Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms

Zhuan Ye

Colloquium Mathematicae (2015)

  • Volume: 139, Issue: 2, page 185-203
  • ISSN: 0010-1354

Abstract

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We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.

How to cite

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Zhuan Ye. "Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms." Colloquium Mathematicae 139.2 (2015): 185-203. <http://eudml.org/doc/283615>.

@article{ZhuanYe2015,
abstract = {We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.},
author = {Zhuan Ye},
journal = {Colloquium Mathematicae},
keywords = {incompressible 3D MHD; nonlinear damping terms; global strong solutions; uniqueness; decay estimate},
language = {eng},
number = {2},
pages = {185-203},
title = {Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms},
url = {http://eudml.org/doc/283615},
volume = {139},
year = {2015},
}

TY - JOUR
AU - Zhuan Ye
TI - Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms
JO - Colloquium Mathematicae
PY - 2015
VL - 139
IS - 2
SP - 185
EP - 203
AB - We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.
LA - eng
KW - incompressible 3D MHD; nonlinear damping terms; global strong solutions; uniqueness; decay estimate
UR - http://eudml.org/doc/283615
ER -

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