COMPLETE BLOW-UP AND THERMAL AVALANCHE FOR HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
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Publication:4532834
DOI10.1081/PDE-120002792zbMath0996.35036OpenAlexW2007023692MaRDI QIDQ4532834
Fernando Quirós, Juan Luis Vazquez, Julio D. Rossi
Publication date: 2 November 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/pde-120002792
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)
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Localization on the Boundary of Blow-up for Reaction–Diffusion Equations with Nonlinear Boundary Conditions ⋮ Asymptotic regularity and attractors of the reaction-diffusion equation with nonlinear boundary condition ⋮ Complete and energy blow-up in parabolic problems with nonlinear boundary conditions ⋮ Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition ⋮ Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations -- an application to the blow-up problems of partial differential equations ⋮ The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition ⋮ Thermal avalanche for blowup solutions of semilinear heat equations ⋮ Thermal avalanche after non-simultaneous blow-up in heat equations coupled via nonlinear boundary ⋮ Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications
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