D-Index & Metrics Best Publications
Mathematics
USA
2023

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 80 Citations 50,135 503 World Ranking 89 National Ranking 51

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

2015 - Fellow of the American Academy of Arts and Sciences

2013 - Fellow of the American Mathematical Society

2011 - Fellow of the American Association for the Advancement of Science (AAAS)

2009 - SIAM Fellow For contributions to differential equations, numerical analysis, and the Navier-Stokes equations.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Partial differential equation
  • Geometry

His primary scientific interests are in Mathematical analysis, Navier–Stokes equations, Attractor, Nonlinear system and Boundary value problem. His study involves Euler equations, Partial differential equation, Simultaneous equations, Independent equation and Fractal dimension, a branch of Mathematical analysis. His Navier–Stokes equations research integrates issues from Reynolds-averaged Navier–Stokes equations, Nonlinear functional analysis, Uniqueness theorem for Poisson's equation, Applied mathematics and Stokes' law.

His Attractor research includes elements of Turbulence, Dynamical systems theory, Invariant and Differential equation. His Nonlinear system study incorporates themes from Numerical analysis, Uniqueness and Mathematical physics. The study incorporates disciplines such as Boundary, Primitive equations and Eigenvalues and eigenvectors in addition to Boundary value problem.

His most cited work include:

  • Infinite-Dimensional Dynamical Systems in Mechanics and Physics (4232 citations)
  • Navier-Stokes Equations: Theory and Numerical Analysis (3176 citations)
  • Navier-Stokes Equations (3068 citations)

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

His primary areas of study are Mathematical analysis, Navier–Stokes equations, Nonlinear system, Attractor and Applied mathematics. His Mathematical analysis study deals with Boundary intersecting with Boundary layer. His research investigates the connection between Navier–Stokes equations and topics such as Euler equations that intersect with issues in Numerical partial differential equations.

His Attractor research is multidisciplinary, incorporating perspectives in Dynamical systems theory, Inertial frame of reference, Classical mechanics, Pure mathematics and Dissipative system. His Applied mathematics course of study focuses on Discretization and Finite element method. His Boundary value problem study combines topics in areas such as Shallow water equations, Uniqueness and Inviscid flow.

He most often published in these fields:

  • Mathematical analysis (64.86%)
  • Navier–Stokes equations (19.10%)
  • Nonlinear system (18.56%)

What were the highlights of his more recent work (between 2012-2021)?

  • Mathematical analysis (64.86%)
  • Uniqueness (9.73%)
  • Boundary value problem (14.77%)

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

Roger Temam mainly investigates Mathematical analysis, Uniqueness, Boundary value problem, Boundary and Domain. His Mathematical analysis study combines topics from a wide range of disciplines, such as Inviscid flow and Boundary layer. He has researched Uniqueness in several fields, including Local martingale, Partial differential equation, Space dimension and Variational inequality, Applied mathematics.

His work deals with themes such as Stochastic partial differential equation, Navier–Stokes equations and Discretization, which intersect with Applied mathematics. His Boundary value problem study integrates concerns from other disciplines, such as Supercritical fluid, Rectangle, Euler equations and Nonlinear system. The Pure mathematics study combines topics in areas such as Finite difference and Attractor.

Between 2012 and 2021, his most popular works were:

  • Attractors for processes on time-dependent spaces. Applications to wave equations (29 citations)
  • The primitive equations of the atmosphere in presence of vapour saturation (28 citations)
  • The primitive equations of the atmosphere in presence of vapor saturation (27 citations)

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

  • Mathematical analysis
  • Partial differential equation
  • Geometry

Roger Temam focuses on Mathematical analysis, Boundary value problem, Uniqueness, Navier–Stokes equations and Shallow water equations. His studies in Mathematical analysis integrate themes in fields like Boundary, Boundary layer and Nonlinear system. His Boundary value problem research includes elements of Martingale, Rectangle, Korteweg–de Vries equation and Curvilinear coordinates.

The concepts of his Uniqueness study are interwoven with issues in Local martingale, Martingale difference sequence and Doob's martingale inequality. His research integrates issues of Order, Work, Strong solutions and Applied mathematics in his study of Navier–Stokes equations. His study looks at the intersection of Strong solutions and topics like Ordinary differential equation with Attractor.

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

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

Roger Temam.
(1993)

8736 Citations

Navier-Stokes Equations: Theory and Numerical Analysis

Roger Temam.
(1979)

5479 Citations

Navier-Stokes Equations

Roger Temam.
(1977)

5385 Citations

Navier-Stokes Equations and Nonlinear Functional Analysis

Roger Temam.
(1987)

1836 Citations

Some mathematical questions related to the MHD equations

Michel Sermange;Roger Temam.
Communications on Pure and Applied Mathematics (1983)

1304 Citations

Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (II)

R. Témam.
Archive for Rational Mechanics and Analysis (1969)

1289 Citations

Analyse convexe et problèmes variationnels

Ivar Ekeland;Roger Temam.
(1974)

1031 Citations

Navier-Stokes Equations and Turbulence

C. Foias;O. Manley;R. Rosa;R. Temam.
(2009)

997 Citations

Inertial manifolds for nonlinear evolutionary equations

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

994 Citations

Some mathematical questions related to the MHD equations

M. Sermange;R. Temam.
Computer Compacts (1983)

926 Citations

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