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math.DS2024
Noncommutative orbital stability of stochastic patterns in Banach spaces
Joris van Winden
We consider stochastic perturbations of PDEs which have special pattern solutions, such as (nonlinear) travelling waves, solitons, and spiral waves. We show orbital stability of th…
math.DS2024
Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We study a parametrically forced nonlinear Schrödinger (PFNLS) equation, driven by multiplicative translation-invariant noise. We show that a solitary wave in the stochastic equati…