@Article{JPDE-23-290, author = {Wuming Li and Quansen Jiu }, title = {Global Weak Solutions to One-dimensional Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {3}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n3.6}, url = {http://global-sci.org/intro/article_detail/jpde/5235.html} }