107 citations · 250 across the 39 of their papers we have counts for
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Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
Luca Galimberti, Helge Holden, Kenneth H. Karlsen +1
We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa--Holm equation perturbed by a convective, position-dependent, noise term.…
Global well-posedness of the viscous Camassa--Holm equation with gradient noise
Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang
We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa--Holm type) perturbed by a convective, position…
A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem
Kenneth H. Karlsen, Michael Kunzinger, Darko Mitrovic
We consider a dynamic capillarity equation with stochastic forcing on a compact Riemannian manifold . \begin{equation*}\tag{P} d \left(u_{\varepsilon,δ}-δΔ u_{\varepsilon,δ}…