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

  • Received: 01 September 2009 Revised: 01 October 2009
  • Primary: 82C40.

  • 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.

    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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  • 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.


  • This article has been cited by:

    1. Shijin Deng, Initial–boundary value problem for p-system with damping in half space, 2016, 143, 0362546X, 193, 10.1016/j.na.2016.05.009
    2. Shijin Deng, Weike Wang, Half space problem for Euler equations with damping in 3-D, 2017, 263, 00220396, 7372, 10.1016/j.jde.2017.08.013
    3. Shijin Deng, Half space problem of the system of compressible adiabatic flow through porous media in multi-D, 2020, 490, 0022247X, 124234, 10.1016/j.jmaa.2020.124234
    4. Qin Ye, Yinghui Zhang, Space–Time Decay Rate of the Compressible Adiabatic Flow Through Porous Media in R3, 2023, 46, 0126-6705, 10.1007/s40840-023-01529-8
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  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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