Asymptotics of solutions of a modified Whitham equation with surface tension

DOI10.1070/IM8673zbMath1414.35032OpenAlexW2905653157MaRDI QIDQ5742970

Pavel I. Naumkin

Publication date: 8 May 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8673

zbMATH Keywords

large-time asymptoticscritical nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

Modified scattering for the higher-order KdV-BBM equations ⋮ Large time asymptotics for the fractional modified Korteweg-de Vries equation of order \(\alpha \in \left[ 4,5\right)\) ⋮ Logarithmic nature of the long-time asymptotics of solutions of a Sobolev-type nonlinear equations with cubic nonlinearities

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