Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition | Zendy

Burhan Selçuk | Zendy

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Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition

Author(s) -

Burhan Selçuk

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1502-20

Subject(s) - quenching (fluorescence) , reaction–diffusion system , mathematics , boundary (topology) , diffusion , mathematical analysis , derivative (finance) , upper and lower bounds , thermodynamics , physics , fluorescence , quantum mechanics , financial economics , economics

In this paper, we study the quenching behavior of the solution of a semilinear reaction-diffusion system with singular boundary condition. We first get a local exisence result. Then we prove that the solution quenches only on the right boundary in finite time and the time derivative blows up at the quenching time under certain conditions. Finally, we get lower bounds and upper bounds for quenching time.

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