Instability of solitary waves of two-dimensional Benjamin equation

DOI10.1007/S12215-022-00738-7OpenAlexW4224287629MaRDI QIDQ2695253

Amin Esfahani

Publication date: 30 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00738-7

zbMATH Keywords

stabilitysolitary waveblow-uptwo dimensional Benjamin equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Liquid-liquid two component flows (76T06)

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
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• Minimax theorems
• Remarks on the generalized Kadomtsev-Petviashvili equations and two-dimensional Benjamin-Ono equations
• Long Internal Waves in Fluids of Great Depth
• Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation
• Solitary-Wave Solutions of the Benjamin Equation
• Blow up and instability of solitary wave solutions to a generalized Kadomtsev–Petviashvili equation and two-dimensional Benjamin–Ono equations
• On gravity–capillary lumps. Part 2. Two-dimensional Benjamin equation
• Introduction to nonlinear dispersive equations

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