1 citations · 2 across the 5 of their papers we have counts for
6 papers
No free lunch for continuity of stochastic convolutions
Mark Veraar, Joris van Winden
We construct compact, exponentially stable -semigroups on Hilbert spaces such that, for every , the stochastic convolution $U_g(t)=\int_0^t S(t-s)g(s)\,\mathrm{d}…
The Schrödinger equation with fluctuating nonlinearity in the energy space
Max Sauerbrey, Joris van Winden
We study nonlinear Schrödinger equations with nonlinear Stratonovich noise \begin{equation*} \mathrm{d} u\,=\, i\bigl[ Δu \,+\, λ|u|^{p-1}u\bigr] \, \mathrm{d} t \,+\,i|u|^{(q-1)/2…
Synchronization by noise for traveling pulses
Christian Kuehn, Joris van Winden
We consider synchronization by noise for stochastic partial differential equations which support traveling pulse solutions, such as the FitzHugh-Nagumo equation. We show that any t…
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…
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…
Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We prove well-posedness in for any of a parametrically forced nonlinear Schrödinger equation (PFNLS) in one dimension driven by multiplicative S…