TY - JOUR
T1 - One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
AU - LIU, Hongxia
AU - YANG, Tong
AU - ZHAO, Huijiang
AU - ZOU, Qingyang
PY - 2014
Y1 - 2014
N2 - This paper is concerned with the Cauchy problem of the one-dimensional compressible Navier–Stokes equations with degenerate temperature dependent transport coefficients which satisfy conditions from the consideration in kinetic theory. A result on the existence and uniqueness of a globally smooth nonvacuum solution is obtained provided that the (γ − 1) · (H3(R)-norm of the initial perturbation)< C for some positive constant C independent of γ − 1. Here γ > 1 is the adiabatic gas constant. This is a Nishida–Smoller type global solvability result with large data.
AB - This paper is concerned with the Cauchy problem of the one-dimensional compressible Navier–Stokes equations with degenerate temperature dependent transport coefficients which satisfy conditions from the consideration in kinetic theory. A result on the existence and uniqueness of a globally smooth nonvacuum solution is obtained provided that the (γ − 1) · (H3(R)-norm of the initial perturbation)< C for some positive constant C independent of γ − 1. Here γ > 1 is the adiabatic gas constant. This is a Nishida–Smoller type global solvability result with large data.
KW - Compressible Navier-Stokes equations
KW - global solution with large data
KW - temperature dependent transport coefficients
KW - Nishida–Smoller type result
UR - http://www.scopus.com/inward/record.url?scp=84987677285&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84987677285&origin=recordpage
U2 - 10.1137/130920617
DO - 10.1137/130920617
M3 - RGC 21 - Publication in refereed journal
VL - 46
SP - 2185
EP - 2228
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 3
ER -