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

Chaoshun Qu, Ping Wang

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)419-427
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume190
Issue number2
DOIs
StatePublished - Mar 1 1995

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Equilibrium Solution
Exponential Stability
Asymptotic stability
Navier Stokes equations
Navier-Stokes Equations
Bounded Solutions
Stationary Solutions
Bounded Domain
Initial conditions
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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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.",
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}

Lp Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations. / Qu, Chaoshun; Wang, Ping.

In: Journal of Mathematical Analysis and Applications, Vol. 190, No. 2, 01.03.1995, p. 419-427.

Research output: Contribution to journalArticle

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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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