Large time behavior for the IBVP of the 3-D Nishida's model

Shijin Deng

doi:10.3934/nhm.2010.5.133

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2010, Volume 5, Issue 1: 133-142. Doi: 10.3934/nhm.2010.5.133

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Large time behavior for the IBVP of the 3-D Nishida's model

Shijin Deng^1,

1.
Department of Mathematics, Shanghai Jiao Tong University, 800 Dong Chuan Road, 200240, Shanghai

Received: September 2009

Revised: October 2009

Published: March 2010

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Abstract

In this paper we investigate an initial boundary value problem (IBVP) for the Nishda's model in 3-dimensional space with a forward moving physical boundary. It is shown that the solution converges to zero with an exponential rate by energy estimates.

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Mathematics Subject Classification: Primary: 82C40.

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