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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 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 small traveling waves to the mass critical fractional NLS
I Naumkin, P Raphaël
– Calculus of Variations and Partial Differential Equations
(2018)
57,
93
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
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
(2017)
352,
215
Codimension One Threshold Manifold for the Critical gKdV Equation
Y Martel, F Merle, K Nakanishi, P Raphaël
– Communications in Mathematical Physics
(2016)
342,
1075
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
Blow up for the critical gKdV equation. II: Minimal mass dynamics
Y Martel, F Merle, P Raphaël
– Journal of the European Mathematical Society
(2015)
17,
1855
Type II blow up for the energy supercritical NLS
F Merle, P Raphaël, I Rodnianski
– Cambridge Journal of Mathematics
(2015)
3,
439
On the stability of critical chemotactic aggregation
P Raphaël, R Schweyer
– Mathematische Annalen
(2014)
359,
267
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Room

E2.03

Telephone

01223 764288