H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 74 Citations 18,278 359 World Ranking 87 National Ranking 53

Research.com Recognitions

Awards & Achievements

2018 - Fellow of John Simon Guggenheim Memorial Foundation

2013 - Fellow of the American Mathematical Society

2012 - SIAM Fellow For analytical and computational studies of nonlinear partial differential equations with applications to fluid mechanics and geophysics.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Partial differential equation

The scientist’s investigation covers issues in Mathematical analysis, Navier–Stokes equations, Nonlinear system, Turbulence and Classical mechanics. His Mathematical analysis research integrates issues from Compressibility and Galerkin method. His Navier–Stokes equations research incorporates elements of Forcing, Dynamical system, Lorenz system, Periodic boundary conditions and Space.

The Nonlinear system study combines topics in areas such as Partial differential equation, Brownian motion, Stability and Dissipative system. His work in the fields of K-omega turbulence model and Reynolds number overlaps with other areas such as Ideal. Edriss S. Titi has researched Classical mechanics in several fields, including Large eddy simulation, Length scale, Reynolds-averaged Navier–Stokes equations and Statistical physics.

His most cited work include:

  • Onsager's conjecture on the energy conservation for solutions of Euler's equation (415 citations)
  • The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory (372 citations)
  • The Navier–Stokes-alpha model of fluid turbulence (361 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, Nonlinear system and Turbulence. Mathematical analysis is closely attributed to Inviscid flow in his work. His Navier–Stokes equations course of study focuses on Finite volume method and Fourier transform and Vector field.

The various areas that Edriss S. Titi examines in his Attractor study include Bounded function, Ordinary differential equation, Dissipative system, Upper and lower bounds and Ode. His research on Nonlinear system also deals with topics like

  • Partial differential equation which intersects with area such as Galerkin method,
  • Applied mathematics and related Geostrophic wind. His studies in Turbulence integrate themes in fields like Classical mechanics, Statistical physics, Scaling and Advection.

He most often published in these fields:

  • Mathematical analysis (110.89%)
  • Navier–Stokes equations (34.66%)
  • Attractor (28.13%)

What were the highlights of his more recent work (between 2018-2021)?

  • Mathematical analysis (110.89%)
  • Primitive equations (23.77%)
  • Vector field (15.79%)

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

Edriss S. Titi mainly investigates Mathematical analysis, Primitive equations, Vector field, Compressibility and Limit. His work on Mathematical analysis deals in particular with Singularity, Norm, Periodic boundary conditions, Strong solutions and Well posedness. His work in Primitive equations covers topics such as Inviscid flow which are related to areas like Gevrey class.

Edriss S. Titi interconnects Convection and Domain in the investigation of issues within Limit. His research investigates the link between Zero and topics such as Infinity that cross with problems in Navier–Stokes equations. His work deals with themes such as Algorithm, Data assimilation and Dissipative system, which intersect with Navier–Stokes equations.

Between 2018 and 2021, his most popular works were:

  • Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit (21 citations)
  • Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit (21 citations)
  • Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit (21 citations)

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

  • Mathematical analysis
  • Geometry
  • Partial differential equation

Exponent, Conjecture, Navier–Stokes equations, Mathematical analysis and Mathematical physics are his primary areas of study. His study on Conjecture also encompasses disciplines like

  • Bounded function together with Domain and Limit,
  • Entropy which connect with Differentiable function, Dissipation, Pure mathematics and Nonlinear system. In his research, Uniqueness is intimately related to Algorithm, which falls under the overarching field of Navier–Stokes equations.

His studies deal with areas such as Vector field and Thermal diffusivity as well as Mathematical analysis. His biological study spans a wide range of topics, including Space, Boundary layer, Non uniqueness and Regular polygon. Edriss S. Titi has included themes like Sobolev inequality, Logarithm and Viscosity in his Primitive equations study.

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.

Top Publications

The Navier–Stokes-alpha model of fluid turbulence

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

467 Citations

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.
Journal of Dynamics and Differential Equations (2002)

427 Citations

Onsager's conjecture on the energy conservation for solutions of Euler's equation

Peter Constantin;Weinan E;Edriss S. Titi.
Communications in Mathematical Physics (1994)

403 Citations

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.
Physical Review Letters (1998)

389 Citations

Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

Chongsheng Cao;Edriss S. Titi.
Annals of Mathematics (2007)

334 Citations

On a Leray-α model of turbulence

Alexey Cheskidov;Alexey Cheskidov;Darryl D. Holm;Darryl D. Holm;Eric Olson;Edriss S. Titi;Edriss S. Titi.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2005)

330 Citations

Exponential Tracking and Approximation of Inertial Manifolds for Dissipative Nonlinear Equations

Ciprian Foias;George R. Sell;Edriss S. Titi.
Journal of Dynamics and Differential Equations (1989)

294 Citations

A connection between the Camassa–Holm equations and turbulent flows in channels and pipes

S. Chen;C. Foias;D. D. Holm;E. Olson.
Physics of Fluids (1999)

284 Citations

On the computation of inertial manifolds

C. Foias;M. S. Jolly;I. G. Kevrekidis;George R Sell.
Physics Letters A (1988)

277 Citations

The Camassa-Holm equations and turbulence

S. Chen;C. Foias;C. Foias;D. D. Holm;E. Olson;E. Olson.
Physica D: Nonlinear Phenomena (1999)

250 Citations

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

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