Convergence of a blow-up curve for a semilinear wave equation

DOI10.3934/dcdss.2020388zbMath1462.35098OpenAlexW3035607770MaRDI QIDQ830049

Takiko Sasaki

Publication date: 7 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020388

zbMATH Keywords

wave equationblow-upnumerical analysis

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

A blow-up result for a nonlinear wave equation on manifolds: the critical case

Cites Work

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• Existence and classification of characteristic points at blow-up for a semilinear wave equation in one space dimension
• Blow-Up Estimates for a Nonlinear Hyperbolic Heat Equation
• The Blow-Up Boundary for Nonlinear Wave Equations
• The Blow-up Surface for Nonlinear Wave Equations with Small Spatial Velocity
• Remarks on the blow-up boundaries and rates for nonlinear wave equations
• The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension. I

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