D-Index & Metrics Best Publications

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 51 Citations 15,710 254 World Ranking 722 National Ranking 17

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Thermodynamics

Carlo Cercignani spends much of his time researching Boltzmann equation, Classical mechanics, Mathematical analysis, Kinetic theory of gases and Statistical physics. His Boltzmann equation research is multidisciplinary, incorporating elements of Boltzmann distribution, Lattice Boltzmann methods, Boundary value problem and Hard spheres. Carlo Cercignani interconnects Perturbation, Granular material, Shock wave, Mechanics and Hagen–Poiseuille equation in the investigation of issues within Classical mechanics.

His Variational principle, Operator and Differential equation study in the realm of Mathematical analysis connects with subjects such as Gauss–Jacobi quadrature. The concepts of his Kinetic theory of gases study are interwoven with issues in Collision frequency and Kinetic energy. His Thermodynamic limit study in the realm of Statistical physics interacts with subjects such as Specific model.

His most cited work include:

  • The Boltzmann equation and its applications (2279 citations)
  • The mathematical theory of dilute gases (1146 citations)
  • Theory and application of the Boltzmann equation (1058 citations)

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

Boltzmann equation, Classical mechanics, Mathematical analysis, Kinetic theory of gases and Mechanics are his primary areas of study. His studies deal with areas such as Lattice Boltzmann methods, Boundary value problem and Statistical physics as well as Boltzmann equation. His studies in Boundary value problem integrate themes in fields like Plane and Boundary.

His study in Classical mechanics is interdisciplinary in nature, drawing from both Granular material, Shock wave, Distribution function, Hagen–Poiseuille equation and Hard spheres. His work deals with themes such as Kinetic energy, Differential equation, Boltzmann constant and Mathematical physics, which intersect with Kinetic theory of gases. His research in the fields of Knudsen number, Flow and Open-channel flow overlaps with other disciplines such as Rayleigh–Bénard convection.

He most often published in these fields:

  • Boltzmann equation (50.33%)
  • Classical mechanics (31.33%)
  • Mathematical analysis (28.00%)

What were the highlights of his more recent work (between 2002-2012)?

  • Boltzmann equation (50.33%)
  • Classical mechanics (31.33%)
  • Mathematical analysis (28.00%)

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

The scientist’s investigation covers issues in Boltzmann equation, Classical mechanics, Mathematical analysis, Kinetic theory of gases and Statistical physics. The study incorporates disciplines such as Weak solution, Lattice Boltzmann methods, Boundary value problem and Nonlinear system in addition to Boltzmann equation. His work on Mixed boundary condition as part of general Boundary value problem study is frequently linked to Slab, bridging the gap between disciplines.

His Classical mechanics study combines topics in areas such as Mechanics, Knudsen number, Granular material, Reynolds equation and Hagen–Poiseuille equation. Carlo Cercignani interconnects Laplace transform and Transport phenomena in the investigation of issues within Kinetic theory of gases. The various areas that Carlo Cercignani examines in his Statistical physics study include Entropy, Gas dynamics and Boltzmann constant.

Between 2002 and 2012, his most popular works were:

  • The Relativistic Boltzmann Equation: Theory and Applications (319 citations)
  • Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions (119 citations)
  • Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials (94 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Thermodynamics

Carlo Cercignani focuses on Boltzmann equation, Classical mechanics, Mathematical analysis, Boundary value problem and Hagen–Poiseuille equation. His Boltzmann equation research is multidisciplinary, relying on both Relativistic mechanics, Reynolds equation, Microelectromechanical systems, Weak solution and Lattice Boltzmann methods. His Classical mechanics research incorporates themes from Granular material, Mechanics and Inelastic collision.

Carlo Cercignani has included themes like Silicon and Scattering kernel in his Mechanics study. His research investigates the connection between Boundary value problem and topics such as Plane that intersect with issues in Parallel plate, Integral form and Numerical technique. His study in Hagen–Poiseuille equation is interdisciplinary in nature, drawing from both Knudsen flow and Knudsen number.

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

The Boltzmann equation and its applications

Carlo Cercignani.
(1988)

4044 Citations

The Boltzmann equation and its applications

Carlo Cercignani.
(1988)

4044 Citations

Theory and application of the Boltzmann equation

C. Cercignani;Raphael Aronson.
(1975)

1550 Citations

Theory and application of the Boltzmann equation

C. Cercignani;Raphael Aronson.
(1975)

1550 Citations

The mathematical theory of dilute gases

Carlo Cercignani;Reinhard Illner;Mario Pulvirenti.
(1994)

1200 Citations

The mathematical theory of dilute gases

Carlo Cercignani;Reinhard Illner;Mario Pulvirenti.
(1994)

1200 Citations

Mathematical Methods in Kinetic Theory

Carlo Cercignani;R. Dorfman.
(1990)

790 Citations

Mathematical Methods in Kinetic Theory

Carlo Cercignani;R. Dorfman.
(1990)

790 Citations

Mathematical Methods In Kinetic Theory

Carlo Cercignani;Robert E. Street.
Physics Today (1970)

571 Citations

Mathematical Methods In Kinetic Theory

Carlo Cercignani;Robert E. Street.
Physics Today (1970)

571 Citations

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