On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation

DOI10.1134/S0012266111040045zbMath1232.35147WikidataQ115252316 ScholiaQ115252316MaRDI QIDQ647677

Pohozaev, Stanislav I.

Publication date: 24 November 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

blow-upKdV equationlocal solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)

Related Items (8)

Well-posedness of Korteweg-de Vries-Benjamin Bona Mahony equation on a finite domain ⋮ On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation ⋮ Blowup in Korteweg-de Vries-type systems ⋮ Blowup of solutions of a Korteweg-de Vries-type equation ⋮ Solution blowup for systems of shallow-water equations ⋮ Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory ⋮ Blowing-up solutions of the time-fractional dispersive equations ⋮ On a Nonlinear Problem of the Breaking Water Waves

Cites Work

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• Forced oscillations of the Korteweg-de Vries equation on a bounded domain and their stability
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation

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