Single-point blowup for nonlocal parabolic problems

DOI10.1016/S0167-2789(99)00057-3zbMath0952.74028WikidataQ126789272 ScholiaQ126789272MaRDI QIDQ1808356

Congming Li, Jerrold W. Bebernes, Paul C. Talaga

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

singularitiesblow-upadiabatic strain localizationnonlinear thermally-activated reaction-diffusion equationsnonlocal parabolic problems

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Anelastic fracture and damage (74R20) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Parabolic equations and parabolic systems (35K99)

Related Items (12)

On the blow-up of a non-local parabolic problem ⋮ Existence of solutions for nonlocal \(p\)-Laplacian thermistor problems on time scales ⋮ Finite-time blow-up of a non-local stochastic parabolic problem ⋮ Non-autonomous nonlocal partial differential equations with delay and memory ⋮ On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearity ⋮ Further spectral properties of uniformly elliptic operators that include a non-local term ⋮ Grow-up of critical solutions for a non-local porous medium problem with Ohmic heating source ⋮ Error estimates for a non-local thermistor problem ⋮ Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method ⋮ Spectral properties of non-local differential operators ⋮ A Dirichlet problem under integral boundary condition ⋮ On finite-time blow-up for a nonlocal parabolic problem arising from shear bands in metals

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