World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
9942
World Ranking
2282
National Ranking
964

Research.com Recognitions

  • 2009 - Fellow of Alfred P. Sloan Foundation

Overview

Luis Silvestre is affiliated with the University of Chicago in the United States. Their research primarily focuses on mathematics and computer science, with significant contributions in applied mathematics, mathematical physics, and computational theory. Their work emphasizes topics such as gas dynamics and kinetic theory, numerical methods in inverse problems, and Navier-Stokes equation solutions.

The main fields of study associated with Silvestre include:

  • Mathematics
  • Computer Science

The subfields of study encompass:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Information Systems
  • Sociology and Political Science

The key research topics covered by Silvestre are:

  • Gas Dynamics and Kinetic Theory
  • Numerical methods in inverse problems
  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Advanced Mathematical Modeling in Engineering
  • Spectral Theory in Mathematical Physics
  • Nonlinear Partial Differential Equations

The scientist's recent published works include the following papers:

  • "Global regularity estimates for the Boltzmann equation without cut-off" (2021) in Journal of the American Mathematical Society
  • "Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian" (2022) in Mathematics in Engineering
  • "Entropy dissipation estimates for the Boltzmann equation without cut-off" (2023) in Kinetic and Related Models
  • "The Landau equation does not blow up" (2023) in arXiv (Cornell University)
  • "Regularity for the Boltzmann equation conditional to macroscopic bounds" (2021) in EMS Surveys in Mathematical Sciences

Frequent co-authors working alongside Silvestre include:

  • Cyril Imbert
  • Jamil Chaker
  • Stanley Snelson
  • Renzo Angles
  • Cédric Villani

Common publication venues where Silvestre's research appears are:

  • arXiv (Cornell University)
  • Journal of the American Mathematical Society
  • Mathematics in Engineering
  • Kinetic and Related Models
  • EMS Surveys in Mathematical Sciences

In recognition of their contributions, Silvestre was named a Fellow of the Alfred P. Sloan Foundation in 2009.

Best Publications

  • An Extension Problem Related to the Fractional Laplacian

    Luis A Caffarelli;Luis Silvestre

  • Regularity of the obstacle problem for a fractional power of the laplace operator

    Luis Enrique Silvestre

  • Regularity theory for fully nonlinear integro‐differential equations

    Luis A Caffarelli;Luis Silvestre

  • Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

    Luis A. Caffarelli;Sandro Salsa;Luis Silvestre

  • Uniqueness of Radial Solutions for the Fractional Laplacian

    Rupert L. Frank;Enno Lenzmann;Luis Silvestre

  • Holder estimates for solutions of integra-differential equations like the fractional laplace

    Luis Silvestre

  • Regularity Results for Nonlocal Equations by Approximation

    Luis Caffarelli;Luis Silvestre

  • The Evans-Krylov theorem for nonlocal fully nonlinear equations

    Luis A. Caffarelli;Luis Silvestre

  • On divergence-free drifts

    Gregory Seregin;Luis Silvestre;Vladimír Šverák;Andrej Zlatoš

  • C1,a regularity of solutions of some degenerate fully non-linear elliptic equations

    Cyril Imbert;Luis Silvestre

  • Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations

    Luis Silvestre;Boyan Sirakov

  • THE WEAK HARNACK INEQUALITY FOR THE BOLTZMANN EQUATION WITHOUT CUT-OFF

    Cyril Imbert;Luis Silvestre

  • On the differentiability of the solution to the Hamilton–Jacobi equation with critical fractional diffusion

    Luis Silvestre

  • Estimates on elliptic equations that hold only where the gradient is large

    Cyril Imbert;Luis Silvestre

  • Holder estimates for advection fractional-diffusion equations

    Luis Silvestre

  • Eventual regularization for the slightly supercritical quasi-geostrophic equation

    Luis Silvestre

  • On the differentiability of the solution to an equation with drift and fractional diffusion

    Luis Silvestre

  • Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data

    Emmanouil Milakis;Luis E. Silvestre

  • An Introduction to Fully Nonlinear Parabolic Equations

    Cyril Imbert;Luis Silvestre

  • A New Regularization Mechanism for the Boltzmann Equation Without Cut-Off

    Luis Silvestre

Frequent Co-Authors

Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Cyril Imbert
Cyril Imbert École Normale Supérieure
Vlad Vicol
Vlad Vicol Courant Institute of Mathematical Sciences
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Henri Berestycki
Henri Berestycki Centre d'Analyse et de Mathématique Sociales
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Vladimír Šverák
Vladimír Šverák University of Minnesota
Clément Mouhot
Clément Mouhot University of Cambridge
Gregory Seregin
Gregory Seregin University of Oxford
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University

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