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Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation - MaRDI portal

Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation (Q2354260)

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English	Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation	scientific article

Statements

scholarly article

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Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation (English)

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Pierre Raphaël

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Séminaire Laurent Schwartz. EDP et Applications

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publication date

10 July 2015

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full work available at URL

https://arxiv.org/abs/1204.4625

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zbMATH Keywords

blow up

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MaRDI profile type

MaRDI publication profile

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Nonscattering solutions and blowup at infinity for the critical wave equation

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Dynamics of Threshold Solutions for Energy-Critical Wave Equation

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Dynamic of threshold solutions for energy-critical NLS

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Proof of a spectral property related to the singularity formation for the \(L^{2}\) critical nonlinear Schrödinger equation

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Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\)

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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On the mass-critical generalized KdV equation

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Global dynamics away from the ground state for the energy-critical nonlinear wave equation

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Non-generic blow-up solutions for the critical focusing NLS in 1-D

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Renormalization and blow up for charge one equivariant critical wave maps

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Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation

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A Liouville theorem for the critical generalized Korteweg-de Vries equation

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Instability of solitons for the critical generalized Korteweg-de Vries equation

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Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation

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Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation

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Nonexistence of blow-up solution with minimal \(L^2\)-mass for the critical gKdV equation

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Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation

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Blow up for the critical gKdV equation. II: Minimal mass dynamics

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Blow up for the critical gKdV equation III: exotic regimes

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Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

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Existence of blow-up solutions in the energy space for the critical generalized KdV equation

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Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation

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On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation

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On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation

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The instability of Bourgain-Wang solutions for the <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> critical NLS

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Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map

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Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation

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Global dynamics above the ground state energy for the cubic NLS equation in 3D

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Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation

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Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

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Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow

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Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS

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On the formation of singularities in solutions of the critical nonlinear Schrödinger equation

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On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model

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The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Identifiers

zbMATH Open document ID

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10.5802/slsedp.28

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2354260

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