Blow-up rate for the heat equation with a memory boundary condition

DOI10.1080/00036811.2014.892928zbMath1335.35138OpenAlexW2033935707MaRDI QIDQ5175343

Keng Deng, Qian Wang

Publication date: 20 February 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.892928

zbMATH Keywords

blow-up ratefinite time blow-upmemory boundary conditionblow-up on boundary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Blow-up in context of PDEs (35B44)

Related Items (1)

Global existence of solutions of a semilinear heat equation with nonlinear memory condition

Cites Work

• Unnamed Item
• Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
• Parabolic evolution equations and nonlinear boundary conditions
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• The blow-up behavior of the heat equation with Neumann boundary conditions
• Blow-up results and localization of blow-up points in an \(N\)-dimensional smooth domain
• A differential problem for heat equation with a boundary condition with memory
• A boundary condition with memory in electromagnetism
• A general theory of heat conduction with finite wave speeds
• Global solvability for the heat equation with boundary flux governed by nonlinear memory
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
• The blow‐up rate for the heat equation with a non‐linear boundary condition

This page was built for publication: Blow-up rate for the heat equation with a memory boundary condition