Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data

DOI10.1007/s00220-023-04701-0zbMath1529.35381arXiv2111.06800OpenAlexW4366985669MaRDI QIDQ6109348

Louise Gassot

Publication date: 28 July 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.06800

zbMATH Keywords

Benjamin-Ono equationinviscid Burgers equation, eigenvalue equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items

Spectral theory of the Nazarov-Sklyanin Lax operator, Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data

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