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DY: Fachverband Dynamik und Statistische Physik
DY 70: Poster: Flows, Patterns, Delay, Reaction Diffusion
DY 70.15: Poster
Donnerstag, 15. März 2018, 15:30–18:00, Poster A
Nonlinear analysis of coupled dissipative system with a conservation law — •Tobias Frohoff-Hülsmann1 and Uwe Thiele1,2 — 1Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster — 2Center of Nonlinear Science (CeNoS), Westfälische Wilhelms-Universität Münster, Corrensstr. 2, 48149 Münster
We investigate the coupled dynamics of a conserved and a non-conserved order parameter field using the generic example of a Cahn-Hilliard equation that is coupled to a Swift-Hohenberg equation. Both equations correspond to gradient dynamics and, here, we employ a coupling that preserves the variational structure. The coupled system is effectively of 8th order and allows for individual and coupled short-scale and long-scale instabilities. We analytically examine the linear and weakly nonlinear behaviour and study the fully nonlinear bifurcation behaviour employing numerical path continuation. The nonlinear results are compared to the results gained with amplitude equations of first and higher orders obtained in the weakly nonlinear limit.