A quenching problem for the heat equation

DOI10.1216/jiea/1031315434zbMath1050.35039OpenAlexW2034506592MaRDI QIDQ1425622

Colleen M. Kirk, Catherine A. Roberts

Publication date: 17 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1031315434

zbMATH Keywords

heat equationquenchingnonlinear boundary conditionsone space-dimension

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Volterra integral equations (45D05)

Related Items (6)

A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source ⋮ Green's function homotopy perturbation method for the initial-boundary value problems ⋮ Recent results on blow-up and quenching for nonlinear Volterra equations ⋮ A preservative splitting approximation of the solution of a variable coefficient quenching problem ⋮ The quenching of solutions to time-space fractional Kawarada problems ⋮ The quenching behavior of a semilinear heat equation with a singular boundary outflux

Cites Work

• Analysis of explosion for nonlinear Volterra equations
• Quenching for a diffusive equation with a concentrated singularity
• Blow-up in a reactive-diffusive medium with a moving heat source
• Parabolic problems with nonlinear absorptions and releases at the boundaries
• The influence of two moving heat sources on blow-up in a reactive-diffusive medium
• Quenching on the boundary
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A quenching problem for the heat equation