Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843857 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 14 Pages |
Abstract
We find solutions in L1L1 and L∞L∞ for the general domains for certain transport equations arising in the theory of the compressible Navier–Stokes equations. Some a priori estimates in L1L1 and L∞L∞ have been found. Then, the asymptotic behavior of L∞L∞ solutions is found. We also consider solutions in H1H1 and BMO. We show the uniqueness of the solutions in these four function spaces.
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Authors
Hyeong-Ohk Bae, Hi Jun Choe, Bum Ja Jin, Yongsik Kim,