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

Authors

Chunshan Zhao, Georgia Southern UniversityFollow
Yinnian He, Xi'an Jiaotong University

Document Type

Article

Publication Date

2007

Publication Title

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

ISSN

1918-2538

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 Lⁿ 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.

Recommended Citation

Zhao, Chunshan, Yinnian He. 2007. "Global L^N Strong Solutions to the Magneto-Hydro-Dynamics Equations in the R^N Space." Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 14 (6A): 805-835. source: http://online.watsci.org/contents2007/v14n6a.html
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/687