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Limit of a consistent approximation to the complete compressible Euler system

Authors
  • Chaudhuri, Nilasis
Publication Date
Nov 12, 2021
Identifiers
DOI: 10.14279/depositonce-12650
OAI: oai:depositonce.tu-berlin.de:11303/13877
Source
DepositOnce
Keywords
Language
English
License
Green
External links

Abstract

The goal of the present paper is to prove that if a weak limit of a consistent approximation scheme of the compressible complete Euler system in full space Rd,d=2,3 is a weak solution of the system, then the approximate solutions eventually converge strongly in suitable norms locally under a minimal assumption on the initial data of the approximate solutions. The class of consistent approximate solutions is quite general and includes the vanishing viscosity and heat conductivity limit. In particular, they may not satisfy the minimal principle for entropy. / TU Berlin, Open-Access-Mittel – 2021

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