Global solutions to 3D incompressible rotational MHD system

Jaewook Ahn; Junha Kim; Jihoon Lee

doi:10.1007/s00028-020-00576-z

Global solutions to 3D incompressible rotational MHD system

Jaewook Ahn
, Junha Kim
, Jihoon Lee

Department of Mathematics

Chung-Ang University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This study investigates the Cauchy problem of an incompressible magnetohydrodynamic system in the rotational framework. Under the assumption that the rotation speed is sufficiently large, the Cauchy problem is shown to be globally well-posed in H^s(R³) × (L²∩ L^q) (R³) for 12<s<34 and 3<q<min{63-2s,276+4s}.

Original language	English
Pages (from-to)	235-246
Number of pages	12
Journal	Journal of Evolution Equations
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s00028-020-00576-z
State	Published - Mar 2021

Keywords

Coriolis effect
Magnetohydrodynamics
Well-posedness

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10.1007/s00028-020-00576-z

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title = "Global solutions to 3D incompressible rotational MHD system",

abstract = "This study investigates the Cauchy problem of an incompressible magnetohydrodynamic system in the rotational framework. Under the assumption that the rotation speed is sufficiently large, the Cauchy problem is shown to be globally well-posed in Hs(R3) × (L2∩ Lq) (R3) for 12",

keywords = "Coriolis effect, Magnetohydrodynamics, Well-posedness",

author = "Jaewook Ahn and Junha Kim and Jihoon Lee",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2021",

month = mar,

doi = "10.1007/s00028-020-00576-z",

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T1 - Global solutions to 3D incompressible rotational MHD system

AU - Ahn, Jaewook

AU - Kim, Junha

AU - Lee, Jihoon

PY - 2021/3

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N2 - This study investigates the Cauchy problem of an incompressible magnetohydrodynamic system in the rotational framework. Under the assumption that the rotation speed is sufficiently large, the Cauchy problem is shown to be globally well-posed in Hs(R3) × (L2∩ Lq) (R3) for 12

AB - This study investigates the Cauchy problem of an incompressible magnetohydrodynamic system in the rotational framework. Under the assumption that the rotation speed is sufficiently large, the Cauchy problem is shown to be globally well-posed in Hs(R3) × (L2∩ Lq) (R3) for 12

KW - Coriolis effect

KW - Magnetohydrodynamics

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85084071975

U2 - 10.1007/s00028-020-00576-z

DO - 10.1007/s00028-020-00576-z

M3 - Article

AN - SCOPUS:85084071975

SN - 1424-3199

VL - 21

SP - 235

EP - 246

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 1

ER -

Global solutions to 3D incompressible rotational MHD system

Abstract

Keywords

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