Description

• Title:
  Relative entropy method for measure-valued solutions in natural sciences
• Creator:
  Dębiec, Tomasz;
  Gwiazda, Piotr;
  Łyczek, Kamila;
  Świerczewska-Gwiazda, Agnieszka
• Description:
  We describe the applications of the relative entropy framework introduced in \cite{Daf}. In particular the uniqueness of an entropy solution is proven for a scalar conservation law, using the notion of measure-valued entropy solutions. Further we survey recent results concerning measure-valued-strong uniqueness for a number of physical systems -- incompressible and compressible Euler equations, compressible Navier-Stokes, polyconvex elastodynamics and general hyperbolic conservation laws, as well as long-time asymptotics of the McKendrick-Von Foerster equation.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.08.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 1 (September 2018); 311 - 335;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.027/15380 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.027/15381
• Subject:
  Measure-valued solution;
  weak-strong uniqueness;
  scalar conservation laws;
  35Q35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.027
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other