|
|||||
|
|
Local well-posedness to the cauchy problem of the 3-D compressible navier-stokes equations with density-dependent viscosity |
|
| Authors: | Yulin YE Changsheng DOU Quansen JIU |
| Institution: | 1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. School of Statistics, Capital University of Economics and Business, Beijing 100070, China;3. LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;4. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China |
| Abstract: | In this article, we prove the local existence and uniqueness of the classical solution to the Cauchy problem of the 3-D compressible Navier-Stokes equations with large initial data and vacuum, if the shear viscosity μ is a positive constant and the bulk viscosity λ(ρ) = ρβ with β ≥ 0. Note that the initial data can be arbitrarily large to contain vacuum states. |
| Keywords: | Existence and uniqueness classical solution compressible Navier-Stokes equations density-dependent viscosity vacuum |
| 本文献已被 ScienceDirect 等数据库收录！ | |