The Cauchy problem for the magneto-hydrodynamic system

Marco Cannone, et al. "The Cauchy problem for the magneto-hydrodynamic system." Banach Center Publications 74.1 (2006): 59-93. <http://eudml.org/doc/281693>.

@article{MarcoCannone2006,
abstract = {We study the uniqueness and regularity of Leray-Hopf's weak solutions for the MHD equations with dissipation and resistance in different frameworks. Using different kinds of space-time estimates in conjunction with the Littlewood-Paley-Bony decomposition, we present some general criteria of uniqueness and regularity of weak solutions to the MHD system, and prove the uniqueness and regularity criterion in the framework of mixed space-time Besov spaces by applying Tao's trichotomy method.},
author = {Marco Cannone, Changxing Miao, Nicolas Prioux, Baoquan Yuan},
journal = {Banach Center Publications},
keywords = {uniqueness; regularity; Leray-Hopf weak solutions; Tao's trichotomy decomposition},
language = {eng},
number = {1},
pages = {59-93},
title = {The Cauchy problem for the magneto-hydrodynamic system},
url = {http://eudml.org/doc/281693},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Marco Cannone
AU - Changxing Miao
AU - Nicolas Prioux
AU - Baoquan Yuan
TI - The Cauchy problem for the magneto-hydrodynamic system
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 59
EP - 93
AB - We study the uniqueness and regularity of Leray-Hopf's weak solutions for the MHD equations with dissipation and resistance in different frameworks. Using different kinds of space-time estimates in conjunction with the Littlewood-Paley-Bony decomposition, we present some general criteria of uniqueness and regularity of weak solutions to the MHD system, and prove the uniqueness and regularity criterion in the framework of mixed space-time Besov spaces by applying Tao's trichotomy method.
LA - eng
KW - uniqueness; regularity; Leray-Hopf weak solutions; Tao's trichotomy decomposition
UR - http://eudml.org/doc/281693
ER -