Journal article icon

Journal article

Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data

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 a-priori 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.

Actions


Access Document


Publisher copy:
10.1080/03605300008821583

Authors


Journal:
Communications in Partial Differential Equations
Volume:
25
Issue:
11-12
Pages:
2233-2257
Publication date:
2000-01-01
DOI:
EISSN:
1532-4133
ISSN:
0360-5302
URN:
uuid:20899752-bdb4-47df-8e2b-f2a30cae8864
Source identifiers:
203161
Local pid:
pubs:203161

Terms of use


Metrics


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP