8 citations · 9 across the 7 of their papers we have counts for
7 papers
The Neumann problem for a multivalued p-Laplace equation of Allen-Cahn type with a multiplicative stochastic force
C. Bauzet, F. Lebon, K. Schmitz +2
In this paper, we consider a parabolic problem with constraint written as a differential inclusion, driven by a multiplicative colored noise and involving a p-Laplace operator (for…
Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions
Caroline Bauzet, Kerstin Schmitz, Cédric Sultan +1
In this contribution, we are interested in the analysis of a semi-implicit time discretization scheme for the approximation of a parabolic equation driven by multiplicative colored…
Theoretical analysis of a finite-volume scheme for a stochastic Allen-Cahn problem with constraint
Caroline Bauzet, Cédric Sultan, Guy Vallet +1
The aim of this contribution is to address the convergence study of a time and space approximation scheme for an Allen-Cahn problem with constraint and perturbed by a multiplicativ…
On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force
Caroline Bauzet, Kerstin Schmitz, Aleksandra Zimmermann
We address an original approach for the convergence analysis of a finite-volume scheme for the approximation of a stochastic diffusion-convection equation with multiplicative noise…
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…
Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise
Caroline Bauzet, Flore Nabet, Kerstin Schmitz +1
We study here the approximation by a finite-volume scheme of a heat equation forced by a Lipschitz continuous multiplicative noise in the sense of Itô. More precisely, we consider…
Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation
Caroline Bauzet, Frédéric Lebon, Asghar Ali Maitlo +1
In this contribution, a stochastic nonlinear evolution system under Neumann boundary conditions is investigated. Precisely, we are interested in finding an existence and uniqueness…