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Mathematics

D-Index
66
Citations
26037
World Ranking
351
National Ranking
191

Research.com Recognitions

  • 2000 - Norbert Wiener Prize in Applied Mathematics

Overview

Ciprian Foias was affiliated with Texas A&M University in the United States. Their research contributions primarily spanned the fields of Computer Science and Engineering.

Their work encompassed several subfields of study, including:

  • Computational Theory and Mathematics
  • Applied Mathematics
  • Computational Mechanics
  • Statistical and Nonlinear Physics
  • Biomedical Engineering

Main topics addressed in their research included:

  • Advanced Mathematical Modeling in Engineering
  • Navier-Stokes equation solutions
  • Fluid Dynamics and Turbulent Flows
  • Advanced Thermodynamics and Statistical Mechanics
  • Elasticity and Material Modeling

The researcher coauthored multiple publications with others, notably including:

  • Luan Hoang
  • Michael S. Jolly

Significant recent papers by Ciprian Foias were:

  • On Galerkin approximations of the Navier-Stokes equations in the limit of large Grashof numbers, 2024, published in Communications on Pure & Applied Analysis
  • On Galerkin approximations of the Navier-Stokes equations in the limit of large Grashof numbers, 2023, published in arXiv (Cornell University)

Publications appeared chiefly in the following venues:

  • Communications on Pure & Applied Analysis
  • arXiv (Cornell University)

Ciprian Foias was awarded the Norbert Wiener Prize in Applied Mathematics in 2000.

Best Publications

  • Harmonic Analysis of Operators on Hilbert Space

    Béla Szőkefalvi-Nagy;Ciprian Foiaş;Hari Bercovici;László Kérchy

  • Navier-Stokes equations

    Peter Constantin;Ciprian Foias

  • Inertial manifolds for nonlinear evolutionary equations

    Ciprian Foias;George R Sell;Roger Temam

  • Navier-Stokes Equations and Turbulence

    C. Foias;O. Manley;R. Rosa;R. Temam

  • Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

    P. Constantin;C. Foias;B. Nicolaenko;R. Teman

  • The commutant lifting approach to interpolation problems

    Ciprian Foiaş;Arthur E. Frazho

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

    C Foias;R Temam

  • Navier-Stokes Equations and Turbulence by C. Foias

    C. Foias;O. Manley;R. Rosa;R. Temam

  • Theory of generalized spectral operators

    Ion Colojoara;Ciprian Foiaş

  • Attractors representing turbulent flows

    P. Constantin;Ciprian Foiaş;Roger Temam

  • The Navier–Stokes-alpha model of fluid turbulence

    Ciprian Foias;Darryl D. Holm;Edriss S. Titi

  • The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory

    Ciprian Foias;Ciprian Foias;Darryl D. Holm;Edriss S. Titi

  • Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension $2$

    C. Foias;G. Prodi

  • Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow

    Shiyi Chen;Ciprian Foias;Ciprian Foias;Darryl D. Holm;Eric Olson;Eric Olson

  • Modelling of the interaction of small and large eddies in two dimensional turbulent flows

    C. Foias;O. Manley;R. Temam

  • Robust Control of Infinite Dimensional Systems: Frequency Domain Methods

    C. Foias;Hitay Ozbay;Allen R. Tannenbaum;M. Thoma

  • Exponential Tracking and Approximation of Inertial Manifolds for Dissipative Nonlinear Equations

    Ciprian Foias;George R. Sell;Edriss S. Titi

  • Attractors for the Be´nard problem: existence and physical bounds on their fractal dimension

    C. Foias;O. Manley;R. Temam

  • Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations

    Peter Constantin;C. Foias

  • Dual Algebras with Applications to Invariant Subspaces and Dilation Theory

    Hari Bercovici;Ciprian Foiaş;Carl Pearcy

Frequent Co-Authors

Allen Tannenbaum
Allen Tannenbaum Stony Brook University
Roger Temam
Roger Temam Indiana University
Peter Constantin
Peter Constantin Princeton University
Edriss S. Titi
Edriss S. Titi Texas A&M University
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Israel Gohberg
Israel Gohberg Tel Aviv University
Ronald G. Douglas
Ronald G. Douglas Texas A&M University
George R. Sell
George R. Sell University of Minnesota
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
Tryphon T. Georgiou
Tryphon T. Georgiou University of California, Irvine

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