Publications (50)
Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions
Charles Collot, Frank Merle, Pierre Raphael
The instability of Bourgain-Wang solutions for the L^2 critical NLS
Frank Merle, Pierre Raphael, Jeremie Szeftel
On the nonexistence of pure multi-solitons for the quartic gKdV equation
Yvan Martel, Frank Merle
Global well-posedness, scattering and blow-up for the energy critical focusing non-linear wave equation
Carlos E. Kenig, Frank Merle
Near soliton dynamics and singularity formation for $L^2$ critical problems
Yvan Martel, Frank Merle, Pierre Raphael +1
Inelastic interaction of nearly equal solitons for the quartic gKdV equation
Yvan Martel, Frank Merle
Description of two soliton collision for the quartic gKdV equation
Yvan Martel, Frank Merle
Dynamics near explicit stationary solutions in similarity variables for solutions of a semilinear wave equation in higher dimensions
Frank Merle, Hatem Zaag
Blow up for the critical gKdV equation I: dynamics near the soliton
Yvan Martel, Frank Merle, Pierre Raphael
Inelastic interaction of nearly equal solitons for the BBM equation
Yvan Martel, Frank Merle
Profiles of bounded radial solutions of the focusing, energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Blow up of the critical norm for some radial L^2 super critical nonlinear Schrodinger equations
Frank Merle, Pierre Raphael
Scattering profile for global solutions of the energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Blow up for the critical gKdV equation II: minimal mass dynamics
Yvan Martel, Frank Merle, Pierre Raphael
On strongly anisotropic type I blow up
Frank Merle, Pierre Raphael, Jeremie Szeftel
Blow up for the critical gKdV equation III: exotic regimes
Yvan Martel, Frank Merle, Pierre Raphael
Dynamic of threshold solutions for energy-critical NLS
Thomas Duyckaerts, Frank Merle
Inelasticity of soliton collisions for the 5D energy critical wave equation
Yvan Martel, Frank Merle
Blow-up solutions to the semilinear wave equation with a stylized pyramid as a blow-up surface
Frank Merle, Hatem Zaag
Concentration-compactness and universal profiles for the non-radial energy critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map
Frank Merle, Pierre Raphaël, Igor Rodnianski
Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions
Carlos E. Kenig, Frank Merle
On strongly anisotropic type II blow up
Charles Collot, Frank Merle, Pierre Raphael
Type II blow up for the energy supercritical NLS
Frank Merle, Pierre Raphael, Igor Rodnianski
Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Dynamic of threshold solutions for energy-critical wave equation
Thomas Duyckaerts, Frank Merle
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
Yvan Martel, Frank Merle
Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
Raphael Cote, Carlos E. Kenig, Frank Merle
Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations
Raphael Cote, Yvan Martel, Frank Merle
Solutions of the focusing nonradial critical wave equation with the compactness property
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle
Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem
Frank Merle, Pierre Raphael, Igor Rodnianski
Maximizers for the Strichartz norm for small solutions of mass-critical NLS
Thomas Duyckaerts, Frank Merle, Svetlana Roudenko
Asymptotic stability of solitons of the gKdV equations with general nonlinearity
Yvan Martel, Frank Merle
Scattering for radial, bounded solutions of focusing supercritical wave equations
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Scattering norm estimate near the threshold for energy-critical focusing semilinear wave equation
Thomas Duyckaerts, Frank Merle
Soliton resolution along a sequence of times for the focusing energy critical wave equation
Thomas Duyckaerts, Hao Jia, Carlos Kenig +1
On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations
Frank Merle, Hatem Zaag
Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications
Carlos E. Kenig, Frank Merle
Global existence for solutions of the focusing wave equation with the compactness property
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case
Thomas Duyckaerts, Carlos Kenig, Frank Merle
Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case
Carlos E. Kenig, Frank Merle
Universality of blow up profile for small blow up solutions to the energy critical wave map equation
Thomas Duyckaerts, Hao Jia, Carlos Kenig +1
Codimension one threshold manifold for the critical gKdV equation
Yvan Martel, Frank Merle, Kenji Nakanishi +1
Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations
Frank Merle, Pierre Raphael, Jeremie Szeftel
Refined asymptotics around solitons for gKdV equations
Yvan Martel, Frank Merle
Construction of multi-solitons for the energy-critical wave equation in dimension 5
Yvan Martel, Frank Merle
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
Yvan Martel, Frank Merle, Tai-Peng Tsai
Stability of two soliton collision for nonintegrable gKdV equations
Yvan Martel, Frank Merle
Classification of radial solutions of the focusing, energy-critical wave equation
Thomas Duyckaerts, Carlos Kenig, Frank Merle