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Department of Pure Mathematics and Mathematical Statistics

Research interests: non linear wave dynamics, Schrodinger equations, kinetic and fluid equations, singularity formation and wave collapse

Publications

On the implosion of a three dimensional compressible fluid
P Raphael, F Merle, I Rodnianski, J Szeftel
(2019)
On blow up for the energy super critical defocusing {nonlinear Schr\"odinger equations
P Raphael, F Merle, I Rodnianski, J Szeftel
(2019)
Strongly anisotropic type II blow up at an isolated point
C Collot, F Merle, P Raphaël
– Journal of the American Mathematical Society
(2019)
33,
1
On the Stability of Type I Blow Up For the Energy Super Critical Heat Equation
C Collot, P Raphaël, J Szeftel
– Memoirs of the American Mathematical Society
(2019)
260,
On melting and freezing for the 2D radial Stefan problem
M Hadžić, P Raphaël
– Journal of the European Mathematical Society
(2019)
21,
3259
A Two-Soliton with Transient Turbulent Regime for the Cubic Half-Wave Equation on the Real Line
P Gérard, E Lenzmann, O Pocovnicu, P Raphaël
– Annals of PDE
(2018)
4,
7
On small traveling waves to the mass critical fractional NLS
I Naumkin, P Raphaël
– Calculus of Variations and Partial Differential Equations
(2018)
57,
93
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation
Yvan Martel, Pierre Raphaël
– Annales Scientifiques de l École Normale Supérieure
(2018)
51,
701
Dynamics Near the Ground State for the Energy Critical Nonlinear Heat Equation in Large Dimensions
C Collot, F Merle, P Raphaël
– Communications in Mathematical Physics
(2016)
352,
215
Minimal mass blow up solutions for a double power nonlinear Schrödinger equation
S Le Coz, Y Martel, P Raphaël
– Revista Matemática Iberoamericana
(2016)
32,
795
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Room

E2.03

Telephone

01223 764288