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papers

Publications (27)

math.AP2017

On melting and freezing for the 2d radial Stefan problem

Mahir Hadzic, Pierre Raphael

math.AP2014

Blow up for the critical gKdV equation II: minimal mass dynamics

Yvan Martel, Frank Merle, Pierre Raphael

math.AP2012

Nondispersive solutions to the L2-critical half-wave equation

Joachim Krieger, Enno Lenzmann, Pierre Raphael

math.AP2017

On strongly anisotropic type I blow up

Frank Merle, Pierre Raphael, Jeremie Szeftel

math.AP2012

Blow up for the critical gKdV equation III: exotic regimes

Yvan Martel, Frank Merle, Pierre Raphael

math.AP2015

Codimension one threshold manifold for the critical gKdV equation

Yvan Martel, Frank Merle, Kenji Nakanishi +1

math.AP2009

Stable self similar blow up dynamics for slightly L^2 supercritical NLS equations

Frank Merle, Pierre Raphael, Jeremie Szeftel

math.AP2013

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

Pierre Raphael, Remi Schweyer

math.AP2009

Stable ground states for the relativistic gravitational Vlasov-Poisson system

Mohammed Lemou, Florian Mehats, Pierre Raphael

math.AP2010

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

Pierre Raphael, Jeremie Szeftel

math.AP2012

On the stability of critical chemotactic aggregation

Pierre Raphael, Remi Schweyer

math.AP2010

Orbital stability of spherical galactic models

Mohammed Lemou, Florian Mehats, Pierre Raphael

math.AP2017

On strongly anisotropic type II blow up

Charles Collot, Frank Merle, Pierre Raphael

math.AP2014

Type II blow up for the energy supercritical NLS

Frank Merle, Pierre Raphael, Igor Rodnianski

math.AP2016

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

Charles Collot, Frank Merle, Pierre Raphael

math.AP2015

Strongly interacting blow up bubbles for the mass critical NLS

Yvan Martel, Pierre Raphael

math.AP2010

The instability of Bourgain-Wang solutions for the L^2 critical NLS

Frank Merle, Pierre Raphael, Jeremie Szeftel

math.AP2008

Two soliton solutions to the three dimensional gravitational Hartree equation

Joachim Krieger, Yvan Martel, Pierre Raphael

math.AP2008

On Stability of Pseudo-Conformal Blowup for L^2-critical Hartree NLS

Joachim Krieger, Enno Lenzmann, Pierre Raphael

math.AP2014

Minimal mass blow up solutions for a double power nonlinear Schrödinger equation

Stefan Le Coz, Yvan Martel, Pierre Raphael

math.AP2011

Stable blow up dynamics for the 1-corotational energy critical harmonic heat flow

Pierre Raphael, Remi Schweyer

math.AP2014

Near soliton dynamics and singularity formation for $L^2$ critical problems

Yvan Martel, Frank Merle, Pierre Raphael +1

math.AP2016

On the stability of type I blow up for the energy super critical heat equation

Charles Collot, Pierre Raphael, Jeremie Szeftel

math.AP2011

Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem

Frank Merle, Pierre Raphael, Igor Rodnianski

math.AP2012

Blow up for the critical gKdV equation I: dynamics near the soliton

Yvan Martel, Frank Merle, Pierre Raphael

math.AP2010

A new variational approach to the stability of gravitational systems

Mohammed Lemou, Florian Mehats, Pierre Raphael

math.AP2007

Blow up of the critical norm for some radial L^2 super critical nonlinear Schrodinger equations

Frank Merle, Pierre Raphael