Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System

doi:10.1007/s00220-021-04100-3

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	Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System
	Kang, Moon-Jin 1; Vasseur, Alexis F.2; Wang, Yi3,4
	2021-05-08
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
页码	32
摘要	We prove the stability of a planar contact discontinuity without shear, a family of special discontinuous solutions for the three-dimensional full Euler system, in the class of vanishing dissipation limits of the corresponding Navier-Stokes-Fourier system. We also show that solutions of the Navier-Stokes-Fourier system converge to the planar contact discontinuity when the initial datum converges to the contact discontinuity itself. This implies the uniqueness of the planar contact discontinuity in the class that we are considering. Our results give an answer to the open question, whether the planar contact discontinuity is unique for the multi-D compressible Euler system. Our proof is based on the relative entropy method, together with the theory of a-contraction up to a shift and our new observations on the planar contact discontinuity.
DOI	10.1007/s00220-021-04100-3
收录类别	SCI
语种	英语
资助项目	NSF[DMS 1614918] ; NSFC[12090014] ; NSFC[11688101] ; [NRF-2019R1C1C1009355]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000648383500002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58690
专题	应用数学研究所
通讯作者	Kang, Moon-Jin
作者单位	1.Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea 2.Univ Texas Austin, Dept Math, Austin, TX 78712 USA 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Kang, Moon-Jin,Vasseur, Alexis F.,Wang, Yi. Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2021:32.
APA	Kang, Moon-Jin,Vasseur, Alexis F.,&Wang, Yi.(2021).Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System.COMMUNICATIONS IN MATHEMATICAL PHYSICS,32.
MLA	Kang, Moon-Jin,et al."Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021):32.