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March  2010, 5(1): 133-142. doi: 10.3934/nhm.2010.5.133

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  February 2010

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.
Keywords: 3-dimension, Nishida's model, large time behavior., weighted energy estimate.
Mathematics Subject Classification: Primary: 82C4.
Citation: Shijin Deng. Large time behavior for the IBVP of the 3-D Nishida's model. Networks & Heterogeneous Media, 2010, 5 (1) : 133-142. doi: 10.3934/nhm.2010.5.133
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