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Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting

Ioakeim Ampatzoglou , Charles Collot , Pierre Germain
2021
Pré-publication, Document de travail hal-03452617v1
Image document

NON RADIAL TYPE II BLOW UP FOR THE ENERGY SUPERCRITICAL SEMILINEAR HEAT EQUATION

Charles Collot
2016
Pré-publication, Document de travail hal-01323991v1
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On critical and supercritical blow-up for the semilinear heat and wave equations

Charles Collot
General Mathematics [math.GM]. COMUE Université Côte d'Azur (2015 - 2019), 2016. English. ⟨NNT : 2016AZUR4095⟩
Thèse tel-01466729v1

Type II Blow up Manifolds for the Energy Supercritical Semilinear Wave Equation

Charles Collot
Memoirs of the American Mathematical Society, 2018, 252 (1205), ⟨10.1090/memo/1205⟩
Article dans une revue hal-03452611v1

Derivation of the homogeneous kinetic wave equation: longer time scales

Charles Collot , Pierre Germain
2021
Pré-publication, Document de travail hal-03452629v1

Strongly anisotropic type II blow up at an isolated point

Charles Collot , Frank Merle , Pierre Raphaël
Journal of the American Mathematical Society, 2020, 33 (2), pp.527-607. ⟨10.1090/jams/941⟩
Article dans une revue hal-03452615v1

On the Stability of Type I Blow Up For the Energy Super Critical Heat Equation

Charles Collot , Pierre Raphaël , Jérémie Szeftel
Memoirs of the American Mathematical Society, 2019, 260 (1255), ⟨10.1090/memo/1255⟩
Article dans une revue hal-02410627v1

Singularity formation for Burgers equation with transverse viscosity

Charles Collot , Tej-Eddine Ghoul , Nader Masmoudi
2021
Pré-publication, Document de travail hal-03452620v1

Spectral analysis for singularity formation of the two dimensional Keller-Segel system

Charles Collot , Tej-Eddine Ghoul , Nader Masmoudi , van Tien Nguyen
2021
Pré-publication, Document de travail hal-03452625v1

Type II blow up manifolds for the energy supercritical wave equation

Charles Collot
2014
Pré-publication, Document de travail hal-01288578v1
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ON THE STABILITY OF TYPE I BLOW UP FOR THE ENERGY SUPER CRITICAL HEAT EQUATION

Charles Collot , Pierre Raphaël , Jérémie Szeftel
2018
Pré-publication, Document de travail hal-01808635v1

On singularity formation for the two dimensional unsteady Prandtl's system

Charles Collot , Tej-Eddine Ghoul , Slim Ibrahim , Nader Masmoudi
2021
Pré-publication, Document de travail hal-03452623v1

On the derivation of the homogeneous kinetic wave equation

Charles Collot , Pierre Germain
2021
Pré-publication, Document de travail hal-03452627v1

Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions

Charles Collot , Frank Merle , Pierre Raphaël
Communications in Mathematical Physics, 2017, 1, pp.215-285. ⟨10.1007/s00220-016-2795-4⟩
Article dans une revue hal-02980402v1

Refined Description and Stability for Singular Solutions of the 2D Keller‐Segel System

Charles Collot , Tej‐eddine Ghoul , Nader Masmoudi , van Tien Nguyen
Communications on Pure and Applied Mathematics, In press, ⟨10.1002/cpa.21988⟩
Article dans une revue hal-03452626v1
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DYNAMICS NEAR THE GROUND STATE FOR THE ENERGY CRITICAL NONLINEAR HEAT EQUATION IN LARGE DIMENSIONS

Charles Collot , Frank Merle , Pierre Raphaël
2016
Pré-publication, Document de travail hal-01324000v1
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STABILITY OF STEADY STATES FOR HARTREE AND SCHRÖDINGER EQUATIONS FOR INFINITELY MANY PARTICLES

Charles Collot , Anne-Sophie de Suzzoni
Annales Henri Lebesgue, 2022
Article dans une revue hal-02980694v2

Singularities and unsteady separation for the inviscid two-dimensional Prandtl system

Charles Collot , Tej-Eddine Ghoul , Nader Masmoudi
Archive for Rational Mechanics and Analysis, 2021, 240 (3), pp.1349-1430. ⟨10.1007/s00205-021-01637-4⟩
Article dans une revue hal-03452624v1
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ON THE STABILITY OF TYPE I BLOW UP FOR THE ENERGY SUPER CRITICAL HEAT EQUATION

Charles Collot , Pierre Raphaël , Jeremie Szeftel
2016
Pré-publication, Document de travail hal-01324005v1

Stability of ODE blow-up for the energy critical semilinear heat equation

Charles Collot , Frank Merle , Pierre Raphaël
Comptes Rendus. Mathématique, 2017, 1, pp.65-79. ⟨10.1016/j.crma.2016.10.020⟩
Article dans une revue hal-02980403v1