The profile near quenching time for the solution of a singular semilinear heat equation

DOI10.1017/S0013091500023932zbMath0903.35007WikidataQ116009581 ScholiaQ116009581MaRDI QIDQ4400074

Bei Hu, Jong-Shenq Guo

Publication date: 2 August 1998

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

one point quenchingself similar quenching rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35)

Related Items (12)

Extendability and optimal control after quenching for some ordinary differential equations ⋮ Global existence and blow-up for the degenerate and singular nonlinear parabolic system with a nonlocal source ⋮ Numerical quenching for a semilinear parabolic equation with nonlinear boundary conditions ⋮ Quenching phenomenon of positive radial solutions for \(p\)-Laplacian with singular boundary flux ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source ⋮ Asymptotic properties of singular solutions in degenerate parabolic equation with boundary flux ⋮ Quenching problem for a singular semilinear heat equation ⋮ Optimal control problems for some ordinary differential equations with behavior of blowup or quenching ⋮ Time optimal control problems for some non-smooth systems ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with nonlocal source ⋮ The blow-up properties for a degenerate semilinear parabolic equation with nonlocal source ⋮ Quenching phenomenon of a singular semilinear parabolic problem

Cites Work

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• Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Generalized axially symmetric heat potentials and singular parabolic initial boundary value problems
• On the quenching behavior of the solution of a semilinear parabolic equation
• Two singular diffusion problems
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Quenching for Semilinear Singular Parabolic Problems

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