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KdV on an incoming tide (Q5014652)

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scientific article; zbMATH DE number 7441043

Language	Label	Description	Also known as
English	KdV on an incoming tide	scientific article; zbMATH DE number 7441043

Statements

scholarly article

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KdV on an incoming tide (English)

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Thierry Laurens

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publication date

8 December 2021

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full work available at URL

https://arxiv.org/abs/2104.11748

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zbMATH Keywords

KdV equation

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dispersive PDEs

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integrable systems

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MaRDI profile type

MaRDI publication profile

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Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent

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Asymptotic behavior in the trailing edge domain of the solution of the KdV equation with an initial condition of the ``threshold type''

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Model equations for long waves in nonlinear dispersive systems

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Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type

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Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\)

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Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces

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The initial-value problem for the Korteweg-de Vries equation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Solutions of the korteweg–devries equation with steplike initial profile

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Solutions to the Korteweg–de Vries Equation with Initial Profile in $L_1^1 (\mathbb{R}) \cap L_N^1 (\mathbb{R}^ + )$

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Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

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Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

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On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations

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On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments

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An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces

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The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles

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On positive type initial profiles for the KdV equation

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Computing Polynomials of the Ramanujan <i>t<sub>n</sub></i> Class Invariants

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ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE

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KdV and BO equations with bore-like data

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Solutions of the Korteweg-de Vries equation with steplike initial data

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Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)

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Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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A bilinear estimate with applications to the KdV equation

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Invariance of white noise for KdV on the line

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KdV is well-posed in \(H^{-1}\)

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Well-posedness of Cauchy problems for Korteweg-de Vries-Benjamin-Ono equation and Hirota equation

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Solitons of the nonlinear Schrödinger equation generated by the continuum

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A note on ill posedness for the KdV equation.

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The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step-like initial profile decaying on the right half line

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KdV equation beyond standard assumptions on initial data

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Remarks on the Korteweg-de Vries equation

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Sur un problème non linéaire

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Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1088/1361-6544/AC37F5

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Sitelinks

Mathematics(1 entry)

mardi Publication:5014652

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