The Majda-Biello system on the half-line

DOI10.1016/j.na.2023.113293zbMath1523.35246arXiv2212.07302OpenAlexW4366834488MaRDI QIDQ6107068

Fangchi Yan, A. Alexandrou Himonas

Publication date: 3 July 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07302

zbMATH Keywords

initial-boundary value problemintegrabilityKorteweg-de Vries equationwell-posedness in Sobolev spacesFokas unified transform methodMajda-Biello systemlinear space-time estimatesbilinear estimates in Bourgain spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31) Rossby waves (76U65)

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