Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)653-672
Journal / PublicationScience China Mathematics
Volume58
Issue number4
Online published24 Dec 2014
Publication statusPublished - Apr 2015

Abstract

We study the vanishing viscosity of the Navier-Stokes equations for interacting shocks. Given an entropy solution to p-system which consists of two different families of shocks interacting at some positive time, we show that such entropy solution is the vanishing viscosity limit of a family of global smooth solutions to the isentropic Navier-Stokes equations. The key point of the proofs is to derive the estimates separately before and after the interaction time and connect the incoming and outgoing viscous shock profiles.

Research Area(s)

  • entropy solution, interacting shock, isentropic Euler equations, isentropic Navier-Stokes equations, vanishing viscosity

Citation Format(s)

Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks. / Huang, FeiMin; Wang, Yi; Wang, Yong et al.
In: Science China Mathematics, Vol. 58, No. 4, 04.2015, p. 653-672.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review