We find solutions in L1 and L∞ for the general domains for certain transport equations arising in the theory of the compressible Navier-Stokes equations. Some a priori estimates in L1 and L∞ have been found. Then, the asymptotic behavior of L∞ solutions is found. We also consider solutions in H1 and BMO. We show the uniqueness of the solutions in these four function spaces.
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2008 May 1|
Bibliographical noteFunding Information:
The first author was supported by KOSEF (R01-2006-10472-0).
All Science Journal Classification (ASJC) codes
- Applied Mathematics