Finite-time blow-up in reaction-diffusion equations

DOI10.1016/0895-7177(93)90226-OzbMath0792.35093OpenAlexW2074545112MaRDI QIDQ1324743

V. Pereyra

Publication date: 7 August 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90226-o

zbMATH Keywords

similarity solutionsnonlinear diffusionfinite-time blow-upnumerical routinespolynomial or exponential nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions ⋮ Taylor polynomial stepwise refinement algorithm for Lie and high symmetries of partial differential equations

Cites Work

• A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
• Mathematical problems from combustion theory
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
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