Global Weak Solutions to One-dimensional Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients
Year: 2010
Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 3 : pp. 290–304
Abstract
We prove the global existence of weak solutions of the one-dimensional compressible Navier-stokes equations with density-dependent viscosity. In particular, we assume that the initial density belongs to L^1 and L^∞, module constant states at x=-∞ and x=+∞, which may be different. The initial vacuum is permitted in this paper and the results may apply to the one-dimensional Saint-Venant model for shallow water.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v23.n3.6
Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 3 : pp. 290–304
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Compressible Navier-Stokes equations
-
Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier--Stokes Equations with Density-Dependent Viscosity
Jiu, Quansen
Wang, Yi
Xin, Zhouping
SIAM Journal on Mathematical Analysis, Vol. 45 (2013), Iss. 5 P.3194
https://doi.org/10.1137/120879919 [Citations: 25]