Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in ℝ3

Yi Li; Chunshan Zhao

doi:10.1007/s10884-006-9012-7

Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in ℝ³

Yi Li
, Chunshan Zhao

Mathematical Sciences

University of Iowa
Hunan Normal University

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

6 Scopus citations

Abstract

Existence and uniqueness of local strong solutions and small global strong solutions of an evolutionary system of magnetohydrodynamics type in the whole ℝ³ space will be proved in this paper. Moreover, some decay properties of the strong solutions will also be presented.

Original language	English
Pages (from-to)	393-426
Number of pages	34
Journal	Journal of Dynamics and Differential Equations
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/s10884-006-9012-7
State	Published - Apr 2006

Scopus Subject Areas

Analysis

Keywords

Cauchy problem
Decay property
Evolutionary System of MHD type
Existence and uniqueness
Strong Solution

Access to Document

10.1007/s10884-006-9012-7

Cite this

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title = "Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in ℝ3",

abstract = "Existence and uniqueness of local strong solutions and small global strong solutions of an evolutionary system of magnetohydrodynamics type in the whole ℝ3 space will be proved in this paper. Moreover, some decay properties of the strong solutions will also be presented.",

keywords = "Cauchy problem, Decay property, Evolutionary System of MHD type, Existence and uniqueness, Strong Solution",

author = "Yi Li and Chunshan Zhao",

year = "2006",

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language = "English",

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T1 - Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in ℝ3

AU - Li, Yi

AU - Zhao, Chunshan

PY - 2006/4

Y1 - 2006/4

N2 - Existence and uniqueness of local strong solutions and small global strong solutions of an evolutionary system of magnetohydrodynamics type in the whole ℝ3 space will be proved in this paper. Moreover, some decay properties of the strong solutions will also be presented.

AB - Existence and uniqueness of local strong solutions and small global strong solutions of an evolutionary system of magnetohydrodynamics type in the whole ℝ3 space will be proved in this paper. Moreover, some decay properties of the strong solutions will also be presented.

KW - Cauchy problem

KW - Decay property

KW - Evolutionary System of MHD type

KW - Existence and uniqueness

KW - Strong Solution

UR - https://www.scopus.com/pages/publications/33744725270

U2 - 10.1007/s10884-006-9012-7

DO - 10.1007/s10884-006-9012-7

M3 - Article

SN - 1040-7294

VL - 18

SP - 393

EP - 426

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

IS - 2

ER -