Dissipative measure valued solutions for general conservation laws

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524147" target="_blank" >RIV/67985840:_____/20:00524147 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.anihpc.2019.11.001" target="_blank" >https://doi.org/10.1016/j.anihpc.2019.11.001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.anihpc.2019.11.001" target="_blank" >10.1016/j.anihpc.2019.11.001</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dissipative measure valued solutions for general conservation laws

Popis výsledku v původním jazyce

In the last years measure-valued solutions started to be considered as a relevant notion of solutions if they satisfy the so-called measure-valued – strong uniqueness principle. This means that they coincide with a strong solution emanating from the same initial data if this strong solution exists. This property has been examined for many systems of mathematical physics, including incompressible and compressible Euler system, compressible Navier-Stokes system et al. and there are also some results concerning general hyperbolic systems. Our goal is to provide a unified framework for general systems, that would cover the most interesting cases of systems, and most importantly, we give examples of equations, for which the aspect of measure-valued – strong uniqueness has not been considered before, like incompressible magnetohydrodynamics and shallow water magnetohydrodynamics.

Název v anglickém jazyce

Dissipative measure valued solutions for general conservation laws

Popis výsledku anglicky

In the last years measure-valued solutions started to be considered as a relevant notion of solutions if they satisfy the so-called measure-valued – strong uniqueness principle. This means that they coincide with a strong solution emanating from the same initial data if this strong solution exists. This property has been examined for many systems of mathematical physics, including incompressible and compressible Euler system, compressible Navier-Stokes system et al. and there are also some results concerning general hyperbolic systems. Our goal is to provide a unified framework for general systems, that would cover the most interesting cases of systems, and most importantly, we give examples of equations, for which the aspect of measure-valued – strong uniqueness has not been considered before, like incompressible magnetohydrodynamics and shallow water magnetohydrodynamics.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annales de l'Institut Henri Poincaré. Analyse non Linéaire

ISSN

0294-1449

e-ISSN

—

Svazek periodika

37

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

683-707

Kód UT WoS článku

000531049800008

EID výsledku v databázi Scopus

2-s2.0-85084182151