This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution, and when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.

Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions

Marras, M;Piro Vernier, S
2017

Abstract

This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution, and when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.
blow-up; global existence; nonlinear parabolic systems; Analysis; Algebra and Number Theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/195315
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