Numerical analysis of radially nonsymmetric blow-up solutions of a nonlinear parabolic problem

DOI10.1016/S0377-0427(98)00103-4zbMath0932.65100OpenAlexW2062429788MaRDI QIDQ1298631

Daniela Vasileva, Michael Kaschiev, Stefka Dimova, Milena Dimova

Publication date: 15 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00103-4

zbMATH Keywords

combustionblow-up self-similar solutionsnonlinear heat conducting

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Combustion (80A25) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (4)

Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium ⋮ Stability and localization of unbounded solutions of a nonlinear heat equation in a plane ⋮ Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems ⋮ Numerical Investigation of Spiral Structure Solutions of a Nonlinear Elliptic Problem

Cites Work

• Mathematical problems from combustion theory
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• The Role of Critical Exponents in Blowup Theorems
• Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation
• Numerical realization of blow‐up spiral wave solutions of a nonlinear heat‐transfer equation
• Numerical analysis of the eigenfunctions for the combustion of a non-linear medium in the radial-symmetric case
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