Abstract and Applied Analysis

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

Wang Zejia, Wang Shunti, and Zhang Chengbin

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 898546, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511847

Digital Object Identifier
doi:10.1155/2013/898546

Mathematical Reviews number (MathSciNet)
MR3045035

Zentralblatt MATH identifier
1275.35043

Citation

Zejia, Wang; Shunti, Wang; Chengbin, Zhang. Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources. Abstr. Appl. Anal. 2013 (2013), Article ID 898546, 6 pages. doi:10.1155/2013/898546. https://projecteuclid.org/euclid.aaa/1393511847


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