Acta mathematica scientia, Series B >
GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
Received date: 2010-07-02
Online published: 2011-03-20
Supported by
This work is supported in part by NSF of China (11071266), in part by NSF project of CQ CSTC (2010BB9218), and partially supported by the Educational Science Foundation of Chongqing (KJ101303) China.
This article 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 and the critical Fujita curve for the problem. Especially for the blow-up case, it is rather technical. It comes from the construction of the so-called Zel'dovich-Kompaneetz-Barenblatt profile.
CHEN Bo-Tao , MI Yong-Sheng , MU Chun-Lai . GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 681 -693 . DOI: 10.1016/S0252-9602(11)60268-3
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