Non-simultaneous blow-up for a semilinear parabolic system with localized reaction terms
نویسندگان
چکیده
منابع مشابه
Non–simultaneous Blow–up for a Semilinear Parabolic System with Localized Reaction Terms
In this paper, we study positive blow-up solutions of the semilinear parabolic system with localized reactions ut = Δu+ vr + up(0,t), vt = Δv + us + vq(0,t) in the ball B = {x ∈ R N : |x| < R} , under the homogeneous Dirichlet boundary condition. It is shown that nonsimultaneous blow-up may occur according to the value of p , q , r , and s ( p,q,r,s > 1). We also investigate blow-up rates of al...
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2012
ISSN: 1847-120X
DOI: 10.7153/dea-04-19