The finite-time blowup of the solution of an initial boundary-value problem for the nonlinear equation of ion sound waves

DOI10.1134/S0040577916060040zbMath1348.35039OpenAlexW2471097568MaRDI QIDQ314917

M. O. Korpusov

Publication date: 19 September 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916060040

zbMATH Keywords

nonlinear capacityMitidieri-Pohozaev method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Hydro- and aero-acoustics (76Q05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

Related Items (3)

Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities ⋮ Nonlinear equations of the theory of ion-sound plasma waves ⋮ On nonextendable solutions and blow-ups of solutions of pseudoparabolic equations with coercive and constant-sign nonlinearities: analytical and numerical study

Cites Work

• On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations
• On blow-up of solutions of the Kuramoto-Sivashinsky equation
• Nonlinear Waves, Solitons and Chaos

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