One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 2185-2228 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 46 |
| Issue number | 3 |
| Online published | 26 Jun 2014 |
| Publication status | Published - 2014 |
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Abstract
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.
Research Area(s)
- Compressible Navier-Stokes equations, global solution with large data, temperature dependent transport coefficients, Nishida–Smoller type result
Citation Format(s)
One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data. / LIU, Hongxia; YANG, Tong; ZHAO, Huijiang et al.
In: SIAM Journal on Mathematical Analysis, Vol. 46, No. 3, 2014, p. 2185-2228.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
