Yvan Martel | Academic Influence

Yvan Martel's AcademicInfluence.com Rankings

Yvan Martel

Mathematics

#3865

World Rank

#5603

Historical Rank

Differential Geometry

#85

World Rank

#101

Historical Rank

Geometry

#182

World Rank

#258

Historical Rank

Group Theory

#272

World Rank

#320

Historical Rank

mathematics Degrees

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Mathematics

Yvan Martel's Degrees

PhD Mathematics Université Paris Cité
Masters Mathematics Université Paris Cité
Bachelors Mathematics Université Paris Cité

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Why Is Yvan Martel Influential?

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According to Wikipedia, Yvan Martel is a French mathematician. Education and career Martel matriculated in 1989 at the École Polytechnique and graduated there in 1992 with an undergraduate degree and in 1993 with a Diplôme d'études approfondies in nonlinear analysis and numerical analysis. At Pierre and Marie Curie University he graduated in 1996 with Thèse de Doctorat under the supervision of Thierry Cazenave. At the Cergy-Pontoise University, Martel habilitated in 2000 with advisor Jean Ginibre.

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Yvan Martel's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An Introduction to Semilinear Evolution Equations (1999) (782)
BLOW UP FOR u, -b,.u = g(u) REVISITED (2005) (199)
Stability and Asymptotic Stability in the Energy Space of the Sum of N Solitons for Subcritical gKdV Equations (2001) (186)
Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations (2001) (182)
Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations (2005) (179)
Blow up for $u_t-\Delta u=g(u)$ revisited (1996) (177)
Asymptotic stability of solitons of the subcritical gKdV equations revisited (2005) (162)
A Liouville theorem for the critical generalized Korteweg–de Vries equation (2000) (157)
Blow up in finite time and dynamics of blow up solutions for the L^2-critical generalized KdV equation (2002) (151)
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation (2004) (147)
Instability of solitons for the critical generalized Korteweg—de Vries equation (2001) (144)
Construction of multi-soliton solutions for the $L^2$-supercritical gKdV and NLS equations (2009) (117)
Multi solitary waves for nonlinear Schrödinger equations (2006) (114)
Kink dynamics in the $\phi^4$ model: asymptotic stability for odd perturbations in the energy space (2015) (98)
Description of two soliton collision for the quartic gKdV equation (2007) (90)
Asymptotic stability of solitons of the gKdV equations with general nonlinearity (2007) (89)
Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton (2014) (89)
Weak Eigenfunctions for the Linearization of Extremal Elliptic Problems (1998) (76)
Stability in $H^1$ of the sum of $K$ solitary waves for some nonlinear Schrödinger equations (2006) (75)
Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations (2010) (71)
Inelastic interaction of nearly equal solitons for the quartic gKdV equation (2009) (65)
Two‐soliton solutions to the three‐dimensional gravitational Hartree equation (2008) (61)
Asymptotic stability of solitons for the Benjamin-Ono equation (2008) (56)
Blow up for the critical gKdV equation III: exotic regimes (2012) (54)
Blow up for the critical gKdV equation II: minimal mass dynamics (2012) (54)
Stability and Asymptotic Stability for Subcritical gKdV Equations (2002) (53)
Stability of Two Soliton Collision for Nonintegrable gKdV Equations (2007) (52)
Nonexistence of small, odd breathers for a class of nonlinear wave equations (2016) (52)
Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KdV Equations (2006) (49)
Minimal mass blow up solutions for a double power nonlinear Schr\"odinger equation (2014) (42)
Nonexistence of blow-up solution with minimal L2-mass for the critical gKdV equation (2002) (40)
Stability of $N$ solitary waves for the generalized BBM equations (2004) (34)
Complete blow up and global behaviour of solutions of ut - Δu = g(u) (1998) (34)
STRONGLY INTERACTING BLOW UP BUBBLES FOR THE MASS CRITICAL NLS (2015) (33)
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation (2018) (33)
Construction of a minimal mass blow up solution of the modified Benjamin–Ono equation (2016) (31)
Description of the Inelastic Collision of Two Solitary Waves for the BBM Equation (2008) (31)
Construction of Multi-Solitons for the Energy-Critical Wave Equation in Dimension 5 (2015) (30)
Multi-travelling waves for the nonlinear Klein-Gordon equation (2016) (29)
Codimension One Threshold Manifold for the Critical gKdV Equation (2015) (27)
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models (2020) (24)
Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces (1997) (24)
Non existence of L2–compact solutions of the Kadomtsev–Petviashvili II equation (2004) (24)
Blow up for the critical gKdV equation I: dynamics near the soliton (2012) (24)
Refined asymptotics around solitons for gKdV equations (2007) (24)
Inelastic interaction of nearly equal solitons for the BBM equation (2009) (20)
Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation (2021) (20)
On asymptotic stability of nonlinear waves (2016) (19)
Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes (2019) (17)
Smoothness and Exponential Decay of L 2-Compact Solutions of the Generalized KdV Equations (2005) (17)
Construction of Multibubble Solutions for the Critical GKDV Equation (2017) (16)
On the nonexistence of pure multi-solitons for the quartic gKdV equation (2014) (16)
Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5 (2019) (14)
Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg—de Vries equation (2011) (13)
Global well-posedness in the energy space for a modified KP II equation via the Miura transform (2006) (13)
Finite-time blowup for a Schrödinger equation with nonlinear source term (2018) (12)
Small time boundary behavior of solutions of parabolic equations with noncompatible data (2000) (9)
Near soliton dynamics and singularity formation for critical problems (2014) (9)
INTERACTION OF SOLITONS FROM THE PDE POINT OF VIEW (2019) (9)
Inelasticity of soliton collisions for the 5D energy critical wave equation (2017) (9)
Blowup on an Arbitrary Compact Set for a Schrödinger Equation with Nonlinear Source Term (2019) (8)
Description and Classification of 2-Solitary Waves for Nonlinear Damped Klein–Gordon Equations (2019) (7)
Sharp asymptotics for the minimal mass blow up solution of critical gKdV equation (2016) (7)
Note on coupled linear systems related to two soliton collision for the quartic gKdV equation. (2008) (7)
Solutions blowing up on any given compact set for the energy subcritical wave equation (2018) (7)
Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation (2020) (6)
Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system (2019) (6)
Blow up and near soliton dynamics for the $L^2$ critical gKdV equation (2011) (5)
Kink dynamics under odd perturbations for (1+1)-scalar field models with one internal mode (2022) (4)
Smoothness and Exponential Decay of L 2-Compact Solutions of the Generalized KdV Equations (2003) (4)
Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode (2021) (4)
Self-similar Blow-Up Profiles for Slightly Supercritical Nonlinear Schrödinger Equations (2019) (3)
Multi–solitons and large time dynamics of some nonlinear dispersive equations (2005) (3)
A WAVE EQUATION WITH A DIRAC DISTRIBUTION (2)
Solutions with Prescribed Local Blow-up Surface for the Nonlinear Wave Equation (2019) (2)
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models (2021) (2)
A WAVE EQUATION WITH A DIRAC DISTRIBUTION (2)
Complete blow up and global behaviour of solutions of $u_t - \Delta u = g (u)$ (1998) (2)
Construction of Multi-Solitons for the Energy-Critical Wave Equation in Dimension 5 (2016) (2)
Finite point blowup for the critical generalized Korteweg-de Vries equation (2021) (1)
Corrigendum to “Multi-travelling waves for the nonlinear Klein-Gordon equation” (2021) (1)
Erratum to “Asymptotic Stability of Solitons for the Subcritical Generalized KdV Equations” (2002) (1)
On the collision of two solitons for the generalized KdV equation in the nonintegrable case (2008) (1)
Full Family of Flattening Solitary Waves for the Critical Generalized KdV Equation (2019) (1)
Multi solitary waves for nonlinear Schrödinger equations Ondes solitaires multiples des équations de Schrödinger nonlinéaires (2006) (0)
Inelasticity of soliton collisions for the 5D energy critical wave equation (2018) (0)
Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation (2021) (0)
Blowup on an Arbitrary Compact Set for a Schrödinger Equation with Nonlinear Source Term (2020) (0)
Construction of a minimal mass blow up solution of the modified Benjamin–Ono equation (2016) (0)
Abstracts Workshop on Nonlinear Dispersive and Geometric Evolution Problems : Singularities and Asymptotics August 17-21 , 2009 Mini-Course 1 Review on the collision of two solitons for the gKdV and BBM equations (2009) (0)
Blow up for a class of quasilinear wave equations in one space dimension (2000) (0)
Non-flat conformal blow-up profiles for the 1D critical nonlinear Schr\"odinger equation (2022) (0)
A P ] 1 J un 2 01 0 Local well-posedness and blow up in the energy space for a class of L 2 critical dispersion generalized (2010) (0)
A ug 2 01 9 DESCRIPTION AND CLASSIFICATION OF 2-SOLITARY WAVES FOR NONLINEAR DAMPED KLEIN-GORDON EQUATIONS (2019) (0)
N ov 2 01 9 SELF-SIMILAR BLOW-UP PROFILES FOR SLIGHTLY SUPERCRITICAL NONLINEAR SCHRÖDINGER EQUATIONS (2019) (0)
Codimension One Threshold Manifold for the Critical gKdV Equation (2015) (0)
Self-similar Blow-Up Profiles for Slightly Supercritical Nonlinear Schrödinger Equations (2021) (0)
Nonexistence of small, odd breathers for a class of nonlinear wave equations (2016) (0)

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