On weak (measure-valued)-strong uniqueness for compressible Navier-stokes system with non-monotone pressure law
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Published version
Author(s)
Chaudhuri, Nilasis
Type
Journal Article
Abstract
In this paper our goal is to define a renormalized dissipative measure-valued (rDMV) solution of compressible Navier–Stokes system for fluids with non-monotone pressure–density relation. We prove existence of rDMV solutions and establish a suitable relative energy inequality. Moreover we obtain the weak (measure-valued)–strong uniqueness property of this rDMV solution with the help of relative energy inequality.
Date Issued
2020-02-24
Date Acceptance
2019-10-19
Citation
Journal of Mathematical Fluid Mechanics, 2020, 22 (2), pp.1-13
ISSN
1422-6928
Publisher
Springer
Start Page
1
End Page
13
Journal / Book Title
Journal of Mathematical Fluid Mechanics
Volume
22
Issue
2
Copyright Statement
© 2020 The Author(s), corrected publication 2021. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000519941300003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Technology
Mathematics, Applied
Mechanics
Physics, Fluids & Plasmas
Mathematics
Physics
Compressible Navier-Stokes system
Measure-valued solution
Weak-strong uniqueness
Non-monotone pressure
MEASURE-VALUED SOLUTIONS
EQUATIONS
Publication Status
Published
Article Number
ARTN 17
Date Publish Online
2020-02-24