D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 58 Citations 10,543 181 World Ranking 452 National Ranking 245

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His primary scientific interests are in Mathematical analysis, Wave equation, Pure mathematics, Energy and Small data. His study in Hyperbolic partial differential equation, Partial differential equation, Sobolev space, Initial value problem and Space are all subfields of Mathematical analysis. His Space study combines topics in areas such as Order, Navier–Stokes equations and Boundary value problem.

His research in Wave equation tackles topics such as Boundary which are related to areas like Geometry. In the subject of general Pure mathematics, his work in Riemannian manifold and Dimension is often linked to Complex system and Identity, thereby combining diverse domains of study. He has researched Energy in several fields, including Equivariant map, Mathematical physics, Lambda, Schwarzschild radius and Harmonic map.

His most cited work include:

  • Well-posedness for the Navier–Stokes Equations (697 citations)
  • Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping (421 citations)
  • Renormalization and blow up for charge one equivariant critical wave maps (218 citations)

What are the main themes of his work throughout his whole career to date?

Daniel Tataru focuses on Mathematical analysis, Energy, Pure mathematics, Space and Mathematical physics. His study in the field of Wave equation and Sobolev space is also linked to topics like Small data. His study on Energy also encompasses disciplines like

  • Well posedness, which have a strong connection to Boundary value problem,
  • Klein–Gordon equation together with Scattering.

He combines subjects such as Type, Eigenfunction and Schrödinger's cat with his study of Pure mathematics. His study in Space is interdisciplinary in nature, drawing from both Initial value problem and Holomorphic function. The concepts of his Mathematical physics study are interwoven with issues in Soliton, Equivariant map and Nonlinear Schrödinger equation.

He most often published in these fields:

  • Mathematical analysis (58.04%)
  • Energy (20.54%)
  • Pure mathematics (20.09%)

What were the highlights of his more recent work (between 2015-2021)?

  • Mathematical analysis (58.04%)
  • Space (19.64%)
  • Small data (15.18%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Mathematical analysis, Space, Small data, Mathematical physics and Nonlinear system. His research integrates issues of Gravitational wave and Energy in his study of Mathematical analysis. His Space research includes elements of Wave packet and Tensor.

His studies deal with areas such as Korteweg–de Vries equation, Soliton, Sequence and Space dimension as well as Mathematical physics. His Soliton research incorporates elements of Minkowski space and Pure mathematics. His Nonlinear system research is multidisciplinary, incorporating perspectives in Scattering, Uniqueness and Inequality.

Between 2015 and 2021, his most popular works were:

  • TWO DIMENSIONAL WATER WAVES IN HOLOMORPHIC COORDINATES (89 citations)
  • Two dimensional water waves in holomorphic coordinates II: global solutions (78 citations)
  • The lifespan of small data solutions in two dimensional capillary water waves (61 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Daniel Tataru mainly focuses on Mathematical analysis, Space, Small data, Mathematical physics and Holomorphic function. The study incorporates disciplines such as Energy and Nonlinear system in addition to Mathematical analysis. His Energy study combines topics from a wide range of disciplines, such as Maxwell stress tensor, Tensor and Pointwise.

Daniel Tataru has included themes like Wave packet, Black hole and Existential quantification in his Space study. His Mathematical physics research incorporates themes from Korteweg–de Vries equation, Space dimension, Norm and Well posedness. Within one scientific family, Daniel Tataru focuses on topics pertaining to Sequence under Well posedness, and may sometimes address concerns connected to Scattering and Klein–Gordon equation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Well-posedness for the Navier–Stokes Equations

Herbert Koch;Daniel Tataru.
Advances in Mathematics (2001)

896 Citations

Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping

I. Lasiecka;D. Tataru.
Differential and Integral Equations (1993)

711 Citations

STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS

Gigliola Staffilani;Daniel Tataru.
Communications in Partial Differential Equations (2002)

248 Citations

Local decay of waves on asymptotically flat stationary space-times

Daniel Tataru.
American Journal of Mathematics (2013)

240 Citations

Renormalization and blow up for charge one equivariant critical wave maps

Joachim Krieger;W. Schlag;D. Tataru.
Inventiones Mathematicae (2008)

237 Citations

DISPERSIVE ESTIMATES FOR PRINCIPALLY NORMAL PSEUDODIFFERENTIAL OPERATORS

Herbert Koch;Daniel Tataru.
Communications on Pure and Applied Mathematics (2005)

212 Citations

ON THE REGULARITY OF BOUNDARY TRACES FOR THE WAVE EQUATION

Daniel Tataru.
Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze (1998)

210 Citations

Local and global results for wave maps I

Daniel Tataru.
Communications in Partial Differential Equations (1998)

201 Citations

Carleman estimates and unique continuation for solutions to boundary value problems

D. Tataru.
Journal de Mathématiques Pures et Appliquées (1996)

199 Citations

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

Ioan Bejenaru;Alexandru D. Ionescu;Carlos E. Kenig;Daniel Tataru.
Annals of Mathematics (2011)

192 Citations

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