Lp Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations

Chaoshun Qu; Ping Wang

doi:10.1006/jmaa.1995.1085

L^p Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations

Chaoshun Qu
, Ping Wang

Penn State Schuylkill

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

4 Scopus citations

Abstract

The exponential stability of the solution of the Navier-Stokes equation in L^p, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite.

Original language	English (US)
Pages (from-to)	419-427
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	190
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1995.1085
State	Published - Mar 1 1995

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1006/jmaa.1995.1085

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title = "Lp Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations",

abstract = "The exponential stability of the solution of the Navier-Stokes equation in Lp, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite.",

author = "Chaoshun Qu and Ping Wang",

year = "1995",

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AU - Wang, Ping

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N2 - The exponential stability of the solution of the Navier-Stokes equation in Lp, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite.

AB - The exponential stability of the solution of the Navier-Stokes equation in Lp, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite.

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UR - https://www.scopus.com/pages/publications/0006849129#tab=citedBy

U2 - 10.1006/jmaa.1995.1085

DO - 10.1006/jmaa.1995.1085

M3 - Article

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SN - 0022-247X

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EP - 427

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

L^p Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations

Abstract

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