Michael Herrmann

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All published works
Action Title Year Authors
+ PDF Chat Hydrodynamics of a discrete conservation law 2024 Patrick Sprenger
Christopher Chong
Emmanuel Okyere
Michael Herrmann
P. G. Kevrekidis
Mark A. Hoefer
+ PDF Chat Hydrodynamics of a Discrete Conservation Law 2024 Patrick Sprenger
Christopher Chong
Emmanuel Okyere
Michael Herrmann
P. G. Kevrekidis
Mark A. Hoefer
+ PDF Chat Hysteretic dynamics of phase interfaces in bilinear forward-backward diffusion equations 2024 Michael Herrmann
Dirk Janßen
+ PDF Chat Efficient Random Walks on Riemannian Manifolds 2023 Simon Schwarz
Michael Herrmann
Anja Sturm
Max Wardetzky
+ PDF Chat Korteweg–de Vries waves in peridynamical media 2023 Michael Herrmann
Katia Kleine
+ PDF Chat Instability of Hysteretic Phase Interfaces in a Mean-Field Model with Inhomogeneities 2023 Michael Herrmann
Barbara Niethammer
+ Korteweg-de Vries waves in peridynamical media 2023 Michael Herrmann
Katia Kleine
+ Traveling phase interfaces in viscous forward-backward diffusion equations 2023 Carina Geldhauser
Michael Herrmann
Dirk Janßen
+ Sub-Riemannian Random Walks: From Connections to Retractions 2023 Michael Herrmann
Pit Neumann
Simon Schwarz
Anja Sturm
Max Wardetzky
+ PDF Chat Dispersive shock waves in lattices: A dimension reduction approach 2022 Christopher Chong
Michael Herrmann
P. G. Kevrekidis
+ Efficient Random Walks on Riemannian Manifolds 2022 Simon Schwarz
Michael Herrmann
Anja Sturm
Max Wardetzky
+ Instability of hysteretic phase interfaces in a mean-field model with inhomogeneities 2022 Michael Herrmann
Barbara Niethammer
+ Dispersive Shock Waves in Lattices: A Dimension Reduction Approach 2022 Christopher Chong
Michael Herrmann
P. G. Kevrekidis
+ PDF Chat A Uniqueness Result for a Simple Superlinear Eigenvalue Problem 2021 Michael Herrmann
Karsten Matthies
+ PDF Chat Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits 2020 Michael Herrmann
Karsten Matthies
+ Nonlinear and Nonlocal Eigenvalue Problems 2019 Michael Herrmann
Karsten Matthies
+ PDF Chat Mass transport in Fokker–Planck equations with tilted periodic potential 2019 Michael Herrmann
Barbara Niethammer
+ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains 2019 Michael Herrmann
Karsten Matthies
+ Solitary waves in atomic chains and peridynamical media$^\dagger$ 2019 Michael Herrmann
Karsten Matthies
+ Nonlinear and Nonlocal Eigenvalue Problems 2019 Michael Herrmann
Karsten Matthies
+ PDF Chat Hysteresis and Phase Transitions in a Lattice Regularization of an Ill-Posed Forward–Backward Diffusion Equation 2018 Michael Helmers
Michael Herrmann
+ PDF Chat KdV-like solitary waves in two-dimensional FPU-lattices 2018 Fanzhi Chen
Michael Herrmann
+ Numerical simulations of magnetic billiards in a convex domain in $\mathbb{R}^2$ 2017 Peter Albers
Gautam Dilip Banhatti
Michael Herrmann
+ PDF Chat Uniqueness of Solitary Waves in the High-Energy Limit of FPU-Type Chains 2017 Michael Herrmann
Karsten Matthies
+ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains 2017 Michael Herrmann
Karsten Matthies
+ Numerical simulations of magnetic billiards in a convex domain in $\mathbb{R}^2$ 2017 Peter Albers
Gautam Dilip Banhatti
Michael Herrmann
+ Uniqueness of solitary waves in the high-energy limit of FPU-type chains 2016 Michael Herrmann
Karsten Matthies
+ Instabilities and oscillations in coagulation equations with kernels of homogeneity one 2016 Michael Herrmann
Barbara Niethammer
Juan J. L. Velázquez
+ PDF Chat High-Energy Waves in Superpolynomial FPU-Type Chains 2016 Michael Herrmann
+ Uniqueness of solitary waves in the high-energy limit of FPU-type chains 2016 Michael Herrmann
Karsten Matthies
+ PDF Chat KdV waves in atomic chains with nonlocal interactions 2015 Michael Herrmann
Alice Mikikits‐Leitner
+ PDF Chat Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains 2015 Michael Herrmann
Karsten Matthies
+ PDF Chat Rate-Independent Dynamics and Kramers-Type Phase Transitions in Nonlocal Fokker–Planck Equations with Dynamical Control 2014 Michael Herrmann
Barbara Niethammer
Juan J. L. Velázquez
+ PDF Chat Subsonic Phase Transition Waves in Bistable Lattice Models with Small Spinodal Region 2013 Michael Herrmann
Karsten Matthies
Hartmut Schwetlick
Johannes Zimmer
+ PDF Chat Interface Dynamics in Discrete Forward-Backward Diffusion Equations 2013 Michael Helmers
Michael Herrmann
+ PDF Chat Ground waves in atomic chains with bi-monomial double-well potential 2012 Michael Herrmann
+ PDF Chat Self-Similar Solutions to a Kinetic Model for Grain Growth 2012 Michael Herrmann
Philippe Laurençot
Barbara Niethammer
+ PDF Chat Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint 2012 Michael Herrmann
Barbara Niethammer
Juan J. L. Velázquez
+ PDF Chat On selection criteria for problems with moving inhomogeneities 2011 Michael Herrmann
Hartmut Schwetlick
Johannes Zimmer
+ PDF Chat OSCILLATORY WAVES IN DISCRETE SCALAR CONSERVATION LAWS 2011 Michael Herrmann
+ PDF Chat Kramers’ formula for chemical reactions in the context of Wasserstein gradient flows 2011 Michael Herrmann
Barbara Niethammer
+ PDF Chat Homoclinic standing waves in focusing DNLS equations 2011 Michael Herrmann
+ PDF Chat On a model for mass aggregation with maximal size 2011 Ondrej Budáč
Michael Herrmann
Barbara Niethammer
Andrej Spielmann
+ PDF Chat Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization 2010 Michael Herrmann
+ PDF Chat Action Minimising Fronts in General FPU-type Chains 2010 Michael Herrmann
+ PDF Chat Unimodal wavetrains and solitons in convex Fermi–Pasta–Ulam chains 2010 Michael Herrmann
+ PDF Chat Homoclinic standing waves in focussing DNLS equations --Variational approach via constrained optimization 2010 Michael Herrmann
+ PDF Chat Riemann solvers and undercompressive shocks of convex FPU chains 2010 Michael Herrmann
Jens D. M. Rademacher
+ Infinite harmonic chain with heavy mass 2010 Michael Herrmann
Antonio Segatti
+ PDF Chat Heteroclinic Travelling Waves in Convex FPU-Type Chains 2010 Michael Herrmann
Jens D. M. Rademacher
+ Hysteresis and phase transition in many-particle storage systems 2010 Wolfgang Dreyer
Clemens Guhlke
Michael Herrmann
+ Self-similar solutions for the LSW model with encounters 2009 Michael Herrmann
Barbara Niethammer
Juan J. L. Velázquez
+ PDF Chat Self-similar solutions with fat tails for a coagulation equation with nonlocal drift 2009 Michael Herrmann
Philippe Laurençot
Barbara Niethammer
+ PDF Chat Periodic travelling waves in convex Klein–Gordon chains 2009 Michael Herrmann
+ Infinite harmonic chain with heavy mass 2008 Michael Herrmann
Antonio Segatti
+ PDF Chat Lagrangian and Hamiltonian two-scale reduction 2008 Johannes Giannoulis
Michael Herrmann
Alexander Mielke
+ PDF Chat A kinetic model for grain growth 2008 Reiner Henseler
Michael Herrmann
Barbara Niethammer
Juan J. L. Velázquez
+ Riemann problems in FPU chains 2007 Michael Herrmann
Jens D. M. Rademacher
+ Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification 2006 Johannes Giannoulis
Michael Herrmann
Alexander Mielke
+ Kinetic Schemes for Selected Initial and Boundary Value Problems 2005 Wolfgang Dreyer
Michael Herrmann
Matthias Kunik
Shamsul Qamar
+ Kinetic solutions of the Boltzmann-Peierls equation and its moment systems 2004 W. Dreyer
Michael Herrmann
Matthias Kunik
+ KINETIC SCHEMES AND INITIAL BOUNDARY VALUE PROBLEMS FOR THE EULER SYSTEM 2002 Wolfgang Dreyer
Michael Herrmann
Matthias Kunik
+ Building nonlinear data models with self-organizing maps 1996 Ralf Der
Gerd Balzuweit
Michael Herrmann
+ Pion source sizes in heavy ion collisions 1995 Michael Herrmann
+ A relativistic method for the nonrelativistic gap problem 1989 Michael Herrmann
+ Adsorption at Random Chains 1987 H. Englisch
Michael Herrmann
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Unimodal wavetrains and solitons in convex Fermi–Pasta–Ulam chains 2010 Michael Herrmann
22
+ PDF Chat Heteroclinic Travelling Waves in Convex FPU-Type Chains 2010 Michael Herrmann
Jens D. M. Rademacher
17
+ PDF Chat Existence theorem for solitary waves on lattices 1994 Gero Friesecke
Jonathan A. D. Wattis
17
+ Micro–macro transition in the atomic chain via Whitham's modulation equation 2005 Wolfgang Dreyer
Michael Herrmann
Alexander Mielke
14
+ Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy 2003 Gero Friesecke
Robert L. Pego
10
+ Solitary waves on FPU lattices: II. Linear implies nonlinear stability 2002 Gero Friesecke
Robert L. Pego
10
+ PDF Chat Travelling waves in the Fermi-Pasta-Ulam lattice 2000 Gérard Iooss
10
+ PDF Chat Cnoidal Waves on Fermi–Pasta–Ulam Lattices 2014 Gero Friesecke
Alice Mikikits‐Leitner
9
+ Solitary Waves with Prescribed Speed on Infinite Lattices 1997 Didier Smets
Michel Willem
9
+ PDF Chat Asymptotic Two-Soliton Solutions in the Fermi-Pasta-Ulam Model 2009 A. Hoffman
C. Eugene Wayne
8
+ Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory 2003 Gero Friesecke
Robert L. Pego
8
+ PDF Chat Excitation thresholds for nonlinear localized modes on lattices 1999 Michael I. Weinstein
8
+ PDF Chat KdV waves in atomic chains with nonlocal interactions 2015 Michael Herrmann
Alice Mikikits‐Leitner
8
+ PDF Chat Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains 2015 Michael Herrmann
Karsten Matthies
7
+ PDF Chat Subsonic Phase Transition Waves in Bistable Lattice Models with Small Spinodal Region 2013 Michael Herrmann
Karsten Matthies
Hartmut Schwetlick
Johannes Zimmer
7
+ Counter-propagating Waves on Fluid Surfaces and the Continuum Limit of the Fermi-Pasta-Ulam Model 2000 Guido Schneider
C. Eugene Wayne
7
+ PDF Chat High-Energy Waves in Superpolynomial FPU-Type Chains 2016 Michael Herrmann
7
+ PDF Chat Counter-propagating two-soliton solutions in the Fermi–Pasta–Ulam lattice 2008 Andrew M. Hoffman
C. Eugene Wayne
6
+ Travelling waves in lattice dynamical systems 2000 А. А. Панков
K. Pfl�ger
6
+ Almost Everything You Always Wanted to Know About the Toda Equation 2001 Gerald Teschl
6
+ Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations 2012 Martina Chirilus‐Bruckner
Christopher Chong
Oskar Prill
Guido Schneider
5
+ PDF Chat Geometric solitary waves in a 2D mass-spring lattice 2003 Gero Friesecke
Karsten Matthies
5
+ PDF Chat Riemann solvers and undercompressive shocks of convex FPU chains 2010 Michael Herrmann
Jens D. M. Rademacher
5
+ PDF Chat KdV-like solitary waves in two-dimensional FPU-lattices 2018 Fanzhi Chen
Michael Herrmann
5
+ PDF Chat Macroscopic lattice dynamics 1994 M.H. Hays
C. David Levermore
Peter D. Miller
5
+ <i>N</i>-Soliton States of the Fermi–Pasta–Ulam Lattices 2011 Tetsu Mizumachi
5
+ PDF Chat Uniqueness of Solitary Waves in the High-Energy Limit of FPU-Type Chains 2017 Michael Herrmann
Karsten Matthies
5
+ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains 2019 Michael Herrmann
Karsten Matthies
5
+ Asymptotic Stability of N-Solitary Waves of the FPU Lattices 2012 Tetsu Mizumachi
5
+ PDF Chat Nanopteron solutions of diatomic Fermi–Pasta–Ulam–Tsingou lattices with small mass-ratio 2017 A. Hoffman
James Wright
5
+ Hyperbolic Systems of Conservation Laws 2002 Philippe G. LeFloch
5
+ PDF Chat A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit 2012 A. Hoffman
C. Eugene Wayne
4
+ The Variational Formulation of the Fokker--Planck Equation 1998 Richard W. Jordan
David Kinderlehrer
Félix Otto
4
+ From Diffusion to Reaction via $\Gamma$-Convergence 2010 Mark A. Peletier
Giuseppe Savaré
Marco Veneroni
4
+ Analysis, Modeling and Simulation of Multiscale Problems 2006 Alexander Mielke
4
+ PDF Chat Approach to self‐similarity in Smoluchowski's coagulation equations 2003 Govind Menon
Robert L. Pego
4
+ On dispersive difference schemes. I 1988 Jonathan Goodman
Peter D. Lax
3
+ Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity 2008 А. А. Панков
Vassilis M. Rothos
3
+ A free boundary problem for aggregation by short range sensing and differentiated diffusion 2015 Jan Haškovec
Dietmar Oelz
3
+ Existence of pulses in excitable media with nonlocal coupling 2014 Grégory Faye
Arnd Scheel
3
+ PDF Chat Pinning and Unpinning in Nonlocal Systems 2016 Taylor Anderson
Grégory Faye
Arnd Scheel
D. Stauffer
3
+ PDF Chat Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization 2010 Michael Herrmann
3
+ Bifurcation from simple eigenvalues 1971 Michael G. Crandall
Paul H. Rabinowitz
3
+ PDF Chat Asymptotic Stability of Lattice Solitons in the Energy Space 2009 Tetsu Mizumachi
3
+ Some global results for nonlinear eigenvalue problems 1971 Paul H. Rabinowitz
3
+ Dispersive approximations in fluid dynamics 1991 Thomas Y. Hou
Peter D. Lax
3
+ PDF Chat Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint 2012 Michael Herrmann
Barbara Niethammer
Juan J. L. Velázquez
3
+ Initial and boundary value problems of hyperbolic heat conduction 1999 Wolfgang Dreyer
Matthias Kunik
3
+ Maximum entropy principle revisited 1998 Wolfgang Dreyer
Matthias Kunik
3
+ Boltzmann Type Schemes for Gas Dynamics and the Entropy Property 1990 Benoı̂t Perthame
3