ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

CSpace > 应用数学研究所

	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TOWARD THE SUPERPOSITION OF CONTACT DISCONTINUITY AND SHOCK WAVE FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY
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
	Hong Hakho 1; Huang Feimin2
	2012
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	32 期号:1 页码:389-412
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.
其他摘要	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.
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
收录类别	CSCD
语种	英语
资助项目	[NSFC] ; [CAS-TWAS] ; [AMSS in Chinese Academy of Sciences]
CSCD记录号	CSCD:4458258
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55670
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.