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Remark on compressible Navier–Stokes equations with density-dependent viscosity and discontinuous initial data
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2008, Vol. 339 Issue 2, p1413-1424. 12p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we study the free boundary problem for 1D compressible Navier–Stokes equations with density-dependent viscosity. We focus on the case where the viscosity coefficient vanishes on vacuum. We prove the global existence and uniqueness for discontinuous solutions to the Navier–Stokes equations when the initial density is a bounded variation function, and give a decay result for the density as . [Copyright &y& Elsevier]
- Subjects :
- *PARTIAL differential equations
*EQUATIONS
*MATHEMATICS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 339
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 27228263
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.08.002