Asymptotic Behavior Of Weak And Strong Solutions Of The Magnetohydrodynamic Equations

José Luiz Boldrini; Jonathan Bravo-Olivares; Eduardo Notte-Cuello; Marko A. Rojas-Medar

doi:10.3934/era.2020091

Asymptotic Behavior Of Weak And Strong Solutions Of The Magnetohydrodynamic Equations

José Luiz Boldrini
, Jonathan Bravo-Olivares
, Eduardo Notte-Cuello
, Marko A. Rojas-Medar

Department of Mathematics

Universidade Estadual de Campinas
Universidad de La Serena

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

Abstract

We prove some results on the stability of slow stationary solutions of the MHD equations in two and three-dimensional bounded domains for external force fields that are asymptotically autonomous. Our results show that weak solutions are asymptotically stable in time in the L²-norm.

Original language	English
Pages (from-to)	1783-1801
Number of pages	19
Journal	Electronic Research Archive
Volume	29
Issue number	1
DOIs	https://doi.org/10.3934/era.2020091
State	Published - Mar 2021

Keywords

Magnetohydrodynamics equation
evolution solution
stability
stationary solution
weak and strong solutions

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title = "Asymptotic Behavior Of Weak And Strong Solutions Of The Magnetohydrodynamic Equations",

abstract = "We prove some results on the stability of slow stationary solutions of the MHD equations in two and three-dimensional bounded domains for external force fields that are asymptotically autonomous. Our results show that weak solutions are asymptotically stable in time in the L2-norm.",

keywords = "Magnetohydrodynamics equation, evolution solution, stability, stationary solution, weak and strong solutions",

author = "Boldrini, \{Jos{\'e} Luiz\} and Jonathan Bravo-Olivares and Eduardo Notte-Cuello and Rojas-Medar, \{Marko A.\}",

year = "2021",

month = mar,

doi = "10.3934/era.2020091",

language = "English",

volume = "29",

pages = "1783--1801",

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AU - Boldrini, José Luiz

AU - Bravo-Olivares, Jonathan

AU - Notte-Cuello, Eduardo

AU - Rojas-Medar, Marko A.

PY - 2021/3

Y1 - 2021/3

N2 - We prove some results on the stability of slow stationary solutions of the MHD equations in two and three-dimensional bounded domains for external force fields that are asymptotically autonomous. Our results show that weak solutions are asymptotically stable in time in the L2-norm.

AB - We prove some results on the stability of slow stationary solutions of the MHD equations in two and three-dimensional bounded domains for external force fields that are asymptotically autonomous. Our results show that weak solutions are asymptotically stable in time in the L2-norm.

KW - Magnetohydrodynamics equation

KW - evolution solution

KW - stability

KW - stationary solution

KW - weak and strong solutions

UR - https://www.scopus.com/pages/publications/85120032923

U2 - 10.3934/era.2020091

DO - 10.3934/era.2020091

M3 - Article

AN - SCOPUS:85120032923

SN - 2688-1594

VL - 29

SP - 1783

EP - 1801

JO - Electronic Research Archive

JF - Electronic Research Archive

IS - 1

ER -

Asymptotic Behavior Of Weak And Strong Solutions Of The Magnetohydrodynamic Equations

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Keywords

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