The Lr Exponential Stability of the Steady-State Solution to a Magnetohydrodynamic Evolution Equation Describe the Geophysical Flow

Chunshan Zhao; Kaitai Li

doi:10.3321/j.issn:0254-3079.2002.04.003

The Lr Exponential Stability of the Steady-State Solution to a Magnetohydrodynamic Evolution Equation Describe the Geophysical Flow

Chunshan Zhao
, Kaitai Li

Mathematical Sciences

Xi'an Jiaotong University

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

Abstract

This paper proves the existence and uniqueness of the steady-state solution of the magnetic fluid type development equation describing the geophysical flow in the bounded region of Rn(n=2,3). Under the appropriate conditions of the external force, it proves that any unsteady The bounded solution of Lr(r≥2) tends to steady-state solution exponential power when t→∞.

Original language	American English
Journal	Acta Mathematicae Applicatae Sinica
Volume	25
DOIs	https://doi.org/10.3321/j.issn:0254-3079.2002.04.003
State	Published - 2002

Disciplines

Mathematics

Keywords

Existence
Index stability
Steady-state solution
Uniqueness

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10.3321/j.issn:0254-3079.2002.04.003License: Unspecified

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abstract = " This paper proves the existence and uniqueness of the steady-state solution of the magnetic fluid type development equation describing the geophysical flow in the bounded region of Rn(n=2,3). Under the appropriate conditions of the external force, it proves that any unsteady The bounded solution of Lr(r≥2) tends to steady-state solution exponential power when t→∞. ",

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AU - Li, Kaitai

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Y1 - 2002

N2 - This paper proves the existence and uniqueness of the steady-state solution of the magnetic fluid type development equation describing the geophysical flow in the bounded region of Rn(n=2,3). Under the appropriate conditions of the external force, it proves that any unsteady The bounded solution of Lr(r≥2) tends to steady-state solution exponential power when t→∞.

AB - This paper proves the existence and uniqueness of the steady-state solution of the magnetic fluid type development equation describing the geophysical flow in the bounded region of Rn(n=2,3). Under the appropriate conditions of the external force, it proves that any unsteady The bounded solution of Lr(r≥2) tends to steady-state solution exponential power when t→∞.

KW - Existence

KW - Index stability

KW - Steady-state solution

KW - Uniqueness

UR - https://doi.org/10.3321/j.issn:0254-3079.2002.04.003

U2 - 10.3321/j.issn:0254-3079.2002.04.003

DO - 10.3321/j.issn:0254-3079.2002.04.003

M3 - Article

SN - 0168-9673

VL - 25

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

ER -

The Lr Exponential Stability of the Steady-State Solution to a Magnetohydrodynamic Evolution Equation Describe the Geophysical Flow

Abstract

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Keywords

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