Abstract
The convergence from a sequence of the unique global solutions to the Cauchy problems for compressible viscoelastic fluids to a unique global solution of the incompressible Navier-Stokes equations without external forces is studied for a wide class of initial data as the Mach number and the elastic coefficient go to zero simultaneously. The proofs are based on a set of conservation laws and a list of estimates which are uniform in the scaling parameter as well as a dispersive estimate for the wave equation.
| Original language | English (US) |
|---|---|
| Title of host publication | Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics |
| Subtitle of host publication | In Memory of Gu Chaohao |
| Publisher | World Scientific Publishing Co. |
| Pages | 243-269 |
| Number of pages | 27 |
| ISBN (Electronic) | 9789814578097 |
| ISBN (Print) | 9789814578073 |
| DOIs | |
| State | Published - Jan 1 2014 |
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy