Browsing NTNU Open by Author "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 ...