Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation
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Publication:2405858
DOI10.1007/s00208-016-1497-8zbMath1391.35077arXiv1605.01837OpenAlexW2962965695MaRDI QIDQ2405858
Publication date: 26 September 2017
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01837
KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
Related Items (19)
Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ Periodic waves in the fractional modified Korteweg-de Vries equation ⋮ Benjamin--Ono Soliton Dynamics in a Slowly Varying Potential Revisited ⋮ Low regularity well-posedness for generalized Benjamin–Ono equations on the circle ⋮ Construction of Multibubble Solutions for the Critical GKDV Equation ⋮ One-sided Hölder regularity of global weak solutions of negative order dispersive equations ⋮ Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation ⋮ Asymptotic \(N\)-soliton-like solutions of the fractional Korteweg-de Vries equation ⋮ On the regularity and symmetry of periodic traveling solutions to weakly dispersive equations with cubic nonlinearity ⋮ Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ On the modified intermediate long-wave equation ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential ⋮ Instability of solitons–revisited, I: The critical generalized KdV equation ⋮ Self-similar asymptotics for solutions to the intermediate long-wave equation ⋮ Lie symmetries of Benjamin-Ono equation ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations ⋮ Construction of minimal mass blow-up solutions to rough nonlinear Schrödinger equations ⋮ On the modified fractional Korteweg–de Vries and related equations
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