ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY
文献类型：期刊论文
| 作者 | Hong Hakho1; Huang Feimin2
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2012 |
| 卷号 | 32期号:1页码:389-412 |
| 关键词 | NONLINEAR STABILITY RAREFACTION WAVES GLOBAL STABILITY VISCOUS-GAS SYSTEM compressible Navier-Stokes equations free boundary superposition of shock wave and contact discontinuity stability |
| ISSN号 | 0252-9602 |
| 其他题名 | Asymptotic behavior of solutions toward the superposition of contact discontinuity and shock wave for compressible Navier-Stokes equations with free boundary |
| 英文摘要 | A free boundary problem for the one-dimensional compressible Navier-Stokes equations is investigated. The asymptotic behavior of solutions toward the superposition of contact discontinuity and shock wave is established under some smallness conditions. To do this, we first construct a new viscous contact wave such that the momentum equation is satisfied exactly and then determine the shift of the viscous shock wave. By using them together with an inequality concerning the heat kernel in the half space, we obtain the desired a priori estimates. The proof is based on the elementary energy method by the anti-derivative argument. |
| 资助项目 | [NSFC] ; [CAS-TWAS] ; [AMSS in Chinese Academy of Sciences] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4458258 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/55669]  |
| 专题 | 应用数学研究所 |
| 作者单位 | 1.Acad Sci, Institute Math, Pyonyang, North Korea 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Hong Hakho,Huang Feimin. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY[J]. ACTA MATHEMATICA SCIENTIA,2012,32(1):389-412. |
| APA | Hong Hakho,&Huang Feimin.(2012).ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY.ACTA MATHEMATICA SCIENTIA,32(1),389-412. |
| MLA | Hong Hakho,et al."ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY".ACTA MATHEMATICA SCIENTIA 32.1(2012):389-412. |
入库方式： OAI收割
来源：数学与系统科学研究院
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