Alexis Vasseur | Academic Influence

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Alexis Vasseur

Mathematics

#8024

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#10899

Historical Rank

Algebraic Geometry

#186

World Rank

#194

Historical Rank

Measure Theory

#3010

World Rank

#3577

Historical Rank

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Mathematics

Alexis Vasseur's Degrees

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

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Why Is Alexis Vasseur Influential?

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According to Wikipedia, Alexis Vasseur is a French-American mathematician, specializing in fluid mechanics. He is currently the John T. Stuart III Professor at University of Texas at Austin. In 2015 he was named as a Fellow of the American Mathematical Society.

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Alexis Vasseur'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

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation (2006) (862)
On the Barotropic Compressible Navier–Stokes Equations (2007) (262)
Strong Traces for Solutions of Multidimensional Scalar Conservation Laws (2001) (200)
A Parabolic Problem with a Fractional Time Derivative (2015) (174)
Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier-Stokes Equations (2008) (164)
Regularity theory for parabolic nonlinear integral operators (2011) (157)
Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations (2015) (150)
A new proof of partial regularity of solutions to Navier-Stokes equations (2007) (146)
Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations (2008) (145)
Equilibrium schemes for scalar conservation laws with stiff sources (2003) (131)
GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS (2007) (128)
Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime (2004) (126)
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation (2016) (122)
Regularity analysis for systems of reaction-diffusion equations (2010) (76)
Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations (2010) (73)
Global weak solution to the viscous two-fluid model with finite energy (2017) (72)
From Kinetic Equations to Multidimensional Isentropic Gas Dynamics Before Shocks (2005) (71)
Global Weak Solutions to the Compressible Quantum Navier-Stokes Equations with Damping (2015) (64)
Regularity criterion for 3d navier-stokes equations in terms of the direction of the velocity (2007) (62)
Classical and quantum transport in random media (2003) (61)
The Beker-Döring System and Its Lifshitz-Slyozov Limit (2002) (57)
New Perspectives in Fluid Dynamics: Mathematical Analysis of a Model Proposed by Howard Brenner (2009) (53)
Global weak solutions to the compressible quantum Navier–Stokes equation and its semi-classical limit (2016) (50)
Strong Traces for Solutions to Scalar Conservation Laws with General Flux (2007) (49)
Porous medium flow with both a fractional potential pressure and fractional time derivative (2015) (46)
Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations (2007) (46)
Global Regularity of Solutions to Systems of Reaction–Diffusion with Sub-Quadratic Growth in Any Dimension (2009) (43)
The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics (2010) (39)
On the isentropic compressible Navier-Stokes equation (2005) (38)
From Discrete Velocity Boltzmann Equations to Gas Dynamics Before Shocks (2009) (38)
Time regularity for the system of isentropic gas dynamics with γ= 3 (1999) (38)
Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations (2009) (37)
Solutions of the 4-species quadratic reaction-diffusion system are bounded and C∞-smooth, in any space dimension (2017) (36)
Asymptotic analysis of Vlasov-type equations under strong local alignment regime (2014) (33)
$L^2$-contraction for shock waves of scalar viscous conservation laws (2014) (32)
$L^2$-type contraction for systems of conservation laws (2014) (30)
THE DE GIORGI METHOD FOR ELLIPTIC AND PARABOLIC EQUATIONS AND SOME APPLICATIONS (2014) (30)
Stability of the Isentropic Riemann Solutions of the Full Multidimensional Euler System (2014) (30)
Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws (2015) (29)
About the relative entropy method for hyperbolic systems of conservation laws (2014) (28)
L2-TYPE CONTRACTION FOR SYSTEMS OF CONSERVATION LAWS (2014) (28)
Contraction property for large perturbations of shocks of the barotropic Navier–Stokes system (2017) (27)
Relative entropy and contraction for extremal shocks of Conservation Laws up to a shift (2013) (27)
Short-Time Stability of Scalar Viscous Shocks in the Inviscid Limit by the Relative Entropy Method (2012) (25)
Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems (2019) (25)
Weak in Space, Log in Time Improvement of the Ladyženskaja–Prodi–Serrin Criteria (2009) (25)
Some Remarks on Large-Time Asymptotic of the Lifshitz–Slyozov Equations (2002) (24)
Well-posedness of scalar conservation laws with singular sources (2002) (24)
Estimates on fractional higher derivatives of weak solutions for the Navier–Stokes equations (2011) (23)
Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities (2019) (23)
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with \gamma=3 (1999) (23)
Higher derivatives estimate for the 3D Navier–Stokes equation (2009) (21)
The Inviscid Limit to a Contact Discontinuity for the Compressible Navier-Stokes-Fourier System Using the Relative Entropy Method (2015) (19)
Regularity theory for nonlinear integral operators (2010) (19)
Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model (2019) (18)
L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws (2016) (18)
Regularization in Keller-Segel type systems and the De Giorgi method (2012) (18)
On Spherically Symmetric Motions Of a Viscous Compressible Barotropic and Selfgravitating Gas (2011) (18)
On global motions of a compressible barotropic and selfgravitating gas with density-dependent viscosities (2010) (17)
Partial Regularity in Time for the Space-Homogeneous Landau equation with Coulomb Potential (2019) (17)
Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier–Stokes equations with density dependent viscous coefficient (2016) (17)
The relative entropy method for the stability of intermediate shock waves; the rich case (2016) (16)
Global Weak Solutions to the Inviscid 3D Quasi-Geostrophic Equation (2014) (16)
Global in Time Classical Solutions to the 3D Quasi-Geostrophic System for Large Initial Data (2016) (16)
On uniqueness of solutions to conservation laws verifying a single entropy condition (2017) (15)
A discontinuous Galerkin method for viscous compressible multifluids (2010) (15)
H\"{o}lder regularity for hypoelliptic kinetic equations with rough diffusion coefficients (2015) (14)
Lp estimates for quantities advected by a compressible flow (2006) (14)
A bound from below for the temperature in compressible Navier–Stokes equations (2009) (13)
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics (2021) (13)
Chapter 7 Recent Results on Hydrodynamic Limits (2008) (13)
The De Giorgi Method for Nonlocal Fluid Dynamics (2012) (13)
Electric turbulence in a plasma subject to a strong magnetic field (2005) (12)
Kinetic Semidiscretization of Scalar Conservation Laws and Convergence by Using Averaging Lemmas (1999) (12)
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation (2010) (11)
Blow-Up Solutions to 3D Euler are Hydrodynamically Unstable (2019) (10)
Convergence of a semi-discrete kinetic scheme for the system of isentropic gas dynamics with = 3 (1998) (10)
De Giorgi Techniques Applied to Hamilton-Jacobi Equations with Unbounded Right-Hand Side (2017) (10)
EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS FOR A COMPRESSIBLE MULTIPHASE NAVIER–STOKES MISCIBLE FLUID-FLOW PROBLEM IN DIMENSION n = 1 (2008) (9)
Stability and Uniqueness for Piecewise Smooth Solutions to a Nonlocal Scalar Conservation Law with Applications to Burgers-Hilbert Equation (2020) (9)
Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier–Stokes–Fourier System (2020) (8)
Second Derivatives Estimate of Suitable Solutions to the 3D Navier–Stokes Equations (2020) (7)
Quantum hydrodynamics with trajectories: The nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry (2009) (7)
Hölder Regularity up to the Boundary for Critical SQG on Bounded Domains (2019) (7)
Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model (2019) (7)
On a Model for Mixture Flows: Derivation, Dissipation and Stability Properties (2016) (7)
Stability and uniqueness for piecewise smooth solutions to Burgers-Hilbert among a large class of solutions (2019) (7)
De Giorgi Techniques Applied to The Holder Regularity of Solutions to Hamilton-Jacobi Equations (2014) (7)
Asymptotic limit to a shock for BGK models using relative entropy method (2015) (7)
Classical solutions for the 3D quasi-geostrophic system on a bounded domain (2019) (7)
Global Smooth Solutions for 1D Barotropic Navier–Stokes Equations with a Large Class of Degenerate Viscosities (2019) (6)
Uniqueness and Weak-BV Stability for 2 × 2 Conservation Laws (2022) (6)
Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits (2020) (6)
Rigorous derivation of the Kinetic/Fluid coupling involving a Kinetic layer on a toy problem (2009) (6)
STUDY OF A GENERALIZED FRAGMENTATION MODEL FOR SPRAYS (2009) (5)
Relative entropy applied to the stability of viscous shocks up to a translation for scalar conservation laws (2012) (5)
A Bound from Below on the Temperature for the Navier-Stokes-Fourier System (2013) (5)
On the Exponential Decay for Compressible Navier–Stokes–Korteweg Equations with a Drag Term (2020) (5)
The Inviscid Three Dimensional Quasi-Geostrophic System on Bounded Domains (2018) (5)
Single Entropy Condition for Burgers Equation via the Relative Entropy Method (2017) (4)
Inviscid limit to the shock waves for the fractal Burgers equation (2019) (4)
On the convergence of numerical schemes for the Boltzmann equation (2003) (4)
A Rigorous Derivation of the Coupling of a Kinetic Equation and Burgers’ Equation (2012) (4)
Existence of Global Weak Solutions for 2D Shallow Water Equations with its degenerate viscosity (2015) (4)
SOME RECENT RESULTS ON THE KINETIC THEORY OF PHASE TRANSITIONS (2004) (3)
Homogenization of a nonlinear transport equation (2007) (3)
Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation (2017) (3)
Instability for axisymmetric blow-up solutions to incompressible Euler equations (2020) (3)
Sharp a-contraction estimates for small extremal shocks (2020) (3)
Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with γ=3 (2000) (3)
Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations (2021) (2)
Uniqueness and Weak-BV Stability for $$2\times 2$$ Conservation Laws (2020) (2)
Boundary Vorticity Estimates for Navier-Stokes and Application to the Inviscid Limit (2021) (2)
The Inviscid Three Dimensional Quasi-Geostrophic System on Bounded Domains (2019) (2)
Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations (2016) (2)
Local regularity for the space-homogeneous Landau equation with very soft potentials (2022) (2)
FROM KINETIC EQUATIONS TO MULTIDIMENSIONAL ISENTROPIC GAS DYNAMICS (2005) (1)
Porous medium flow with both a fractional potential pressure and fractional time derivative (2017) (1)
Relative entropy method applied to model reduction in fluid mechanics (2012) (0)
The 3D Euler and 2D surface quasi-geostrophic equations (2019) (0)
Criticality and stochasticity in quasilinear fluid systems (2021) (0)
Global Smooth Solutions for 1D Barotropic Navier–Stokes Equations with a Large Class of Degenerate Viscosities (2020) (0)
Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws (2016) (0)
A P ] 1 0 A ug 2 01 9 GLOBAL SMOOTH SOLUTIONS FOR 1 D BAROTROPIC NAVIER-STOKES EQUATIONS WITH A LARGE CLASS OF DEGENERATE VISCOSITIES (2019) (0)
Blow-Up Solutions to 3D Euler are Hydrodynamically Unstable (2020) (0)
Global Weak Solutions to the Inviscid 3D Quasi-Geostrophic Equation (2015) (0)
A Parabolic Problem with a Fractional Time Derivative (2016) (0)
Almost sure convergence for transport in random media (2018) (0)
Uniform stability of traveling waves for 1D viscous hyperbolic system of two conservation laws (2019) (0)
On a Model for Mixture Flows: Derivation, Dissipation and Stability Properties (2015) (0)
A Rigorous Derivation of the Coupling of a Kinetic Equation and Burgers’ Equation (2012) (0)
Hölder Regularity up to the Boundary for Critical SQG on Bounded Domains (2020) (0)
Stationary solutions for the Boltzmann-Vlasov-Poisson equations; hydrodynamic limit in a half line (2007) (0)
Statistical Stability for Transport in Random Media (2019) (0)
L-type contraction for systems of conservation laws (2013) (0)
N ov 2 00 5 On the isentropic compressible Navier-Stokes equation (2008) (0)
Classical and quantum transport in random med (2003) (0)
A review of recent applications of the relative entropy method to discontinuous solutions of conservation laws (2023) (0)
Layer separation of the 3D incompressible Navier-Stokes equation in a bounded domain (2023) (0)
Stability of discontinuous solutions for inviscid compressible flows (2021) (0)
Global in Time Classical Solutions to the 3D Quasi-Geostrophic System for Large Initial Data (2017) (0)

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