Research

Items by Matthies, Dr Karsten

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Number of items: 21.

Book Sections

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

Boden, A. and Matthies, K., 2014. Forthcoming. Existence and Homogenisation of Travelling Waves Bifurcating from Resonances of Reaction-Diffusion Equations in Periodic Media. Journal of Dynamics and Differential Equations

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.

Matthies, K., 2005. Homogenisation of exponential order for elliptic systems in infinite cylinders. Asymptotic Analysis, 43 (3), pp. 205-232.

Matthies, K., 2003. Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations. Nonlinear Analysis: Theory Methods & Applications, 52 (3), pp. 805-826.

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.

Matthies, K., 2003. Exponentially small splitting of homoclinic orbits of parabolic differential equations under periodic forcing. Discrete and Continuous Dynamical Systems, 9 (3), pp. 585-602.

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.

Matthies, K., 2001. Time-averaging under fast periodic forcing of parabolic partial differential equations: exponential estimates. Journal of Differential Equations, 174 (1), pp. 133-180.

Matthies, K., 1999. A Subshift of Finite Type in the Takens-Bogdanov Bifurcation with D 3 Symmetry. Documenta Mathematica, 4, pp. 463-485.

This list was generated on Mon Sep 29 23:07:18 2014 IST.