Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 653-672 |
Journal / Publication | Science China Mathematics |
Volume | 58 |
Issue number | 4 |
Online published | 24 Dec 2014 |
Publication status | Published - Apr 2015 |
Link(s)
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.
In: Science China Mathematics, Vol. 58, No. 4, 04.2015, p. 653-672.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review