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June 2005 An Entropy Dissipation-Entropy Estimate for a Thin Film Type Equation
E. A. Carlen, S. Ulusoy
Commun. Math. Sci. 3(2): 171-178 (June 2005).

Abstract

We prove a lower bound on the rate of realaxation to equililbrium in the H1 norm for a thin film equation. We find a two stagerelaxation, with power law decay in an initial interval followed byexponential decay, at an essentially optimal rate, for large times. The waiting time until the expoential decay sets in is explicitly estimated.

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E. A. Carlen. S. Ulusoy. "An Entropy Dissipation-Entropy Estimate for a Thin Film Type Equation." Commun. Math. Sci. 3 (2) 171 - 178, June 2005.

Information

Published: June 2005
First available in Project Euclid: 14 June 2005

zbMATH: 1101.35063
MathSciNet: MR2164196

Rights: Copyright © 2005 International Press of Boston

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Vol.3 • No. 2 • June 2005
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