Showing math.APShow all
3 papers · 1 filter
math.AP2026
Slow-moving pattern interfaces in general directions for a two-dimensional Swift-Hohenberg-type equation
Bastian Hilder, Jonas Jansen
We rigorously prove the bifurcation of slow-moving pattern interfaces with general direction in a two-dimensional Swift-Hohenberg-type model close to a Turing instability for a lar…
math.AP2025
Pattern formation and film rupture in a two-dimensional thermocapillary thin-film model of the Bénard-Marangoni problem
Stefano Böhmer, Bastian Hilder, Jonas Jansen
We study two-dimensional, stationary square and hexagonal patterns in the thermocapillary deformational thin-film model for the fluid height \begin{equation*} \partial_t h+\nabl…
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…