Faculty

Institution

Unit

Venue

Luis A. Caffarelli

Professor of Mathematics

University of Texas at Austin

Affiliations

College of Natural Sciences

Mathematics

Luis A. Caffarelli is currently serving as a College Of Natural Sciences Professor of Mathematics at University of Texas At Austin.

Honors

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Experiences

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Education

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Luis A. Caffarelli

University of Texas at Austin

Professor of Mathematics

You can click a keyword to filter the displayed items

applied mathematics mathematics mathematical analysis communication pure mathematics fluid dynamics applied physics numerical analysis free boundary mathematical physics mathematical sciences graph theory communication theory monge-ampere equation free boundaries number theory free boundary problems mathematical optimization theoretical analysis applied algebra homogenization (chemistry) dirichlet problem analytic number theory viscosity solutions fractional calculus boundary value problems nonlinear elliptic equations optimal transport discrete dynamical systems flame propagation fractional laplacian interface science numerical mathematics hydraulics hydraulic engineering boundary layers engineering mathematics theoretical mathematics regularity theory nonlinear integro-differential equations nonlocal minimal surfaces porous medium flow optimal regularity minimal surfaces porous medium equation weak solutions thermal engineering porous materials information theory elasticity (physics) mathematical economics elliptic equations wave theory oscillation theory pore structure porosity fractional diffusion engineering optimization nonlinear analysis fourier analysis information diffusion chaos theory dynamical analysis mathematical chemistry hydrodynamic cavitation temporal data thermal insulation singularly perturbed problem fractional stochastics energy minimization nonlinear optimization non-linear analysis

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Pde Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation. Archive for Rational Mechanics and Analysis (2024)

Luis A. CaffarelliPablo Raúl StingaHernán Vivas

particle physicsdifferential geometryphysicssurface sciencegeometry and topology

Editorial Board. Brachytherapy (2024)

A SyedMichael ZelefskyBethany AndersonGastrointestinal StrnadSteven FrankMatthew HarkenriderMitchell KamravaEye HeadPhillip DevlinChirag ShahGilad CohenMark RivardInvited FeaturesScott GlaserUsa TheranosticsNeil TaunkJaroslaw HepelJean Michael Hannoun-LeviFrance GastrointestinalPeter HassAlexandra StewartAmandeep TaggarMira KeyesGerard MortonPeter OrioChad TangEmma FieldsEric LeungWilliam SmallNeck SkinAngeles RovirosaLuca TagliaferriNikhil JoshiMartin TomAntonio DamatoChristopher DeufelDaniel ScanderbegDavid Aramburu NúñezIvan BuzurovicMauricio CambeiroMark CorkumJean-Marc CossetBrett CoxJuanita CrookJoao LuisDa SilvaBrian DavisLaura DoylePatricia EifelShirin EngerGabriel FonsecaRazvan GalalaeJose GuinotChristina GutiérrezLara HathoutEric HorwitzPeter HoskinJun ItamiChristian KirisitsManon KisselMarisa KollmeierRajat KudchadkerUsama MahmoodPatrick MclaughlinKevin MartellCanada Victor Munoz-GarzonBradley PietersCsaba PolgarAron PopovtzerLouis PottersBradley PrestidgeMarcus RandallSusan RichardsonMack RoachSimona ShaitelmanFrank-Andre SiebertNelson StoneEric VigneaultAkila ViswanathanTe VuongJunjie WangChina WernickeCatheryn YasharAtsunori YoruzuDavid Newcombe

On a Family of Fully Nonlinear Integrodifferential Operators: From Fractional Laplacian to Nonlocal Monge–Ampère. Analysis & PDE (2024)

Luis A. CaffarelliMaría Soria-Carro

mathematical analysisfractional laplaciannonlinear integrodifferential operatorsapplied mathematics

Foreword. Academic Studies Press eBooks (2022)

Paul Freedman

Global $$C^{1,\Alpha }$$ Regularity for Monge–AmpèRe Equation and Convex Envelope. Archive for Rational Mechanics and Analysis (2022)

Luis A. CaffarelliLan TangXu-Jia Wang

mathematical analysisconvex envelopemonge-ampere equationapplied mathematics

Singular Solutions to Monge-AmpèRe Equation. Analysis in Theory and Applications (2022)

Luis A. Caffarelli Luis A. CaffarelliYu Yuan Yu Yuan

monge-ampere equationfunctional analysistheoretical analysissingular solutionsmathematicsmathematical analysisapplied mathematics

The Two-Phase Stefan Problem With Anomalous Diffusion. Advances in Mathematics (2022)

Ioannis AthanasopoulosLuis CaffarelliEmmanouil Milakis

numerical analysisanomalous diffusionmathematicstwo-phase stefan problemapplied mathematics

Fully Nonlinear Equations With Applications to Grad Equations in Plasma Physics. Communications on Pure and Applied Mathematics (2021)

Luis A. CaffarelliIgnacio Tomasetti

applied mathematics

Regularity for $$C^{1,\Alpha }$$ Interface Transmission Problems. Archive for Rational Mechanics and Analysis (2021)

Luis A. CaffarelliMaría Soria-CarroPablo Raúl Stinga

interface transmission problemsapplied mathematicscomputational mechanics

The Leading Edge of a Free Boundary Interacting With a Line of Fast Diffusion. St Petersburg Mathematical Journal (2021)

L. CaffarelliJ.-M. Roquejoffre

mathematicsmathematical analysisfree boundaryapplied mathematicsfast diffusion

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Luis A. Caffarelli

Professor of Mathematics

University of Texas at Austin

Affiliations

College of Natural Sciences

Mathematics

Luis A. Caffarelli is currently serving as a College Of Natural Sciences Professor of Mathematics at University of Texas At Austin.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Luis A. Caffarelli

University of Texas at Austin

Professor of Mathematics

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Pde Approach to the Existence and Regularity of Surfaces of Minimum Mean Curvature Variation. Archive for Rational Mechanics and Analysis (2024)

Luis A. CaffarelliPablo Raúl StingaHernán Vivas

particle physicsdifferential geometryphysicssurface sciencegeometry and topology

Editorial Board. Brachytherapy (2024)

On a Family of Fully Nonlinear Integrodifferential Operators: From Fractional Laplacian to Nonlocal Monge–Ampère. Analysis & PDE (2024)

Luis A. CaffarelliMaría Soria-Carro

mathematical analysisfractional laplaciannonlinear integrodifferential operatorsapplied mathematics

Foreword. Academic Studies Press eBooks (2022)

Paul Freedman

Global $$C^{1,\Alpha }$$ Regularity for Monge–AmpèRe Equation and Convex Envelope. Archive for Rational Mechanics and Analysis (2022)

Luis A. CaffarelliLan TangXu-Jia Wang

mathematical analysisconvex envelopemonge-ampere equationapplied mathematics

Singular Solutions to Monge-AmpèRe Equation. Analysis in Theory and Applications (2022)

Luis A. Caffarelli Luis A. CaffarelliYu Yuan Yu Yuan

monge-ampere equationfunctional analysistheoretical analysissingular solutionsmathematicsmathematical analysisapplied mathematics

The Two-Phase Stefan Problem With Anomalous Diffusion. Advances in Mathematics (2022)

Ioannis AthanasopoulosLuis CaffarelliEmmanouil Milakis

numerical analysisanomalous diffusionmathematicstwo-phase stefan problemapplied mathematics

Fully Nonlinear Equations With Applications to Grad Equations in Plasma Physics. Communications on Pure and Applied Mathematics (2021)

Luis A. CaffarelliIgnacio Tomasetti

applied mathematics

Regularity for $$C^{1,\Alpha }$$ Interface Transmission Problems. Archive for Rational Mechanics and Analysis (2021)

Luis A. CaffarelliMaría Soria-CarroPablo Raúl Stinga

interface transmission problemsapplied mathematicscomputational mechanics

The Leading Edge of a Free Boundary Interacting With a Line of Fast Diffusion. St Petersburg Mathematical Journal (2021)

L. CaffarelliJ.-M. Roquejoffre

mathematicsmathematical analysisfree boundaryapplied mathematicsfast diffusion

1
2
3
4
5
25
10 / page

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