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

DOI10.3906/mat-1502-20zbMath1424.35210OpenAlexW2264546422MaRDI QIDQ4633095

Burhan Selcuk

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1502-20

zbMATH Keywords

maximum principlesreaction-diffusion systemquenchingmonotone iterationssingular boundary condition

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

On the existence of weak solutions for a class of singular reaction diffusion systems ⋮ Adaptive high-order finite difference analysis of 2D quenching-type convection-reaction-diffusion equation

Cites Work

• Quenching for a reaction-diffusion system with logarithmic singularity
• Quasilinear parabolic and elliptic equations with nonlinear boundary conditions
• Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
• Non-simultaneous versus simultaneous quenching in a coupled nonlinear parabolic system
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Parabolic problems with nonlinear absorptions and releases at the boundaries
• Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions.
• On quenching with logarithmic singularity
• Quenching rates for heat equations with coupled singular nonlinear boundary flux
• Incomplete quenching of heat equations with absorption
• The quenching behavior of a semilinear heat equation with a singular boundary outflux
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