Global solutions of the compressible navier-stokes equations with larger discontinuous initial data |
| |
| Authors: | Gui-Qiang Chen David Hoff Konstantina Trivisa |
| |
| Institution: | 1. Department of Mathematics , Northwestern University , Evanston, IL, 60208 E-mail: gqchen@math.nwu.edu;2. Department of Mathematics , Bloomington, IN, 47405 E-mail: hoff@indiana. edu;3. Department of Mathematics , Northwestern University , Evanston, IL, 60208 E-mail: trivisa@math:nwv. edu |
| |
| Abstract: | We prove the global existence of weak solutions to the Navier-Stokes equations for compressible, heat-conducting flow in one space dimension with large, discontinuous initial data, and we obtain apriori estimates for these solutions which are independent of time, sufficient to determine their asymptotic behavior. In particular, we show that, as time goes to infinity, the solution tends to a constant state determined by the initial mass and the initial energy. and that the magnitudes of singularities in the solution decay to zero. |
| |
| Keywords: | |
|
|
