Extended lifespan of the fractional BBM equation

DOI10.3233/ASY-211727zbMath1504.35368arXiv1902.06336OpenAlexW3204846204MaRDI QIDQ5104660

D. V. Nilsson

Publication date: 15 September 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06336

zbMATH Keywords

nonlinear equationsdispersive equationsenhanced life spanfBBM

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fractional derivatives and integrals (26A33) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Fractional partial differential equations (35R11)

Cites Work

• On ill-posedness for the generalized BBM equation
• Two dimensional water waves in holomorphic coordinates
• Sharp well-posedness results for the BBM equation
• Well-posedness for regularized nonlinear dispersive wave equations
• Models for internal waves in deep water
• Finite depth gravity water waves in holomorphic coordinates
• The lifespan of small data solutions in two dimensional capillary water waves
• Sharp global well‐posedness for the fractional BBM equation
• Long time solutions for a Burgers-Hilbert equation via a modified energy method
• Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: Extended lifespan of the fractional BBM equation