skip to content

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

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
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow
P Raphaël, R Schweyer
– Analysis & PDE
(2014)
7,
1713
On the stability of critical chemotactic aggregation
P Raphaël, R Schweyer
– Mathematische Annalen
(2014)
359,
267
On collapsing ring blow-up solutions to the mass supercritical nonlinear Schrödinger equation
F Merle, P Raphaël, J Szeftel
– Duke Mathematical Journal
(2014)
163,
369
Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton
Y Martel, F Merle, P Raphaël
– Acta Mathematica
(2014)
212,
59
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem
F Merle, P Raphaël, I Rodnianski
– Inventiones Mathematicae
(2013)
193,
249
Nondispersive solutions to the L 2-critical Half-Wave Equation
J Krieger, E Lenzmann, P Raphaël
– Archive for Rational Mechanics and Analysis
(2013)
209,
61
Stable Blowup Dynamics for the 1-Corotational Energy Critical Harmonic Heat Flow
P Raphaël, R Schweyer
– Communications on Pure and Applied Mathematics
(2013)
66,
414
  • <
  • 2 of 4
  • >

Room

E2.03

Telephone

01223 764288