On finite-time blow-up for a nonlocal parabolic problem arising from shear bands in metals

DOI10.1090/S0002-9939-06-08925-8zbMath1120.35053OpenAlexW2033449386MaRDI QIDQ3425997

Gao-Feng Zheng

Publication date: 7 March 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08925-8

zbMATH Keywords

method of moving planesnonlocal parabolic equationsfinite-time blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57)

Related Items (2)

The existence and dynamic properties of a parabolic nonlocal MEMS equation ⋮ Blow-up for a nonlocal parabolic equation

Cites Work

• Unnamed Item
• Symmetry and related properties via the maximum principle
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Global existence and finite-time blow-up for a class of nonlocal parabolic problems
• Elliptic partial differential equations of second order
• Mathematical problems from combustion theory
• Single-point blowup for nonlocal parabolic problems
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• Quasilinear Dirichlet problems driven by positive sources
• A Criterion for Blow-Up of Solutions to Semilinear Heat Equations

This page was built for publication: On finite-time blow-up for a nonlocal parabolic problem arising from shear bands in metals