Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664303 | Acta Mathematica Scientia | 2012 | 10 Pages |
Abstract
We consider the Cauchy problem for one-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficient. For regular initial data, we show that the unique strong solution exits globally in time and converges to the equilibrium state time asymptotically. When initial density is piecewise regular with jump discontinuity, we show that there exists a unique global piecewise regular solution. In particular, the jump discontinuity of the density decays exponentially and the piecewise regular solution tends to the equilibrium state as t → + ∞.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)