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

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

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

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.
- Nishida's model,
- 3-dimension,
- weighted energy estimate,
- large time behavior
Citation: Shijin Deng. Large time behavior for the IBVP of the 3-D Nishida's model[J]. Networks and Heterogeneous Media, 2010, 5(1): 133-142. doi: 10.3934/nhm.2010.5.133

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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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