Non-simultaneous blow-up in a semilinear parabolic system

In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, ut = Δu + up11 vp12, vt = Δv + up21 vp22. Under adequate hypotheses, we prove that if u blows up then v can fail to blow up if and only if p11 &gt...

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Detalles Bibliográficos
Autores principales: Quirós, F., Rossi, J.D.
Formato: JOUR
Materias:
Blow-up
Semilinear parabolic system
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00442275_v52_n2_p342_Quiros
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, ut = Δu + up11 vp12, vt = Δv + up21 vp22. Under adequate hypotheses, we prove that if u blows up then v can fail to blow up if and only if p11 > 1 and p21 < P11 - 1.

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