Blow up in a periodic semilinear heat equation

DOI10.1016/j.physd.2023.133660OpenAlexW4317931764MaRDI QIDQ2688078

Yanyan Li

Publication date: 9 March 2023

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

Full work available at URL: https://arxiv.org/abs/2208.14522

zbMATH Keywords

matched asymptotic expansionsperiodic boundary conditionscomplex singularitiesFourier spectral methodsnonlinear blow up

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (1)

B-methods for the numerical solution of evolution problems with blow-up solutions. II: Splitting methods

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• A blow-up problem for a nonlinear heat equation in the complex plane of time
• Analytic solutions of some nonlinear diffusion equations
• Blow-up in nonlinear heat equations
• Tracing complex singularities with spectral methods
• Plane structures in thermal runaway
• The problem of blow-up in nonlinear parabolic equations
• Rigorous numerics for nonlinear heat equations in the complex plane of time
• The MATLAB ODE Suite
• Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
• A rescaling algorithm for the numerical calculation of blowing-up solutions
• On asymptotic forms of reactive-diffusive runaway
• Deciphering Singularities by Discrete Methods
• Unsteady three-dimensional marginal separation caused by surface-mounted obstacles and/or local suction
• Computing the Dynamics of Complex Singularities of Nonlinear PDEs
• Blow-up and control of marginally separated boundary layers
• Superlinear Parabolic Problems
• A nonlinear instability burst in plane parallel flow
• Unnamed Item

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