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math.AP2024
Fast-moving pattern interfaces close to a Turing instability in an asymptotic model for the three-dimensional Bénard-Marangoni problem
Bastian Hilder, Jonas Jansen
We study the bifurcation of planar patterns and fast-moving pattern interfaces in an asymptotic long-wave model for the three-dimensional Bénard-Marangoni problem, which is close t…
math.AP2018
Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law
Bastian Hilder
We consider the one-dimensional Swift-Hohenberg equation coupled to a conservation law. As a parameter increases the system undergoes a Turing bifurcation. We study the dynamics ne…