On quenching with logarithmic singularity

DOI10.1016/S0362-546X(02)00110-4zbMath1020.35004OpenAlexW2063377417MaRDI QIDQ1863606

Timo Salin

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(02)00110-4

zbMATH Keywords

blow-upquenching ratequenching setequivalence between quenching and blow-up

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (16)

Existence and regularity to an elliptic equation with logarithmic nonlinearity ⋮ On the existence of weak solutions for a class of singular reaction diffusion systems ⋮ Quenching for a non-local diffusion equation with a singular absorption term and Neumann boundary condition ⋮ Incomplete quenching of heat equations with coupled singular logarithms boundary fluxes ⋮ Quenching for a reaction-diffusion equation with nonlinear memory ⋮ Quenching for a reaction-diffusion system with coupled inner singular absorption terms ⋮ Existence of the maximal weak solution for a class of singular parabolic equations ⋮ Unnamed Item ⋮ Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition ⋮ Non-simultaneous versus simultaneous quenching in a coupled nonlinear parabolic system ⋮ The quenching phenomenon of a nonlocal semilinear heat equation with a weak singularity ⋮ Non-simultaneous quenching in a semilinear parabolic system with weak singularities of logarithmic type ⋮ A singular parabolic equation with logarithmic nonlinearity and \(L^p\)-initial data ⋮ Quenching for a reaction-diffusion system with logarithmic singularity ⋮ Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs ⋮ The quenching behavior of a semilinear heat equation with a singular boundary outflux

Cites Work

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• A description of self-similar blow-up for dimensions n\(\geq 3\)
• Observations on blow up and dead cores for nonlinear parabolic equations
• Maximum principles and their applications
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Local behaviour near blow-up points for semilinear parabolic equations
• Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
• On the quenching behavior of the solution of a semilinear parabolic equation
• Stabilization of Solutions of Weakly Singular Quenching Problems
• A Note on the Quenching Rate
• The Role of Critical Exponents in Blowup Theorems
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Existence of solutions of quenching problems
• The zero set of a solution of a parabolic equation.
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• On the quenching rate estimate
• Refined asymptotics for the blowup of u_t — δu = u^p
• Quenching profiles for one-dimensional semilinear heat equations
• Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term
• On the Blowup of u t at Quenching
• Remarks on quenching
• Remarks on quenching

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