The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation F Merle, P Raphael Annals of mathematics, 157-222, 2005 | 390 | 2005 |
On universality of blow-up profile for L 2 critical nonlinear Schrödinger equation F Merle, P Raphael Inventiones mathematicae 156, 565-672, 2004 | 332 | 2004 |
On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation F Merle, P Raphael Journal of the American Mathematical Society 19 (1), 37-90, 2006 | 252 | 2006 |
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems P Raphaël, I Rodnianski Publications mathématiques de l'IHÉS 115, 1-122, 2012 | 231 | 2012 |
Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation F Merle, P Raphael Communications in mathematical physics 253, 675-704, 2005 | 228 | 2005 |
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation F Merle, P Raphael Geometric & Functional Analysis GAFA 13, 591-642, 2003 | 228 | 2003 |
Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS P Raphaël, J Szeftel Journal of the American Mathematical Society 24 (2), 471-546, 2011 | 152 | 2011 |
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem F Merle, P Raphaël, I Rodnianski Inventiones mathematicae 193, 249-365, 2013 | 131 | 2013 |
Stable blowup dynamics for the 1‐corotational energy critical harmonic heat flow P Raphaël, R Schweyer Communications on Pure and Applied Mathematics 66 (3), 414-480, 2013 | 123 | 2013 |
Stability of the log-log bound for blow up solutions to the critical non linear Schrödinger equation P Raphael Mathematische Annalen 331, 577-609, 2005 | 122 | 2005 |
Nondispersive solutions to the L 2-critical half-wave equation J Krieger, E Lenzmann, P Raphaël Archive for rational mechanics and analysis 209 (1), 61-129, 2013 | 117 | 2013 |
Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton Y Martel, F Merle, P Raphaël | 112 | 2014 |
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation M Hillairet, P Raphaël Anal. PDE 5 (4), 777-829, 2012 | 90 | 2012 |
On the stability of critical chemotactic aggregation P Raphaël, R Schweyer Mathematische Annalen 359, 267-377, 2014 | 86 | 2014 |
Orbital stability of spherical galactic models M Lemou, F Méhats, P Raphaël Inventiones mathematicae 187, 145-194, 2012 | 79 | 2012 |
Two‐soliton solutions to the three‐dimensional gravitational Hartree equation J Krieger, P Raphaël, Y Martel Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009 | 74 | 2009 |
Strongly interacting blow up bubbles for the mass critical NLS Y Martel, P Raphaël | 72 | 2018 |
Proof of a spectral property related to the singularity formation for the L2 critical nonlinear Schrödinger equation G Fibich, F Merle, P Raphaël Physica D: Nonlinear Phenomena 220 (1), 1-13, 2006 | 72 | 2006 |
Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow P Raphaël, R Schweyer Analysis & PDE 7 (8), 1713-1805, 2015 | 71 | 2015 |
Blow up for the critical gKdV equation III: exotic regimes Y Martel, F Merle, P Raphaël arXiv preprint arXiv:1209.2510, 2012 | 71 | 2012 |