 Jeong, Darae
4 Marheineke, Nicole
4 Mora, Maria Giovanna
4 Morandotti, Marco
4 Muntean, Adrian
4 Niethammer, Barbara
4 Novaga, Matteo
4 Otto, Felix
4 Schlichting, André
4 Schmidtchen, Markus
4 Serfaty, Sylvia
4 Stephan, Artur
4 Tedeev, Anatoliĭ Fedorovich
4 Vazquez, Juan Luis
4 Velasco, Julián
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 Choi, Yongho
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 Goldman, Michael
3 Groh, Rainer M. J.
3 Gvalani, Rishabh S.
3 Hartmann, Carsten
3 Harutyunyan, Davit
3 Herrmann, Michael
...and 843 more Authors
all top 5

Cited in 194 Serials

37 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 Journal of Differential Equations
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Physica D
14 Journal of Mathematical Physics
13 Journal of Computational Physics
13 Journal of the Mechanics and Physics of Solids
13 Journal of Nonlinear Science
13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Communications in Mathematical Physics
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Discrete and Continuous Dynamical Systems
10 Nonlinearity
10 SIAM Journal on Applied Mathematics
9 Communications on Pure and Applied Mathematics
9 Journal of Functional Analysis
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Computer Methods in Applied Mechanics and Engineering
7 Continuum Mechanics and Thermodynamics
6 Discrete and Continuous Dynamical Systems. Series S
6 Advances in Calculus of Variations
6 Journal of Theoretical Biology
5 Journal of Engineering Mathematics
5 Journal of Computational and Applied Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Stochastic Processes and their Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Physics A: Mathematical and Theoretical
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Journal of Mathematical Analysis and Applications
4 Applied Mathematics and Computation
4 SIAM Journal on Numerical Analysis
4 European Journal of Applied Mathematics
4 Journal of Elasticity
4 Journal of Dynamics and Differential Equations
4 Potential Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 Communications in Contemporary Mathematics
4 SIAM Journal on Applied Dynamical Systems
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Communications in Computational Physics
3 Computers & Mathematics with Applications
3 International Journal of Engineering Science
3 Physica A
3 Mathematics of Computation
3 Applied Mathematics and Optimization
3 Mathematics and Computers in Simulation
3 Quarterly of Applied Mathematics
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Probability Theory and Related Fields
3 Journal of Scientific Computing
3 The Annals of Applied Probability
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Interfaces and Free Boundaries
3 Journal of the European Mathematical Society (JEMS)
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Multiscale Modeling & Simulation
3 Journal of Statistical Mechanics: Theory and Experiment
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 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 Dynamical and Control Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Milan Journal of Mathematics
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Oberwolfach Reports
2 Journal of Fixed Point Theory and Applications
2 Journal of Mathematics in Industry
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 Letters. A
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
...and 94 more Serials
all top 5

Cited in 41 Fields

318 Partial differential equations (35-XX)
183 Calculus of variations and optimal control; optimization (49-XX)
179 Statistical mechanics, structure of matter (82-XX)
126 Mechanics of deformable solids (74-XX)
120 Probability theory and stochastic processes (60-XX)
109 Numerical analysis (65-XX)
64 Biology and other natural sciences (92-XX)
58 Fluid mechanics (76-XX)
49 Ordinary differential equations (34-XX)
39 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)
13 Functional analysis (46-XX)
11 Integral equations (45-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Optics, electromagnetic theory (78-XX)
9 Real functions (26-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Systems theory; control (93-XX)
7 Information and communication theory, circuits (94-XX)
6 Computer science (68-XX)
5 Combinatorics (05-XX)
4 Potential theory (31-XX)
4 Statistics (62-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)
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