Research

Items by Matthies, Dr Karsten

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Number of items: 25.

Book Sections

Herrmann, M. and Matthies, K., 2017. Forthcoming. Uniqueness of solitary waves in the high-energy limit of FPU-type chains. In: Patterns of Dynamics Confererence. Springer.

Matthies, K. and Theil, F., 2008. Validity and and non-validity of propagation of chaos. In: Mörter, P., Moser, R., Penrose, M., Schwetlick, H. and Zimmer, J., eds. Analysis and Stochastics of Growth Processes and Interface Models. Oxford, pp. 101-119.

Matthies, K., 2006. Exponential estimates in averaging and homogenisation. In: Analysis, modeling and simulation of multiscale problems. Berlin: Springer, 1--19.

Articles

Matthies, K., Stone, G. R. and Theil, F., 2017. The derivation of the linear Boltzmann equation from a Rayleigh gas particle model. Kinetic and Related Models Item availability may be restricted.

Das, A., Acharya, A., Zimmer, J. and Matthies, K., 2013. Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics. Mathematics and Mechanics of Solids, 18 (8), pp. 803-822.

Herrmann, M., Matthies, K., Schwetlick, H. and Zimmer, J., 2013. Subsonic phase transition waves in bistable lattice models with small spinodal region. SIAM Journal on Mathematical Analysis (SIMA), 45 (5), pp. 2625-2645.

Matthies, K. and Theil, F., 2012. A semigroup approach to the justification of kinetic theory. SIAM Journal on Mathematical Analysis (SIMA), 44 (6), 4345–4379.

Acharya, A., Matthies, K. and Zimmer, J., 2010. Travelling wave solutions for a quasilinear model of field dislocation mechanics. Journal of the Mechanics and Physics of Solids, 58 (12), pp. 2043-2053.

Matthies, K. and Theil, F., 2010. Validity and failure of the Boltzmann approximation of kinetic annihilation. Journal of Nonlinear Science, 20 (1), pp. 1-46.

Pfrang, C. and Matthies, K., 2009. Small planar travelling waves in two-dimensional networks of coupled oscillators. Dynamical Systems: An International Journal, 24 (2), pp. 157-170.

Matthies, K., 2008. Exponential averaging under rapid quasiperiodic forcing. Advances in Differential Equations, 13 (5-6), pp. 427-456.

Kamotski, V., Matthies, K. and Smyshlyaev, V. P., 2007. Exponential homogenization of linear second order elliptic PDEs with periodic coefficients. SIAM Journal on Mathematical Analysis (SIMA), 38 (5), pp. 1565-1587.

Matthies, K., Schneider, G. and Uecker, H., 2007. Exponential averaging for traveling wave solutions in rapidly varying periodic media. Mathematische Nachrichten, 280 (4), pp. 408-422.

Matthies, K. and Wayne, C. E., 2006. Wave pinning in strips. Proceedings of the Royal Society of Edinburgh Section A - Mathematics, 136 (5), pp. 971-995.

Friesecke, G. and Matthies, K., 2003. Geometric solitary waves in a 2D mass-spring lattice. Discrete and Continuous Dynamical Systems - Series B, 3 (1), pp. 105-144.

Matthies, K. and Scheel, A., 2003. Exponential averaging for Hamiltonian evolution equations. Transactions of the American Mathematical Society, 355 (2), pp. 747-773.

Friesecke, G. and Matthies, K., 2002. Atomic-scale localization of high-energy solitary waves on lattices. Physica D: Nonlinear Phenomena, 171 (4), pp. 211-220.

This list was generated on Sat Aug 19 20:07:00 2017 IST.