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CAUCHY PROBLEM FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS
Lian Ruxu1; Liu Jian2; Li Hailiang2; Xiao Ling3
2012
Source PublicationActa Mathematica Scientia
ISSN0252-9602
Volume32Issue:1Pages:315
AbstractWe 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.
Language英语
Funding Project[NSFC] ; [Huo Ying Dong Fund] ; [Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/36486
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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