A nonlocal problem modelling ohmic heating with variable thermal conductivity

DOI10.1016/S1468-1218(01)00002-5zbMath1001.80002OpenAlexW2040502916MaRDI QIDQ5952940

Dimitrios E. Tzanetis, Panayiotis Vlamos

Publication date: 4 December 2002

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(01)00002-5

zbMATH Keywords

stabilityblow-upglobal existencenon-local parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

On the numerical solution of some nonlinear and nonlocal boundary value problems ⋮ An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems ⋮ On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem ⋮ Blow-up for a nonlocal parabolic equation ⋮ Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating ⋮ Grow-up of critical solutions for a non-local porous medium problem with Ohmic heating source ⋮ Asymptotic behavior of a degenerate nonlocal parabolic equation ⋮ A Time Discretization Scheme for a Nonlocal Degenerate Problem Modelling Resistance Spot Welding ⋮ Three solutions for some Dirichlet and Neumann nonlocal problems ⋮ On a class of nonlocal elliptic problems via Galerkin method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and finite-time blow-up for a class of nonlocal parabolic problems
• Mathematical problems from combustion theory
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• The stationary thermistor problem with a current limiting device
• 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
• Behaviour of a non-local reactive convective problem modelling ohmic heating of foods

This page was built for publication: A nonlocal problem modelling ohmic heating with variable thermal conductivity