Asymptotics for the Ostrovsky-Hunter equation in the critical case

DOI10.1155/2017/3879017zbMath1487.35339OpenAlexW2580366307WikidataQ59144286 ScholiaQ59144286MaRDI QIDQ1656127

Nakao Hayashi, Fernando Bernal-Vílchis, Pavel I. Naumkin

Publication date: 10 August 2018

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3879017

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence of small-norm solutions in the reduced Ostrovsky equation
• Well-posedness and small data scattering for the generalized Ostrovsky equation
• Local and global well-posedness for the Ostrovsky equation
• Wave breaking in the short-pulse equation
• Cauchy problem for the Ostrovsky equation in spaces of low regularity
• Well-posedness and weak rotation limit for the Ostrovsky equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Cauchy problem for the Ostrovsky equation
• Analysis I. Integral presentations asymptotic methods
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Large time asymptotics for the reduced Ostrovsky equation
• Asymptotics of solutions to the generalized Ostrovsky equation
• Wave Breaking in the Ostrovsky–Hunter Equation
• Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation
• On the Cauchy Problem for the Ostrovsky Equation with Positive Dispersion
• LOW-REGULARITY SOLUTIONS FOR THE OSTROVSKY EQUATION
• Ostrovsky and Hunter's generic wave equation for weakly dispersive waves: matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves)

This page was built for publication: Asymptotics for the Ostrovsky-Hunter equation in the critical case