Global LN Strong Solutions to the Magneto-Hydro-Dynamics Equations in the RN Space

Chunshan Zhao; Yinnian He

Global L^N Strong Solutions to the Magneto-Hydro-Dynamics Equations in the R^N Space

Chunshan Zhao, Yinnian He

Mathematical Sciences

Xi'an Jiaotong University

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

Abstract

We study the existence and uniqueness of global L ⁿ strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole R ⁿ 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 L ⁿ strong solution under some assumptions on both initial data and external force.

Original language	American English
Journal	Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis
Volume	14
State	Published - Jan 1 2007

Disciplines

Education
Mathematics

Keywords

Algebraic decay
Existence and uniqueness
MHD equations
Magneto-Hydro-Dynamics Equations
Strong solution

Access to Document

https://online.watsci.org/contents2007/v14n6a.html

Cite this

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title = "Global LN Strong Solutions to the Magneto-Hydro-Dynamics Equations in the RN Space",

abstract = " We study the existence and uniqueness of global L n strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole R n 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 L n strong solution under some assumptions on both initial data and external force.",

keywords = "Algebraic decay, Existence and uniqueness, MHD equations, Magneto-Hydro-Dynamics Equations, Strong solution",

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N2 - We study the existence and uniqueness of global L n strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole R n 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 L n strong solution under some assumptions on both initial data and external force.

AB - We study the existence and uniqueness of global L n strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole R n 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 L n strong solution under some assumptions on both initial data and external force.

KW - Algebraic decay

KW - Existence and uniqueness

KW - MHD equations

KW - Magneto-Hydro-Dynamics Equations

KW - Strong solution

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/687

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VL - 14

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

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

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