KMS Of Academy of mathematics and systems sciences, CAS
| CAUCHY PROBLEM FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS | |
| Lian Ruxu1; Liu Jian2; Li Hailiang2; Xiao Ling3 | |
| 2012-01-01 | |
| 发表期刊 | Acta Mathematica Scientia
 |
| ISSN | 0252-9602 |
| 卷号 | 32期号:1页码:315 |
| 摘要 | We consider the Cauchy problem for one-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficient. For regular initial data, we show that the unique strong solution exits globally in time and converges to the equilibrium state time asymptotically. When initial density is piecewise regular with jump discontinuity, we show that there exists a unique global piecewise regular solution. In particular, the jump discontinuity of the density decays exponentially and the piecewise regular solution tends to the equilibrium state as t -> +infinity. |
| 语种 | 英语 |
| 资助项目 | [NSFC] ; [Huo Ying Dong Fund] ; [Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality] |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/36486 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.College of Mathematics and Information Science,North China University of Water Resources and Electric Power 2.Department of Mathematics,Capital Normal University 3.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Lian Ruxu,Liu Jian,Li Hailiang,et al. CAUCHY PROBLEM FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS[J]. Acta Mathematica Scientia,2012,32(1):315. |
| APA | Lian Ruxu,Liu Jian,Li Hailiang,&Xiao Ling.(2012).CAUCHY PROBLEM FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS.Acta Mathematica Scientia,32(1),315. |
| MLA | Lian Ruxu,et al."CAUCHY PROBLEM FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS".Acta Mathematica Scientia 32.1(2012):315. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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