D-Index & Metrics Best Publications

D-Index & Metrics

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 54 Citations 21,303 216 World Ranking 410 National Ranking 216

Research.com Recognitions

Awards & Achievements

2000 - Norbert Wiener Prize in Applied Mathematics

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Hilbert space

Ciprian Foias spends much of his time researching Mathematical analysis, Navier–Stokes equations, Attractor, Turbulence and Partial differential equation. The concepts of his Mathematical analysis study are interwoven with issues in Dimension, Reynolds number, Inertial frame of reference and Galerkin method. His work carried out in the field of Navier–Stokes equations brings together such families of science as Flow and Simultaneous equations.

The study incorporates disciplines such as Statistical physics and Differential equation in addition to Attractor. The various areas that Ciprian Foias examines in his Turbulence study include Upper and lower bounds and Classical mechanics. His study focuses on the intersection of Partial differential equation and fields such as Nonlinear system with connections in the field of Ordinary differential equation.

His most cited work include:

  • Harmonic Analysis of Operators on Hilbert Space (1820 citations)
  • Navier-Stokes equations (1094 citations)
  • Inertial manifolds for nonlinear evolutionary equations (573 citations)

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

The scientist’s investigation covers issues in Mathematical analysis, Navier–Stokes equations, Attractor, Pure mathematics and Turbulence. His research brings together the fields of Nonlinear system and Mathematical analysis. In his work, Spline interpolation is strongly intertwined with Applied mathematics, which is a subfield of Navier–Stokes equations.

Many of his research projects under Attractor are closely connected to Dissipative system with Dissipative system, tying the diverse disciplines of science together. His work in Hilbert space and Commutant lifting theorem is related to Pure mathematics. In general Turbulence study, his work on K-omega turbulence model often relates to the realm of Grashof number, thereby connecting several areas of interest.

He most often published in these fields:

  • Mathematical analysis (42.56%)
  • Navier–Stokes equations (29.17%)
  • Attractor (24.40%)

What were the highlights of his more recent work (between 2010-2019)?

  • Navier–Stokes equations (29.17%)
  • Mathematical analysis (42.56%)
  • Attractor (24.40%)

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

His main research concerns Navier–Stokes equations, Mathematical analysis, Attractor, Norm and Pure mathematics. His studies deal with areas such as Space and Applied mathematics as well as Navier–Stokes equations. His studies deal with areas such as Turbulence and Normalization as well as Mathematical analysis.

Ciprian Foias focuses mostly in the field of Attractor, narrowing it down to topics relating to Ordinary differential equation and, in certain cases, Lyapunov function and Finite element method. He interconnects Upper and lower bounds, Taylor series and Periodic boundary conditions in the investigation of issues within Norm. His work on Hilbert space as part of general Pure mathematics study is frequently linked to Diagonalizable matrix, bridging the gap between disciplines.

Between 2010 and 2019, his most popular works were:

  • A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics (53 citations)
  • A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case (28 citations)
  • Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations (26 citations)

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

  • Mathematical analysis
  • Algebra
  • Hilbert space

Ciprian Foias mainly investigates Navier–Stokes equations, Mathematical analysis, Attractor, Norm and Finite volume method. His Navier–Stokes equations research is multidisciplinary, incorporating perspectives in Space, Ode, Applied mathematics and Ordinary differential equation. His work deals with themes such as Ergodic theory, Measure, Weak solution and Borel set, which intersect with Applied mathematics.

The various areas that Ciprian Foias examines in his Ordinary differential equation study include Dynamical system, Lyapunov function, Finite element method, Ball and Lipschitz continuity. Ciprian Foias is interested in Sobolev space, which is a branch of Mathematical analysis. His research in Attractor intersects with topics in Pure mathematics and Periodic boundary conditions.

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

Harmonic Analysis of Operators on Hilbert Space

Béla Szőkefalvi-Nagy;Ciprian Foiaş;Hari Bercovici;László Kérchy.
(2010)

3324 Citations

Navier-Stokes equations

Peter Constantin;Ciprian Foias.
(1988)

2233 Citations

Navier-Stokes Equations and Turbulence

C. Foias;O. Manley;R. Rosa;R. Temam.
(2008)

950 Citations

Inertial manifolds for nonlinear evolutionary equations

Ciprian Foias;George R Sell;Roger Temam.
Journal of Differential Equations (1988)

886 Citations

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

P. Constantin;C. Foias;B. Nicolaenko;R. Teman.
(1988)

775 Citations

The commutant lifting approach to interpolation problems

Ciprian Foiaş;Arthur E. Frazho.
(1990)

742 Citations

Gevrey class regularity for the solutions of the Navier-Stokes equations

C Foias;R Temam.
Journal of Functional Analysis (1989)

583 Citations

Theory of generalized spectral operators

Ion Colojoara;Ciprian Foiaş.
(1968)

583 Citations

Attractors representing turbulent flows

P. Constantin;Ciprian Foiaş;Roger Temam.
(1985)

560 Citations

The Navier–Stokes-alpha model of fluid turbulence

Ciprian Foias;Darryl D. Holm;Edriss S. Titi.
Physica D: Nonlinear Phenomena (2001)

467 Citations

Best Scientists Citing Ciprian Foias

Edriss S. Titi

Edriss S. Titi

Texas A&M University

Publications: 230

Roger Temam

Roger Temam

Indiana University

Publications: 85

Joseph A. Ball

Joseph A. Ball

Virginia Tech

Publications: 80

Darryl D. Holm

Darryl D. Holm

Imperial College London

Publications: 63

Hitay Özbay

Hitay Özbay

Bilkent University

Publications: 54

John D. Gibbon

John D. Gibbon

Imperial College London

Publications: 46

Allen Tannenbaum

Allen Tannenbaum

Stony Brook University

Publications: 42

Ioannis G. Kevrekidis

Ioannis G. Kevrekidis

Johns Hopkins University

Publications: 38

Marinus A. Kaashoek

Marinus A. Kaashoek

Vrije Universiteit Amsterdam

Publications: 36

Sergey Zelik

Sergey Zelik

University of Surrey

Publications: 35

Igor Kukavica

Igor Kukavica

University of Southern California

Publications: 34

Peter Constantin

Peter Constantin

Princeton University

Publications: 34

Tryphon T. Georgiou

Tryphon T. Georgiou

University of California, Irvine

Publications: 32

Malcolm C. Smith

Malcolm C. Smith

University of Cambridge

Publications: 30

Igor Chueshov

Igor Chueshov

V. N. Karazin Kharkiv National University

Publications: 28

William Layton

William Layton

University of Pittsburgh

Publications: 27

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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