World's Best Scientists 2026 revealed!

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Mathematics

D-Index
64
Citations
12625
World Ranking
426
National Ranking
225

Research.com Recognitions

  • 2014 - Fellow of the American Academy of Arts and Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 1995 - Fellow of Alfred P. Sloan Foundation

Overview

Daniel Tataru is affiliated with the University of California, Berkeley in the United States, specializing in mathematics with a strong focus on mathematical physics and applied mathematics. Their research spans several subfields, including statistical and nonlinear physics, computational mechanics, and oceanography.

The scientist's publication record includes 87 works primarily addressing advanced mathematical physics problems. Specific research topics covered in their work include Navier-Stokes equation solutions, nonlinear waves and solitons, computational fluid dynamics and aerodynamics, ocean waves and remote sensing, stability and controllability of differential equations, and geometric analysis and curvature flows.

Frequent coauthors collaborating with Daniel Tataru include Mihaela Ifrim, Albert Ai, Thomas Alazard, Ben Pineau, and Mitchell A. Taylor.

Notable recent papers demonstrate their engagement with complex differential equations and fluid dynamics:

  • "The threshold conjecture for the energy critical hyperbolic Yang-Mills equation" (2021) published in Annals of Mathematics
  • "Quasilinear Schrödinger Equations III: Large Data and Short Time" (2021) published in Archive for Rational Mechanics and Analysis
  • "The compressible Euler equations in a physical vacuum: A comprehensive Eulerian approach" (2023) published in Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • "The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion" (2022) published in Archive for Rational Mechanics and Analysis
  • "The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions" (2020) published in Pure and Applied Analysis

Daniel Tataru's frequent publication venues reflect a mix of preprint archives and peer-reviewed journals, with multiple contributions to arXiv (Cornell University), Archive for Rational Mechanics and Analysis, Annales de l Institut Henri Poincaré C Analyse Non Linéaire, American Journal of Mathematics, and Inventiones mathematicae.

The scientist has authored a book titled Free Boundary Problems in Fluid Dynamics published by Oberwolfach Seminars in 2024.

Recognitions received by Daniel Tataru include:

  • Fellow of the American Academy of Arts and Sciences (2014)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (1995)

Best Publications

  • Well-posedness for the Navier–Stokes Equations

    Herbert Koch;Daniel Tataru

  • Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping

    I. Lasiecka;D. Tataru

  • Renormalization and blow up for charge one equivariant critical wave maps

    Joachim Krieger;W. Schlag;D. Tataru

  • Local decay of waves on asymptotically flat stationary space-times

    Daniel Tataru

  • STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS

    Gigliola Staffilani;Daniel Tataru

  • DISPERSIVE ESTIMATES FOR PRINCIPALLY NORMAL PSEUDODIFFERENTIAL OPERATORS

    Herbert Koch;Daniel Tataru

  • Global Schrödinger maps in dimensions $d≥ 2$: Small data in the critical Sobolev spaces

    Ioan Bejenaru;Alexandru D. Ionescu;Carlos E. Kenig;Daniel Tataru

  • ON THE REGULARITY OF BOUNDARY TRACES FOR THE WAVE EQUATION

    Daniel Tataru

  • Local and global results for wave maps I

    Daniel Tataru

  • Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation

    Daniel Tataru;Daniel Tataru

  • Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients

    Herbert Koch;Daniel Tataru

  • Slow blow-up solutions for the H1(R3) critical focusing semilinear wave equation

    Joachim Krieger;Wilhelm Schlag;Daniel Tataru

  • Carleman estimates and unique continuation for solutions to boundary value problems

    D. Tataru

  • On global existence and scattering for the wave maps equation

    Daniel Tataru

  • ROUGH SOLUTIONS FOR THE WAVE MAPS EQUATION

    Daniel Tataru

  • Sharp local well-posedness results for the nonlinear wave equation

    Hart F. Smith;Daniel Tataru

  • Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions

    Jacob Sterbenz;Daniel Tataru

  • Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms

    Daniel Tataru

  • Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III

    Daniel Tataru;Daniel Tataru

  • STRICHARTZ ESTIMATES FOR OPERATORS WITH NONSMOOTH COEFFICIENTS AND THE NONLINEAR WAVE EQUATION

    Daniel Tataru

  • A Local Energy Estimate on Kerr Black Hole Backgrounds

    Daniel Tataru;Mihai H. Tohaneanu

  • Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II

    Daniel Tataru

Frequent Co-Authors

Monica Visan
Monica Visan University of California, Los Angeles
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Wilhelm Schlag
Wilhelm Schlag Yale University
Irena Lasiecka
Irena Lasiecka University of Memphis
Maciej Zworski
Maciej Zworski University of California, Berkeley
Michael Christ
Michael Christ University of California, Berkeley
Victor Isakov
Victor Isakov Wichita State University
Sergiu Klainerman
Sergiu Klainerman Princeton University

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