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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Zhou, Jun 2016. Global existence and blow-up of solutions for a Non-Newton polytropic filtration system with special volumetric moisture content. Computers & Mathematics with Applications, Vol. 71, Issue. 5, p. 1163.


    Wang, Jian 2015. Critical Exponents in a Doubly Degenerate Nonlinear Parabolic System with Inner Absorptions. Bulletin of the Malaysian Mathematical Sciences Society, Vol. 38, Issue. 2, p. 415.


    Wu, Xiulan and Gao, Wenjie 2014. Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions. Mathematical Methods in the Applied Sciences, Vol. 37, Issue. 4, p. 551.


    Wang, Jian 2011. Global existence and blow-up solutions for doubly degenerate parabolic system with nonlocal source. Journal of Mathematical Analysis and Applications, Vol. 374, Issue. 1, p. 290.


    Zhang, Yan Liu, Dengming Mu, Chunlai and Zheng, Pan 2011. Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions. Boundary Value Problems, Vol. 2011, Issue. 1, p. 29.


    Zhou, Jun and Mu, Chunlai 2008. BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR NONLOCAL SOURCE. Communications of the Korean Mathematical Society, Vol. 23, Issue. 4, p. 529.


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GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE

  • JUN ZHOU (a1) and CHUNLAI MU (a1)
  • DOI: http://dx.doi.org/10.1017/S1446181108000242
  • Published online: 01 July 2008
Abstract
Abstract

This paper deals the global existence and blow-up properties of the following non-Newton polytropic filtration system with nonlocal source, Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time depending on the initial data and the relations between αβ and mn(p−1)(q−1). In the special case, α=n(q−1), β=m(p−1), we also give a criteria for the solution to exist globally or blow up in finite time, which depends on a,b and ζ(x),ϑ(x) as defined in our main results.

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For correspondence; e-mail: zhoujun_math@hotmail.com
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