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

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

5 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	American English
Journal	Journal of Dynamics and Differential Equations
Volume	18
DOIs	https://doi.org/10.1007/s10884-006-9012-7
State	Published - Apr 1 2006

Disciplines

Education
Mathematics

Keywords

Cauchy Problem
Decay Property
Evolutionary System of MHD Type
Existence and Uniqueness
Strong Solution

Access to Document

10.1007/s10884-006-9012-7License: Unspecified

https://doi.org/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",

month = apr,

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doi = "10.1007/s10884-006-9012-7",

language = "American English",

volume = "18",

journal = "Journal of Dynamics and Differential Equations",

issn = "1040-7294",

publisher = "Springer New York",

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TY - JOUR

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 - 2006/4/1

Y1 - 2006/4/1

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://digitalcommons.georgiasouthern.edu/math-sci-facpubs/688

UR - https://doi.org/10.1007/s10884-006-9012-7

U2 - 10.1007/s10884-006-9012-7

DO - 10.1007/s10884-006-9012-7

M3 - Article

SN - 1040-7294

VL - 18

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

ER -