TY - JOUR
T1 - Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
AU - Fefferman, Charles L.
AU - McCormick, David S.
AU - Robinson, James C.
AU - Rodrigo, Jose L.
PY - 2014/8/15
Y1 - 2014/8/15
N2 - This paper establishes the local-in-time existence and uniqueness of strong solutions in Hs for s>n/2 to the viscous, non-resistive magnetohydrodynamics (MHD) equations in Rn, n=2, 3, as well as for a related model where the advection terms are removed from the velocity equation. The uniform bounds required for proving existence are established by means of a new estimate, which is a partial generalisation of the commutator estimate of Kato and Ponce (1988) [13].
AB - This paper establishes the local-in-time existence and uniqueness of strong solutions in Hs for s>n/2 to the viscous, non-resistive magnetohydrodynamics (MHD) equations in Rn, n=2, 3, as well as for a related model where the advection terms are removed from the velocity equation. The uniform bounds required for proving existence are established by means of a new estimate, which is a partial generalisation of the commutator estimate of Kato and Ponce (1988) [13].
KW - Commutator estimates
KW - MHD
KW - Magnetohydrodynamics
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U2 - 10.1016/j.jfa.2014.03.021
DO - 10.1016/j.jfa.2014.03.021
M3 - Article
AN - SCOPUS:84902550185
SN - 0022-1236
VL - 267
SP - 1035
EP - 1056
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 4
ER -