An approximate scalar conservation law from dynamics of gas absorption
type: Item
instance of: scholarly article
title: An approximate scalar conservation law from dynamics of gas absorption
zbMATH Open document ID: 0702.35161
DOI: 10.1016/0022-0396(90)90072-W
author: Xiangsheng Xu
author: Ralph E. Showalter
published in: Journal of Differential Equations
publication date: 1990-01-01T00:00:00Z
review text: The Cauchy problem for \(u_ t+\epsilon u_{xt}+\alpha (u)_ x\ni 0\) is shown to be well-posed in \(L^ 1\) by semigroup methods. The solution depends continuously on the maximal monotone graph \(\alpha\) and \(\epsilon\geq 0\).
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 4150898
zbMATH Keywords: conservation law
zbMATH Keywords: gas absorption
zbMATH Keywords: regularization
zbMATH Keywords: Cauchy problem
zbMATH Keywords: semigroup methods
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4150898