3 papers
math.PR2024
Well-posedness of stochastic evolution equations with Hölder continuous noise
Kerstin Schmitz, Aleksandra Zimmermann
We show existence and pathwise uniqueness of probabilistically strong solutions to a pseudomonotone stochastic evolution problem on a bounded domain , $d\in…
math.NA2023
Finite Volume Approximations for Non-Linear Parabolic Problems with Stochastic Forcing
Caroline Bauzet, Flore Nabet, Kerstin Schmitz +1
We propose a two-point flux approximation finite-volume scheme for a stochastic non-linear parabolic equation with a multiplicative noise. The time discretization is implicit excep…
math.AP2014
Multi-dimensional scalar balance laws with discontinuous flux
Piotr Gwiazda, Agnieszka Swierczewska-Gwiazda, Petra Wittbold +1
We consider the problem of existence of entropy weak solutions to scalar balance laws with a dissipative source term. The flux function may be discontinuous with respect both to th…