BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR NONLOCAL SOURCE

Title & Authors
BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR NONLOCAL SOURCE
Zhou, Jun; Mu, Chunlai;

Abstract
This paper deals the global existence and blow-up properties of the following non-Newton polytropic filtration system, $${u_t}-{\triangle}_{m,p}u Keywords non-Newtonian polytropic system;nonlocal source;global existence;blow-up; Language English Cited by 1. LOCAL AND GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR MEMORY AND NONLINEAR BOUNDARY CONDITIONS,;;; 대한수학회보, 2013. vol.50. 1, pp.37-56 1. LOCAL AND GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR MEMORY AND NONLINEAR BOUNDARY CONDITIONS, Bulletin of the Korean Mathematical Society, 2013, 50, 1, 37 2. Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions, Boundary Value Problems, 2011, 2011, 1, 29 References 1. J. R. Anderson and K. Deng, Global existence for degenerate parabolic equations with a non-local forcing, Math. Anal. Methods Appl. Sci. 20 (1997), 1069-1087 2. M. F. Bidanut-Veon and M. 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