D-Index & Metrics Best Publications
Mathematics
CZ
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 53 Citations 10,444 330 World Ranking 660 National Ranking 2

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Czech Republic Leader Award

2022 - Research.com Mathematics in Czech Republic Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Eduard Feireisl mainly focuses on Mathematical analysis, Compressibility, Weak solution, Compressible flow and Navier–Stokes equations. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Stokes' law and Heat flux. His primary area of study in Compressibility is in the field of Navier stokes.

His Weak solution research incorporates themes from Uniqueness, Equations of motion, Boundary value problem and Liquid crystal. His Compressible flow research incorporates elements of Existence theorem, Partial differential equation, Classical mechanics and Barotropic fluid. Within one scientific family, he focuses on topics pertaining to Fluid mechanics under Navier–Stokes equations, and may sometimes address concerns connected to Three dimensional flow and Mathematical physics.

His most cited work include:

  • Dynamics of Viscous Compressible Fluids (643 citations)
  • On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations (537 citations)
  • Singular Limits in Thermodynamics of Viscous Fluids (328 citations)

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

His scientific interests lie mostly in Mathematical analysis, Compressibility, Compressible flow, Mechanics and Weak solution. His work in Mathematical analysis covers topics such as Navier stokes which are related to areas like Fourier transform. His work carried out in the field of Compressibility brings together such families of science as Motion, Mach number, Classical mechanics, Uniqueness and Barotropic fluid.

His research in the fields of Mach wave overlaps with other disciplines such as Froude number. His Navier–Stokes equations research extends to the thematically linked field of Compressible flow. His research on Weak solution frequently links to adjacent areas such as Partial differential equation.

He most often published in these fields:

  • Mathematical analysis (64.71%)
  • Compressibility (48.53%)
  • Compressible flow (24.26%)

What were the highlights of his more recent work (between 2017-2021)?

  • Mathematical analysis (64.71%)
  • Compressibility (48.53%)
  • Euler system (15.07%)

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

His main research concerns Mathematical analysis, Compressibility, Euler system, Compressible flow and Applied mathematics. His Mathematical analysis research is multidisciplinary, relying on both Navier stokes and Dissipative system. His work deals with themes such as Fourier transform and Boundary value problem, which intersect with Navier stokes.

His Compressibility research is under the purview of Mechanics. His Euler system research includes themes of Gas dynamics, Viscosity, Turbulence, Limit and Isentropic process. The Compressible flow study combines topics in areas such as Kinetic energy, Classical mechanics, Closure and Ill posedness.

Between 2017 and 2021, his most popular works were:

  • Singular Limits in Thermodynamics of Viscous Fluids (328 citations)
  • On oscillatory solutions to the complete Euler system (36 citations)
  • Stochastically Forced Compressible Fluid Flows (25 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

His primary areas of investigation include Mathematical analysis, Compressibility, Euler system, Relative energy and Uniqueness. His Mathematical analysis study combines topics from a wide range of disciplines, such as Navier stokes, Viscous compressible fluid, Inviscid flow, Barotropic fluid and Fluid dynamics. The various areas that he examines in his Navier stokes study include Weak solution, Turbulence, Norm and Isentropic process.

In his works, he conducts interdisciplinary research on Compressibility and Uniform convergence. His study in Euler system is interdisciplinary in nature, drawing from both Ill posedness, Limit and Well-posed problem. His Uniqueness research is multidisciplinary, incorporating elements of Compressible navier stokes equations and Internal energy.

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

Dynamics of Viscous Compressible Fluids

Eduard Feireisl.
(2004)

1093 Citations

On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations

E. Feireisl;A. Novotný;H. Petzeltová.
Journal of Mathematical Fluid Mechanics (2001)

884 Citations

Singular Limits in Thermodynamics of Viscous Fluids

Eduard Feireisl;Antonín Novotný.
(2009)

586 Citations

The Equations of Magnetohydrodynamics: On the Interaction Between Matter and Radiation in the Evolution of Gaseous Stars

Bernard Ducomet;Eduard Feireisl.
Communications in Mathematical Physics (2006)

364 Citations

Relative Entropies, Suitable Weak Solutions, and Weak-Strong Uniqueness for the Compressible Navier–Stokes System

Eduard Feireisl;Bum Ja Jin;Antonín Novotný.
Journal of Mathematical Fluid Mechanics (2012)

232 Citations

On the motion of a viscous, compressible, and heat conducting fluid

Eduard Feireisl.
Indiana University Mathematics Journal (2004)

190 Citations

Weak–Strong Uniqueness Property for the Full Navier–Stokes–Fourier System

Eduard Feireisl;Antonín Novotný.
Archive for Rational Mechanics and Analysis (2012)

171 Citations

Relative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system

Eduard Feireisl;Bum Ja Jin;Antonin Novotny.
arXiv: Analysis of PDEs (2011)

163 Citations

Compressible Navier–Stokes Equations with a Non-Monotone Pressure Law

Eduard Feireisl.
Journal of Differential Equations (2002)

154 Citations

Convergence for Semilinear Degenerate Parabolic Equations in Several Space Dimensions

Eduard Feireisl;Frédérique Simondon.
Journal of Dynamics and Differential Equations (2000)

150 Citations

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