On a nonlocal problem modelling Ohmic heating in planar domains

DOI10.1007/s10114-012-1158-0zbMath1261.35025OpenAlexW1970997952MaRDI QIDQ1940881

Fei Liang, Yuxiang Li, Qi-lin Liu

Publication date: 8 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-1158-0

zbMATH Keywords

annulusblow-up in infinite time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (1)

Existence and uniqueness for some nonlocal elliptic problem

Cites Work

• Unnamed Item
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Global existence and finite-time blow-up for a class of nonlocal parabolic problems
• Bifurcation from infinity in a class of nonlocal elliptic problems.
• Global existence and divergence of critical solutions of a non-local parabolic problem in Ohmic heating process
• Asymptotic behaviour for a non-local parabolic problem
• Blow-up in Nonlocal Reaction-Diffusion Equations
• On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction
• Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway
• Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
• ON THE BLOW-UP OF THE NON-LOCAL THERMISTOR PROBLEM

This page was built for publication: On a nonlocal problem modelling Ohmic heating in planar domains