Short time behaviour of a singular solution to the heat equation with absorption
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Publication:3784520
DOI10.1017/S0308210500031152zbMath0642.35045MaRDI QIDQ3784520
R. E. Grundy, Lambertus A. Peletier
Publication date: 1987
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial value problems for second-order parabolic equations (35K15)
Related Items (8)
Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption ⋮ Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption ⋮ On the initial growth of interfaces in reaction–diffusion equations with strong absorption ⋮ On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics ⋮ Asymptotic behavior of the solutions of the dead-core problem ⋮ Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations ⋮ Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion ⋮ Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption
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- Diffusion in inhomogeneous media: Localization and positivity
- The asymptotic behaviour of the solution of the filtration equation
- Stabilization of solutions of a degenerate nonlinear diffusion problem
- Propagation of thermal waves in an inhomogeneous medium
- The propagation of disturbances in problems of non-linear heat conduction with absorption
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