Bahri, Yakine; Martel, Yvan; Raphaël, Pierre Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations. (English) Zbl 1466.35321 Ann. Henri Poincaré 22, No. 5, 1701-1749 (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 34E20 35B44 35C08 35C06 35B32 PDFBibTeX XMLCite \textit{Y. Bahri} et al., Ann. Henri Poincaré 22, No. 5, 1701--1749 (2021; Zbl 1466.35321) Full Text: DOI arXiv
Naumkin, Ivan; Raphaël, Pierre On traveling waves of the nonlinear Schrödinger equation escaping a potential well. (English) Zbl 1437.35194 Ann. Henri Poincaré 21, No. 5, 1677-1758 (2020). MSC: 35J10 35Q55 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{P. Raphaël}, Ann. Henri Poincaré 21, No. 5, 1677--1758 (2020; Zbl 1437.35194) Full Text: DOI arXiv
Hadžić, Mahir; Raphaël, Pierre On melting and freezing for the 2D radial Stefan problem. (English) Zbl 1446.35271 J. Eur. Math. Soc. (JEMS) 21, No. 11, 3259-3341 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35R35 35A01 35B44 35P15 35K20 PDFBibTeX XMLCite \textit{M. Hadžić} and \textit{P. Raphaël}, J. Eur. Math. Soc. (JEMS) 21, No. 11, 3259--3341 (2019; Zbl 1446.35271) Full Text: DOI arXiv
Martel, Yvan; Raphaël, Pierre Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation. (English. French summary) Zbl 1403.35280 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 3, 701-737 (2018). MSC: 35Q55 35B44 37K40 35C08 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{P. Raphaël}, Ann. Sci. Éc. Norm. Supér. (4) 51, No. 3, 701--737 (2018; Zbl 1403.35280) Full Text: Link
Naumkin, Ivan; Raphaël, Pierre On small traveling waves to the mass critical fractional NLS. (English) Zbl 1410.35210 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 93, 1-36 (2018). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35B40 35R11 35C07 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{P. Raphaël}, Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 93, 1--36 (2018; Zbl 1410.35210) Full Text: DOI arXiv HAL
Collot, Charles; Merle, Frank; Raphaël, Pierre Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions. (English) Zbl 1401.35178 Commun. Math. Phys. 352, No. 1, 215-285 (2017). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35K57 35B44 35C07 35K59 PDFBibTeX XMLCite \textit{C. Collot} et al., Commun. Math. Phys. 352, No. 1, 215--285 (2017; Zbl 1401.35178) Full Text: DOI arXiv
Raphaël, Pierre; Schweyer, Rémi On the stability of critical chemotactic aggregation. (English) Zbl 1320.35100 Math. Ann. 359, No. 1-2, 267-377 (2014). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B44 35B40 35K15 35Q92 92C17 35B35 PDFBibTeX XMLCite \textit{P. Raphaël} and \textit{R. Schweyer}, Math. Ann. 359, No. 1--2, 267--377 (2014; Zbl 1320.35100) Full Text: DOI arXiv
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie On collapsing ring blow-up solutions to the mass supercritical nonlinear Schrödinger equation. (English) Zbl 1292.35283 Duke Math. J. 163, No. 2, 369-431 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 35Q55 35Q51 35B44 PDFBibTeX XMLCite \textit{F. Merle} et al., Duke Math. J. 163, No. 2, 369--431 (2014; Zbl 1292.35283) Full Text: DOI arXiv Euclid
Martel, Yvan; Merle, Frank; Raphaël, Pierre Blow up and near soliton dynamics for the \(L^2\) critical gKdV equation. (English) Zbl 1319.35224 Sémin. Laurent Schwartz, EDP Appl. 2011-2012, Exp. No. XXXVII, 14 p. (2013). MSC: 35Q53 35B44 35Q51 35C08 PDFBibTeX XMLCite \textit{Y. Martel} et al., Sémin. Laurent Schwartz, EDP Appl. 2011--2012, Exp. No. XXXVII, 14 p. (2013; Zbl 1319.35224) Full Text: DOI arXiv
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem. (English) Zbl 1326.35052 Invent. Math. 193, No. 2, 249-365 (2013). Reviewer: Guanggan Chen (Chengdu) MSC: 35B44 35Q55 PDFBibTeX XMLCite \textit{F. Merle} et al., Invent. Math. 193, No. 2, 249--365 (2013; Zbl 1326.35052) Full Text: DOI arXiv
Raphaël, Pierre; Schweyer, Remi Stable blowup dynamics for the 1-corotational energy critical harmonic heat flow. (English) Zbl 1270.35136 Commun. Pure Appl. Math. 66, No. 3, 414-480 (2013). Reviewer: Kungching Chang (Beijing) MSC: 35B44 35K58 PDFBibTeX XMLCite \textit{P. Raphaël} and \textit{R. Schweyer}, Commun. Pure Appl. Math. 66, No. 3, 414--480 (2013; Zbl 1270.35136) Full Text: DOI arXiv
Merle, Frank; Raphaël, Pierre; Rodnianski, Igor Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map. (Dynamique explosive de solutions régulières équivariantes de l’application de Schrödinger map.) (English. Abridged French version) Zbl 1213.35139 C. R., Math., Acad. Sci. Paris 349, No. 5-6, 279-283 (2011). MSC: 35B44 35K59 35K15 PDFBibTeX XMLCite \textit{F. Merle} et al., C. R., Math., Acad. Sci. Paris 349, No. 5--6, 279--283 (2011; Zbl 1213.35139) Full Text: DOI arXiv
Raphaël, Pierre; Szeftel, Jeremie Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS. (English) Zbl 1218.35226 J. Am. Math. Soc. 24, No. 2, 471-546 (2011). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q55 35B35 35B44 35Q41 PDFBibTeX XMLCite \textit{P. Raphaël} and \textit{J. Szeftel}, J. Am. Math. Soc. 24, No. 2, 471--546 (2011; Zbl 1218.35226) Full Text: DOI arXiv
Merle, Frank; Raphaël, Pierre; Szeftel, Jeremie Stable self-similar blow-up dynamics for slightly \(L^{2}\) super-critical NLS equations. (English) Zbl 1204.35153 Geom. Funct. Anal. 20, No. 4, 1028-1071 (2010). Reviewer: Mihai Pascu (Bucureşti) MSC: 35Q55 35B35 35B44 35Q41 35C06 PDFBibTeX XMLCite \textit{F. Merle} et al., Geom. Funct. Anal. 20, No. 4, 1028--1071 (2010; Zbl 1204.35153) Full Text: DOI arXiv