Incompressible inviscid limit for the full magnetohydrodynamic flows on expanding domains

Young-Sam Kwon

Applications of Mathematics (2020)

  • Volume: 65, Issue: 4, page 483-509
  • ISSN: 0862-7940

Abstract

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In this paper we study the incompressible inviscid limit of the full magnetohydrodynamic flows on expanding domains with general initial data. By applying the relative energy method and carrying out detailed analysis on the oscillation part of the velocity, we prove rigorously that the gradient part of the weak solutions of the full magnetohydrodynamic flows converges to the strong solution of the incompressible Euler system in the whole space, as the Mach number, viscosity as well as the heat conductivity go to zero and the domains expand to the whole space. Furthermore, we obtain the convergence rate.

How to cite

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Kwon, Young-Sam. "Incompressible inviscid limit for the full magnetohydrodynamic flows on expanding domains." Applications of Mathematics 65.4 (2020): 483-509. <http://eudml.org/doc/297025>.

@article{Kwon2020,
abstract = {In this paper we study the incompressible inviscid limit of the full magnetohydrodynamic flows on expanding domains with general initial data. By applying the relative energy method and carrying out detailed analysis on the oscillation part of the velocity, we prove rigorously that the gradient part of the weak solutions of the full magnetohydrodynamic flows converges to the strong solution of the incompressible Euler system in the whole space, as the Mach number, viscosity as well as the heat conductivity go to zero and the domains expand to the whole space. Furthermore, we obtain the convergence rate.},
author = {Kwon, Young-Sam},
journal = {Applications of Mathematics},
keywords = {full magnetohydrodynamic flows; inviscid limit; expanding domain; incompressible limit},
language = {eng},
number = {4},
pages = {483-509},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Incompressible inviscid limit for the full magnetohydrodynamic flows on expanding domains},
url = {http://eudml.org/doc/297025},
volume = {65},
year = {2020},
}

TY - JOUR
AU - Kwon, Young-Sam
TI - Incompressible inviscid limit for the full magnetohydrodynamic flows on expanding domains
JO - Applications of Mathematics
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 4
SP - 483
EP - 509
AB - In this paper we study the incompressible inviscid limit of the full magnetohydrodynamic flows on expanding domains with general initial data. By applying the relative energy method and carrying out detailed analysis on the oscillation part of the velocity, we prove rigorously that the gradient part of the weak solutions of the full magnetohydrodynamic flows converges to the strong solution of the incompressible Euler system in the whole space, as the Mach number, viscosity as well as the heat conductivity go to zero and the domains expand to the whole space. Furthermore, we obtain the convergence rate.
LA - eng
KW - full magnetohydrodynamic flows; inviscid limit; expanding domain; incompressible limit
UR - http://eudml.org/doc/297025
ER -

References

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