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Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources

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  • Wang Zejia
  • Wang Shunti
  • Zhang Chengbin

Abstract

This paper is concerning the asymptotic behavior of solutions to the fast diffusive non-Newtonian filtration equations coupled by the nonlinear boundary sources. We are interested in the critical global existence curve and the critical Fujita curve, which are used to describe the large-time behavior of solutions. It is shown that the above two critical curves are both the same for the multidimensional problem we considered.

Suggested Citation

  • Wang Zejia & Wang Shunti & Zhang Chengbin, 2013. "Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, April.
    • Handle: RePEc:hin:jnlaaa:898546
    DOI: 10.1155/2013/898546
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