A nonlinear Fourier transform for the Benjamin-Ono equation on the torus and applications

DOI10.5802/slsedp.138zbMath1479.35020OpenAlexW3037074881MaRDI QIDQ2053954

Yanyan Li

Publication date: 30 November 2021

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/slsedp.138

zbMATH Keywords

periodic boundary conditionsgravity waveslong-time behaviour of solutionsLax pair structurenonlinear dispersive equationstability of traveling waveslow regularity well-posedness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (2)

Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data ⋮ Long time behavior of solutions for a damped Benjamin-Ono equation

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