On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00517737" target="_blank" >RIV/67985840:_____/20:00517737 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1088/1361-6544/ab4c8e" target="_blank" >https://doi.org/10.1088/1361-6544/ab4c8e</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6544/ab4c8e" target="_blank" >10.1088/1361-6544/ab4c8e</a>

Result language

angličtina

Original language name

On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids

Original language description

We consider the motion of an inviscid compressible fluid under the mutual interactions with magnetic field. We show that the initial value problem is ill-posed in the class of weak solutions for a large class of physically admissible data. We also consider the same problem for inviscid heat-conductive fluid and show the same result under certain restrictions imposed on the magnetic field. The main tool is the method of convex integration adapted from the Euler system with 'variable coefficients'.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

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

Name of the periodical

Nonlinearity

ISSN

0951-7715

e-ISSN

—

Volume of the periodical

33

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

17

Pages from-to

139-155

UT code for WoS article

000499329800001

EID of the result in the Scopus database

2-s2.0-85081368343