Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data
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 asymp...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2000
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| _version_ | 1797057731626008576 |
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| author | Chen, G Hoff, D Trivisa, K |
| author_facet | Chen, G Hoff, D Trivisa, K |
| author_sort | Chen, G |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:40:36Z |
| format | Journal article |
| id | oxford-uuid:20899752-bdb4-47df-8e2b-f2a30cae8864 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:40:36Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:20899752-bdb4-47df-8e2b-f2a30cae88642022-03-26T11:28:05ZGlobal solutions of the compressible Navier-Stokes equations with large discontinuous initial dataJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:20899752-bdb4-47df-8e2b-f2a30cae8864EnglishSymplectic Elements at Oxford2000Chen, GHoff, DTrivisa, KWe 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. |
| spellingShingle | Chen, G Hoff, D Trivisa, K Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data |
| title | Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data |
| title_full | Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data |
| title_fullStr | Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data |
| title_full_unstemmed | Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data |
| title_short | Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data |
| title_sort | global solutions of the compressible navier stokes equations with large discontinuous initial data |
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