Global Ln strong solutions to magneto-hydro-dynamics equations in the ℝn space

Chunshan Zhao; Yinnian He

Global Lⁿ strong solutions to magneto-hydro-dynamics equations in the ℝⁿ space

Chunshan Zhao, Yinnian He

Mathematical Sciences

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

4 Scopus citations

Abstract

We study the existence and uniqueness of global Lⁿ strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole ℝⁿ space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global L ⁿ strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Lⁿ strong solution under some assumptions on both initial data and external force.

Original language	English
Pages (from-to)	805-835
Number of pages	31
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	14
Issue number	6
State	Published - Dec 2007

Keywords

Algebraic decay
Existence and uniqueness
MHD equations
Strong solution

Cite this

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abstract = "We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole ℝn space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global L n strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Ln strong solution under some assumptions on both initial data and external force.",

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author = "Chunshan Zhao and Yinnian He",

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AU - Zhao, Chunshan

AU - He, Yinnian

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N2 - We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole ℝn space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global L n strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Ln strong solution under some assumptions on both initial data and external force.

AB - We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole ℝn space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global L n strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Ln strong solution under some assumptions on both initial data and external force.

KW - Algebraic decay

KW - Existence and uniqueness

KW - MHD equations

KW - Strong solution

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AN - SCOPUS:37349022448

SN - 1201-3390

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JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 6

ER -

Global Lⁿ strong solutions to magneto-hydro-dynamics equations in the ℝⁿ space

Abstract

Keywords

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