CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX

Title & Authors
CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
Mi, Yongsheng; Mu, Chunlai; Chen, Botao;

Abstract
The paper deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical Fujita curve is conjectured with the aid of some new results.
Keywords
critical global existence curve;degenerate parabolic systems;critical Fujita curve;nonlinear boundary flux;blow-up;
Language
English
Cited by
1.
GLOBAL EXISTENCE AND BLOW-UP FOR A DOUBLY DEGENERATE PARABOLIC EQUATION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS, Glasgow Mathematical Journal, 2012, 54, 02, 309
2.
A nonlinear diffusion system coupled via nonlinear boundary flux, Journal of Mathematical Analysis and Applications, 2011, 376, 2, 613
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