DYNAMICS OF UNSTABLE SOLUTIONS FOR THE WAVE EQUATION WITH SOURCES

DOI10.14529/mmph200406zbMath1459.35066OpenAlexW3100445180MaRDI QIDQ5144162

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Publication date: 15 January 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm464

zbMATH Keywords

nonlocalitynonlinear sourceanalogs of self-similar kinksnon-selfsimilar kinkslow explosionsubsonic and supersonic wave

Mathematics Subject Classification ID

Wave equation (35L05) Solutions to PDEs in closed form (35C05) Self-similar solutions to PDEs (35C06)

Related Items (1)

WAVE EQUATION WITH CUBIC NONLINEARITY AND EXCITATION OF OSCILLATIONS IN THE “MEDIUM–SOURCE” SYSTEM

Cites Work

• Solutions of the sine-Gordon equation with a variable amplitude
• Blow-up of solutions of strongly dissipative generalized Klein-Gordon equations
• Asymptotic stability of solitons for nonlinear hyperbolic equations
• Reaction versus diffusion: blow-up induced and inhibited by diffusivity
• On the unbounded increase in vorticity and velocity circulation in stratified and homogeneous fluid flows
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