Blowup for a time-oscillating nonlinear heat equation

In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according to both the frequency of the oscillating factor and the size of the initial...

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Detalles Bibliográficos
Autores: Cazenave, T., Escobedo, M., Zuazua, E.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/490
Acceso en línea:http://hdl.handle.net/20.500.11824/490
Access Level:acceso abierto
Palabra clave:Finite-time blowup
Semilinear heat equation
Time-oscillating nonlinearity
Descripción
Sumario:In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according to both the frequency of the oscillating factor and the size of the initial value.