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

	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 4; Vasseur, Alexis F.3; Wang, Yi 1,2
刊名	COMMUNICATIONS IN MATHEMATICAL PHYSICS
	2021-05-08
页码	32
ISSN号	0010-3616
DOI	10.1007/s00220-021-04100-3
英文摘要	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.
资助项目	NSF[DMS 1614918] ; NSFC[12090014] ; NSFC[11688101] ; [NRF-2019R1C1C1009355]
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000648383500002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58689]
专题	中国科学院数学与系统科学研究院
通讯作者	Kang, Moon-Jin
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Univ Texas Austin, Dept Math, Austin, TX 78712 USA 4.Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea
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.