ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK
文献类型：期刊论文
| 作者 | Yi, Wang
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2008-10-01 |
| 卷号 | 28期号:4页码:727-748 |
| 关键词 | Zero dissipation limit Navier-Stokes equations shock waves |
| ISSN号 | 0252-9602 |
| 英文摘要 | The zero dissipation limit of the compressible heat-conducting Navier-Stokes equations in the presence of the shock is investigated. It is shown that when the heat conduction coefficient kappa and the viscosity coefficient epsilon satisfy kappa = O(epsilon), kappa/epsilon >= c > 0, as epsilon -> 0 (see (1.3)), if the solution of the corresponding Euler equations is piecewise smooth with shock wave satisfying the Lax entropy condition, then there exists a smooth solution to the Navier-Stokes equations, which converges to the piecewise smooth shock solution of the Euler equations away from the shock discontinuity at a rate of E. The proof is given by a combination of the energy estimates and the matched asymptotic analysis introduced in [3]. |
| 语种 | 英语 |
| WOS记录号 | WOS:000260725000002 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6925]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Yi, Wang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yi, Wang. ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK[J]. ACTA MATHEMATICA SCIENTIA,2008,28(4):727-748. |
| APA | Yi, Wang.(2008).ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK.ACTA MATHEMATICA SCIENTIA,28(4),727-748. |
| MLA | Yi, Wang."ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK".ACTA MATHEMATICA SCIENTIA 28.4(2008):727-748. |
入库方式： OAI收割
来源：数学与系统科学研究院
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