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- Ciprian Foias

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D-index
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
54
Citations
21,303
216
World Ranking
410
National Ranking
216

2000 - Norbert Wiener Prize in Applied Mathematics

- 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.

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

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.

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

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

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.

- 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)

- 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.

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

Stony Brook University

Indiana University

Princeton University

Vrije Universiteit Amsterdam

Texas A&M University

Tel Aviv University

Texas A&M University

University of Minnesota

University of California, Irvine

University of Paris-Sud

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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