Blar i NTNU Open på forfatter "Karlsen, Kenneth Aksel Hvistendahl"
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Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
Galimberti, Luca; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung (Peer reviewed; Journal article, 2023)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. We establish the first global-in-time ... -
Global well-posedness of the viscous Camassa–Holm equation with gradient noise
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung (Peer reviewed; Journal article, 2022)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-dependent noise term. We establish the ... -
Strong solutions of a stochastic differential equation with irregular random drift
Karlsen, Kenneth Aksel Hvistendahl; Holden, Helge; Pang, Ho Cheung (Peer reviewed; Journal article, 2022)We present a well-posedness result for strong solutions of one-dimensional stochastic differential equations (SDEs) of the form where the drift coefficient is random and irregular, with a weak derivative satisfying for ...