A regularity criterion for the 2D MHD and viscoelastic fluid equations
Annales Polonici Mathematici (2015)
- Volume: 114, Issue: 2, page 123-131
- ISSN: 0066-2216
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topZhuan Ye. "A regularity criterion for the 2D MHD and viscoelastic fluid equations." Annales Polonici Mathematici 114.2 (2015): 123-131. <http://eudml.org/doc/280937>.
@article{ZhuanYe2015,
abstract = {This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies
$∇B, ∇F ∈ L^\{q\}(0,T;L^\{p\}(ℝ²))$
for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.},
author = {Zhuan Ye},
journal = {Annales Polonici Mathematici},
keywords = {MHD equations; viscoelastic equations; regularity criterion},
language = {eng},
number = {2},
pages = {123-131},
title = {A regularity criterion for the 2D MHD and viscoelastic fluid equations},
url = {http://eudml.org/doc/280937},
volume = {114},
year = {2015},
}
TY - JOUR
AU - Zhuan Ye
TI - A regularity criterion for the 2D MHD and viscoelastic fluid equations
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 2
SP - 123
EP - 131
AB - This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies
$∇B, ∇F ∈ L^{q}(0,T;L^{p}(ℝ²))$
for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.
LA - eng
KW - MHD equations; viscoelastic equations; regularity criterion
UR - http://eudml.org/doc/280937
ER -
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