Global regularity for the 3D MHD system with damping

Zujin Zhang, and Xian Yang. "Global regularity for the 3D MHD system with damping." Colloquium Mathematicae 145.1 (2016): 107-110. <http://eudml.org/doc/286475>.

@article{ZujinZhang2016,
abstract = {We study the Cauchy problem for the 3D MHD system with damping terms $ε|u|^\{α -1\}u$ and $δ|b|^\{β -1\}b$ (ε, δ > 0 and α, β ≥ 1), and show that the strong solution exists globally for any α, β > 3. This improves the previous results significantly.},
author = {Zujin Zhang, Xian Yang},
journal = {Colloquium Mathematicae},
keywords = {MHD equations; damping; strong solutions},
language = {eng},
number = {1},
pages = {107-110},
title = {Global regularity for the 3D MHD system with damping},
url = {http://eudml.org/doc/286475},
volume = {145},
year = {2016},
}

TY - JOUR
AU - Zujin Zhang
AU - Xian Yang
TI - Global regularity for the 3D MHD system with damping
JO - Colloquium Mathematicae
PY - 2016
VL - 145
IS - 1
SP - 107
EP - 110
AB - We study the Cauchy problem for the 3D MHD system with damping terms $ε|u|^{α -1}u$ and $δ|b|^{β -1}b$ (ε, δ > 0 and α, β ≥ 1), and show that the strong solution exists globally for any α, β > 3. This improves the previous results significantly.
LA - eng
KW - MHD equations; damping; strong solutions
UR - http://eudml.org/doc/286475
ER -