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math.AP2026
A dispersive extension result for a class of nonlocal nonlinearities
Bastian Hilder, Christian Kuehn
We prove that a class of nonlocal nonlinearities on periodic Sobolev spaces can be expressed as a trace of the unique mild solution to a local dispersive problem consisting of a sy…
math.AP2026
Global bifurcation of doubly periodic gravity-capillary waves on Beltrami flows
Bastian Hilder, Giang To, Erik Wahlén
We prove the existence of a global family of steady, doubly periodic gravity-capillary waves on Beltrami flows. This is the first rigorous existence result for genuinely three-dime…
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…