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math.PR2026
Stochastic Euler Equations with Pseudo-differential Noise: Continuous and Discontinuous Perturbations in Compressible and Incompressible Flows
Kenneth. H. Karlsen, Hao Tang, Feng-Yu Wang
We study stochastic Euler equations in compressible and incompressible regimes, on the whole space and the torus, driven by mixed multiplicative noise: continuous Stratonovich/Itô…
math.PR2024
Convergence of stochastic integrals with applications to transport equations and conservation laws with noise
Kenneth H. Karlsen, Peter H. C. Pang
Convergence of stochastic integrals driven by Wiener processes , with almost surely in , is crucial in analyzing SPDEs. Our focus is on the convergence of the…