Method of vanishing viscosity and explicit solution of the Riemann problem for scalar conservation law
type: Item
instance of: scholarly article
title: Method of vanishing viscosity and explicit solution of the Riemann problem for scalar conservation law
zbMATH Open document ID: 0951.35077
published in: Moscow University Mathematics Bulletin
publication date: 2000-10-31T00:00:00Z
review text: The paper addresses the Riemann problem on the decay of arbitrary discontinuity for scalar quasilinear conservation law with one spatial variable \[ u_t + f(u)_x = 0, \qquad u\big|_{t=0} = \begin{cases} u^-, & x<0\\ u^+, &x>0\end{cases}. \] The author derives a formula for the solution of this problem. For the corresponding parabolic problem the existence and uniqueness of the automodel solution is proved.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1524017
zbMATH Keywords: scalar quasilinear conservation law
zbMATH Keywords: automodel solution
author: Boris Andreianov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1524017