Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise
type: Item
instance of: scholarly article
title: Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise
zbMATH Open document ID: 1358.65007
published in: Stochastic and Partial Differential Equations. Analysis and Computations
publication date: 2017-02-03T00:00:00Z
review text: The authors are concerned with the discretization by monotone finite volume schemes of multi-dimensional nonlinear scalar conservation laws forced by a multiplicative noise featuring a time- and space-dependent flux-function and a given initial data in \(L^2({\mathbb R}^d)\). The well-posedness of solutions is established together with the convergence of the finite volume approximation under a suitable stability condition.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6680201
zbMATH Keywords: stochastic PDEs
zbMATH Keywords: first-order hyperbolic equations
zbMATH Keywords: Young measures
zbMATH Keywords: monotone finite volume schemes
zbMATH Keywords: nonlinear scalar conservation laws
zbMATH Keywords: multiplicative noise
zbMATH Keywords: convergence
zbMATH Keywords: stability
author: Caroline Bauzet
author: Julia Charrier
author: T. Gallouët
MaRDI profile type: Publication
full work available at URL: s40072-015-0052-z
OpenAlex ID: W2099341276
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DOI: 10.1007/S40072-015-0052-Z
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description: scientific article; zbMATH DE number 6680201