List of Publications

Refereed Articles in Journals

   [J32]   M. Herrmann
High-energy waves in superpolynomial FPU-type chains
Journal of Nonlinear Science, 2017
[ bib | preprint ]
   [J31]   M. Herrmann, B. Niethammer, J.J.L. Velázquez
Instabilities and oscillations in coagulation equations with kernels of homogeneity one
Quarterly of Applied Mathematics, 2016
[ bib | preprint ]
   [J30]   M. Herrmann, A. Mikikits-Leitner
KdV waves in atomic chains with nonlocal interactions
Discrete and Continuous Dynamical Systems - Series A, 2016
[ bib | preprint ]
   [J29]   M. Herrmann, K. Matthies
Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains
Nonlinearity, 2015
[ bib | preprint ]
   [J28]   M. Herrmann, B. Niethammer, J.J.L. Velázquez
Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control
Archive for Rational Mechanics and Analysis, 2014
[ bib | preprint ]
   [J27]   M. Helmers, M. Herrmann
Interface dynamics in discrete forward-backward diffusion equations
SIAM Multiscale Modeling and Simulation, 2013
[ bib | preprint ]
   [J26]   M. Herrmann, K. Matthies, H. Schwetlick, J. Zimmer
Subsonic phase transition waves in bistable lattice models with small spinodal region
SIAM Journal on Mathematical Analysis, 2013
[ bib | preprint ]
   [J25]   M. Herrmann
Ground waves in atomic chains with bi-monomial double-well potential
Nonlinear Analysis Series A, 2013
[ bib | preprint ]
      2011 - 2012
   [J24]   M. Herrmann, B. Niethammer, J.J.L. Velázquez
Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint
SIAM Multiscale Modeling and Simulation, 2012
[ bib | preprint  | extended abstract ]
   [J23]   M. Herrmann, Ph. Laurençot, B. Niethammer
Self-similar solutions to a kinetic model for grain growth
Journal of Nonlinear Science, 2012
[ bib | preprint ]
   [J22]   M. Herrmann
Oscillatory waves in discrete scalar conservation laws
Mathematical Models and Methods in Applied Sciences (M3AS), 2012
[ bib | preprint ]
   [J21]   M. Herrmann, H. Schwetlick, J. Zimmer
On selection criteria for problems with moving inhomogeneities
Continuum Mechanics and Thermodynamics, 2012
[ bib | preprint ]
   [J20]   M. Herrmann
Homoclinic standing waves in focusing DNLS equations
Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 2011
[ bib | preprint ]
   [J19]   W. Dreyer, Cl.Guhlke, M. Herrmann
Hysteresis and phase transition in many-particle storage systems
Continuum Mechanics and Thermodynamics, 2011
[ bib | preprint ]
   [J18]   O. Budac, M. Herrmann, B. Niethammer, A. Spielmann
On a model for mass aggregation with maximal size
Kinetic and Related Models, 2011
[ bib | preprint ]
   [J17]   M. Herrmann
Action minimizing fronts in general FPU-type chains
Journal of Nonlinear Science, 2011
[ bib | preprint ]
   [J16]   M. Herrmann and B. Niethammer
Kramers' formula for chemical reactions in the context of Wasserstein gradient flows
Communications in Mathematical Sciences, 2011
[ bib | preprint ]
      2009 - 2010
   [J15]   M. Herrmann
Heteroclinic standing waves in defocussing DNLS equations
Applicable Analysis, 2010
[ bib | preprint ]
   [J14]   M. Herrmann
Unimodal wave trains and solitons in convex FPU chains
Proceedings of the Royal Society of Edinburgh (Section A - Mathematics), 2010
[ bib | preprint ]
   [J13]   M. Herrmann, J. Rademacher
Heteroclinic travelling waves in convex FPU-type chains
SIAM Journal on Mathematical Analysis, 2010
[ bib | preprint ]
   [J12]   M. Herrmann, J. Rademacher
Riemann solvers and undercompressive shocks of convex FPU chains
Nonlinearity, 2010
[ bib | preprint ]
   [J11]   M. Herrmann, A. Segatti
Infinite harmonic chain with heavy mass
Communications on Pure and Applied Analysis (CPAA), 2010
[ bib | preprint ]
   [J10]   M. Herrmann, B. Niethammer, J.J.L. Velázquez
Self-similar solutions to the LSW model with encounters
Journal of Differential Equations, 2009
[ bib | preprint ]
   [J09]   M. Herrmann
Periodic travelling waves in convex Klein-Gordon chains
Nonlinear Analysis, 2009
[ bib | preprint ]
   [J08]   M. Herrmann, Ph. Laurençot, B. Niethammer
Self-similar solutions with fat tails for a coagulation equation with nonlocal drift
Comptes Rendus Mathematique, 2009
[ bib | preprint ]
      2002 - 2008
   [J07]   R. Henseler, M. Herrmann, B. Niethammer, J.J.L. Velázquez
A kinetic model for grain growth
Kinetic and Related Models, 2008
[ bib | preprint ]
   [J06]   Giannoulis, M. Herrmann, A. Mielke
Lagrangian and Hamiltonian two-scale reduction
Journal of Mathematical Physics, 2008
[ bib | preprint ]
   [J05]   W. Dreyer, M. Herrmann
Numerical experiments on the modulation theory for the nonlinear atomic chain
Physica D, 2008
[ bib | preprint ]
   [J04]   M. Herrmann, M. Naldzhieva, B. Niethammer
On a thermodynamically consistent modification of the Becker-Döring equations
Physica D, 2006
[ bib | preprint ]
   [J03]   W. Dreyer, M. Herrmann, A.Mielke
Micromacro transition in the atomic chain via Whitham's modulation equation
Nonlinearity, 2006
[ bib ]
   [J02]   W. Dreyer, M. Herrmann, M. Kunik
Kinetic solutions of the Boltzmann-Peierls-Equation and its moment systems
Continuum Mechanics and Thermodynamics, 2004
[ bib ]
   [J01]   W. Dreyer, M. Herrmann, M. Kunik
Kinetic schemes and initial and boundary value problems for the Euler system
Transport Theory and Statistical Physics, 2002
[ bib ]

Articles in Books

   [B04]   M. Herrmann, K. Matthies
Uniqueness of solitary waves in the high-energy limit of FPU-type chains
to appear in Patterns of Dynamics
[ preprint ]
   [B03]   W. Dreyer, M. Herrmann, J. Rademacher
Wave trains, solitons and modulation theory in FPU chains
in: A. Mielke (Editor), Analysis, Modeling, and Simulation of Multiscale Problems
Springer Berlin, 2006
[ bib ]
   [B02]   J. Giannoulis, M. Herrmann, A.Mielke
Continuum descriptions for the dynamics in discrete lattices: derivation and justification
in: A. Mielke (Editor), Analysis, Modeling, and Simulation of Multiscale Problems
Springer Berlin, 2006
[ bib ]
   [B01]   W. Dreyer, M. Herrmann, M. Kunik, S. Qamar
Kinetic schemes for selected initial and boundary value problems
in: Gerald Warnecke (Editor), Analysis and Numerics for Conservation Laws
Springer Berlin, 2005
[ bib ]

Conference Proceedings

   [P05]   M. Herrmann
A toy model for hysteretic phase transitions
MFO workshop Variational Models for Evolution, to appear in Oberwolfach Reports
[ report ]
   [P04]   M. Herrmann
Interface dynamics in discrete forward-backward diffusion equations
MFO workshop Lattice Differential Equations, Oberwolfach Reports, 10-3 (2014)
[ report ]
   [P03]   M. Herrmann
Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint
MFO workshop Variational Methods for Evolution, Oberwolfach Reports, 8-4 (2013)
[ report ]
   [P02]   M. Herrmann, J. Rademacher
Riemann problems in FPU chains
Proceedings of ICIAM-07, Proceedings in Applied Mathematics and Mechanics (PAMM), 2008
[ bib ]
   [P01]   J. Giannoulis, M. Herrmann, A. Mielke
Effective Lagrangian and Hamiltonian structures for interacting pulses in nonlinear lattices
to appear in Proceedings of EQUADIFF-07, 2007

Theses

   [T02]   Doctoral Thesis, Humboldt-Universität zu Berlin 2005:
Ein Mikro-Makro Übergang für die nichtlineare atomare Kette mit Temperatur
   [T01]   Diploma Thesis, Humboldt-Universität zu Berlin 1999:
Turbulente Strömungen in porösen Medien