Karsten Matthies
Title
Cited by
Cited by
Year
Geometric solitary waves in a 2D mass-spring lattice
G Friesecke, K Matthies
Discrete & Continuous Dynamical Systems-B 3 (1), 105, 2003
612003
Atomic-scale localization of high-energy solitary waves on lattices
G Friesecke, K Matthies
Physica D: Nonlinear Phenomena 171 (4), 211-220, 2002
582002
Time-averaging under fast periodic forcing of parabolic partial differential equations: exponential estimates
K Matthies
Journal of Differential Equations 174 (1), 133-180, 2001
382001
Exponential averaging for Hamiltonian evolution equations
K Matthies, A Scheel
Transactions of the American Mathematical Society 355 (2), 747-773, 2003
252003
Subsonic phase transition waves in bistable lattice models with small spinodal region
M Herrmann, K Matthies, H Schwetlick, J Zimmer
SIAM Journal on Mathematical Analysis 45 (5), 2625–2645, 2013
162013
Travelling wave solutions for a quasilinear model of field dislocation mechanics
A Acharya, K Matthies, J Zimmer
Journal of the Mechanics and Physics of Solids 58 (12), 2043-2053, 2010
162010
Exponential homogenization of linear second order elliptic pdes with periodic coefficients
V Kamotski, K Matthies, VP Smyshlyaev
SIAM Journal on Mathematical Analysis 38 (5), 1565-1587, 2007
132007
Wave pinning in strips
K Matthies, CE Wayne
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136 (05 …, 2006
132006
Homogenisation of exponential order for elliptic systems in infinite cylinders
K Matthies
Asymptotic Analysis 43 (3), 205-232, 2005
132005
A subshift of finite type in the Takens-Bogdanov bifurcation with D 3 symmetry
K Matthies
Doc. Math. J. DMV 4, 463 - 485, 1999
121999
Validity and failure of the Boltzmann approximation of kinetic annihilation
K Matthies, F Theil
Journal of nonlinear science 20 (1), 1-46, 2010
112010
Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains
M Herrmann, K Matthies
Nonlinearity 28, 2767-2789, 2015
102015
Exponential averaging for traveling wave solutions in rapidly varying periodic media
K Matthies, G Schneider, H Uecker
Mathematische Nachrichten 280 (4), 408-422, 2007
10*2007
Uniqueness of solitary waves in the high-energy limit of FPU-type chains
M Herrmann, K Matthies
Patterns of Dynamics. PaDy 2016. Springer Proceedings in Mathematics …, 2017
92017
Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics
A Das, A Acharya, J Zimmer, K Matthies
Mathematics and Mechanics of Solids 18 (8), 803-822, 2013
92013
A Semigroup Approach to the Justification of Kinetic Theory
K MATTHIES, F THEIL
SIAM J. Math. Anal. 44 (6), 4345–4379, 2012
92012
Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains
M Herrmann, K Matthies
Transactions of the American Mathematical Society 372 (5), 3425-3486, 2019
62019
Validity and non-validity of propagation of chaos
K Matthies, F Theil
Analysis and Stochastics of Growth Processes and Interface Models, P …, 2008
62008
Exponentially small splitting of homoclinic orbits of parabolic differential equations under periodic forcing
K Matthies
Discrete Contin. Dyn. Syst. 9, 585-602, 2003
62003
The Derivation of the Linear Boltzmann Equation from a Rayleigh Gas Particle Model
K Matthies, G Stone, F Theil
Kinetic and Related Models 11, 137 - 177, 2018
52018
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Articles 1–20