Quenching on the boundary

DOI10.1016/0362-546X(93)90124-BzbMath0809.35043OpenAlexW1985307318MaRDI QIDQ4291637

Marek Fila, Levine, Howard A.

Publication date: 10 May 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90124-b

zbMATH Keywords

nonlinear boundary conditionquenching

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05)

Related Items (30)

Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition ⋮ Numerical quenching for a semilinear parabolic equation with nonlinear boundary conditions ⋮ Quenching behavior of solutions to heat equations with coupled boundary singularities ⋮ Quenching phenomenon of positive radial solutions for \(p\)-Laplacian with singular boundary flux ⋮ CONTINUITY OF THE BLOW-UP TIME IN A NONLINEAR PARABOLIC EQUATION WITH NONLINEAR MEMORY ⋮ Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type ⋮ The quenching behavior of a nonlinear parabolic equation with nonlinear boundary outflux ⋮ Unnamed Item ⋮ Non-simultaneous quenching for a slow diffusion system coupled at the boundary ⋮ Numerical Approximation of the Quenching Time for One-Dimensional p-Laplacian with Singular Boundary Flux ⋮ Quenching for a non-Newtonian filtration equation with a singular boundary condition ⋮ Quenching phenomenon for a non-Newtonian filtration equation with singular boundary flux ⋮ Quenching behavior of solutions in coupled heat equations with singular multi-nonlinearities ⋮ Incomplete quenching of heat equations with absorption ⋮ Asymptotic profile of quenching in a system of heat equations coupled at the boundary ⋮ A quenching problem for the heat equation ⋮ Incomplete quenching in a system of heat equations coupled at the boundary ⋮ Quenching for a parabolic equation with variable coefficient modeling MEMS technology ⋮ Quenching phenomena for a non-local diffusion equation with a singular absorption ⋮ Nonlinear problems with solutions exhibiting a free boundary on the boundary ⋮ Simultaneous and non-simultaneous quenching for coupled parabolic system ⋮ A quenching phenomenon for one-dimensional \(p\)-Laplacian with singular boundary flux ⋮ The boundary quenching behavior of a semilinear parabolic equation ⋮ Quenching rates for heat equations with coupled singular nonlinear boundary flux ⋮ Instability of solutions of a semilinear heat equation with a Neumann boundary condition ⋮ Numerical quenching for the semilinear heat equation with a singular absorption ⋮ Numerical quenching versus blow-up for a nonlinear parabolic equation with nonlinear boundary outflux ⋮ Numerical quenching of a system of equations coupled at the boundary ⋮ The quenching behavior of a semilinear heat equation with a singular boundary outflux ⋮ Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
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• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• On the quenching behavior of the solution of a semilinear parabolic equation
• The Quenching of Solutions of Linear Parabolic and Hyperbolic Equations with Nonlinear Boundary Conditions
• A Note on the Quenching Rate
• ON THE METHOD OF STATIONARY STATES FOR QUASILINEAR PARABOLIC EQUATIONS
• Asymptotically self‐similar blow‐up of semilinear heat equations
• The blow‐up rate for the heat equation with a non‐linear boundary condition

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