TY - JOUR
T1 - Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks
AU - Huang, FeiMin
AU - Wang, Yi
AU - Wang, Yong
AU - Yang, Tong
PY - 2015/4
Y1 - 2015/4
N2 - 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.
AB - 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.
KW - entropy solution
KW - interacting shock
KW - isentropic Euler equations
KW - isentropic Navier-Stokes equations
KW - vanishing viscosity
UR - http://www.scopus.com/inward/record.url?scp=84925506737&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84925506737&origin=recordpage
U2 - 10.1007/s11425-014-4962-4
DO - 10.1007/s11425-014-4962-4
M3 - RGC 21 - Publication in refereed journal
SN - 1674-7283
VL - 58
SP - 653
EP - 672
JO - Science China Mathematics
JF - Science China Mathematics
IS - 4
ER -