Self-Similar Dynamics for the Modified Korteweg–de Vries Equation

DOI10.1093/IMRN/RNZ383zbMath1489.35235arXiv1904.04524OpenAlexW3002564007WikidataQ126532491 ScholiaQ126532491MaRDI QIDQ5021158

Raphaël Côte, Simão Correia, Luis Vega

Publication date: 12 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04524

zbMATH Keywords

Korteweg-de Vries equationlocal well-posedness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Stratification effects in viscous fluids (76D50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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