On weak-strong uniqueness property for full compressible magnetohydrodynamics flows

Weiping Yan

Open Mathematics (2013)

  • Volume: 11, Issue: 11, page 2005-2019
  • ISSN: 2391-5455

Abstract

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This paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists.

How to cite

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Weiping Yan. "On weak-strong uniqueness property for full compressible magnetohydrodynamics flows." Open Mathematics 11.11 (2013): 2005-2019. <http://eudml.org/doc/268962>.

@article{WeipingYan2013,
abstract = {This paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists.},
author = {Weiping Yan},
journal = {Open Mathematics},
keywords = {Magnetohydrodynamic flows; Weak solution; Strong solution; Entropy; magnetohydrodynamic flows; weak solution; strong solution; entropy},
language = {eng},
number = {11},
pages = {2005-2019},
title = {On weak-strong uniqueness property for full compressible magnetohydrodynamics flows},
url = {http://eudml.org/doc/268962},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Weiping Yan
TI - On weak-strong uniqueness property for full compressible magnetohydrodynamics flows
JO - Open Mathematics
PY - 2013
VL - 11
IS - 11
SP - 2005
EP - 2019
AB - This paper is devoted to the study of the weak-strong uniqueness property for full compressible magnetohydrodynamics flows. The governing equations for magnetohydrodynamic flows are expressed by the full Navier-Stokes system for compressible fluids enhanced by forces due to the presence of the magnetic field as well as the gravity and an additional equation which describes the evolution of the magnetic field. Using the relative entropy inequality, we prove that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists.
LA - eng
KW - Magnetohydrodynamic flows; Weak solution; Strong solution; Entropy; magnetohydrodynamic flows; weak solution; strong solution; entropy
UR - http://eudml.org/doc/268962
ER -

References

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