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- José A. Carrillo

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
67
Citations
15,591
412
World Ranking
242
National Ranking
14

- Quantum mechanics
- Mathematical analysis
- Geometry

José A. Carrillo mainly investigates Mathematical analysis, Statistical physics, Nonlinear system, Classical mechanics and Kinetic energy. His study on Mathematical analysis is mostly dedicated to connecting different topics, such as Degenerate energy levels. His research in Statistical physics focuses on subjects like Continuum, which are connected to Vlasov equation and Fluid mechanics.

José A. Carrillo has included themes like Flow, Balanced flow, Applied mathematics and A priori and a posteriori in his Nonlinear system study. The concepts of his Classical mechanics study are interwoven with issues in Boltzmann constant, Boltzmann equation, Euler equations, Inelastic scattering and Distribution. His Boltzmann equation research incorporates elements of Operator, Fourier analysis, Thermal velocity and Dirac delta function.

- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates (433 citations)
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model (366 citations)
- Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media (340 citations)

His scientific interests lie mostly in Mathematical analysis, Statistical physics, Nonlinear system, Applied mathematics and Balanced flow. His Mathematical analysis study frequently intersects with other fields, such as Stationary state. His Statistical physics research is multidisciplinary, incorporating perspectives in Phase transition, Continuum, Limit and Kinetic energy.

His Limit research is multidisciplinary, incorporating elements of Euler system, Euler equations and Kullback–Leibler divergence. His Nonlinear system research is multidisciplinary, relying on both Partial differential equation and Finite volume method. His studies in Balanced flow integrate themes in fields like Discretization and Energy functional.

- Mathematical analysis (42.05%)
- Statistical physics (19.25%)
- Nonlinear system (16.95%)

- Applied mathematics (12.55%)
- Statistical physics (19.25%)
- Nonlinear system (16.95%)

José A. Carrillo spends much of his time researching Applied mathematics, Statistical physics, Nonlinear system, Mathematical analysis and Balanced flow. His work carried out in the field of Applied mathematics brings together such families of science as Scheme, Mean field theory, Dissipation, Numerical analysis and Finite volume method. His Statistical physics research integrates issues from Phase transition, Continuum, Wasserstein metric and Spectral method.

The various areas that José A. Carrillo examines in his Nonlinear system study include Steady state, Partial differential equation, Singularity, Limit and Dissipative system. His Mathematical analysis study focuses on Uniqueness in particular. His Balanced flow study integrates concerns from other disciplines, such as Fokker–Planck equation, Metric, Probability measure and Energy functional.

- A blob method for diffusion (40 citations)
- Long-Time Behaviour and Phase Transitions for the Mckean–Vlasov Equation on the Torus (33 citations)
- Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits (30 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

Applied mathematics, Statistical physics, Nonlinear system, Mathematical analysis and Stationary state are his primary areas of study. His Applied mathematics study combines topics from a wide range of disciplines, such as Balanced flow, Energy, Mean field theory, Exponential function and Isotropy. His Statistical physics research includes elements of Continuum, Numerical analysis and Phase transition.

José A. Carrillo has researched Nonlinear system in several fields, including Geometric Brownian motion, Global optimization, Curse of dimensionality, Limit and Dissipative system. His research in Mathematical analysis intersects with topics in Vector field, Quadratic equation and Dimension. His work deals with themes such as Navier–Stokes equations, Uniqueness and Non linear diffusion, which intersect with Stationary state.

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.

Entropy Solutions for Nonlinear Degenerate Problems

José Carrillo.

Archive for Rational Mechanics and Analysis **(1999)**

546 Citations

Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

José A. Carrillo;Robert J. McCann;Cédric Villani.

Revista Matematica Iberoamericana **(2003)**

498 Citations

Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

José A. Carrillo;Robert J. McCann;Cédric Villani.

Revista Matematica Iberoamericana **(2003)**

498 Citations

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

José A. Carrillo;M. Fornasier;Jesús Rosado;Giuseppe Toscani.

Siam Journal on Mathematical Analysis **(2010)**

442 Citations

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

José A. Carrillo;M. Fornasier;Jesús Rosado;Giuseppe Toscani.

Siam Journal on Mathematical Analysis **(2010)**

442 Citations

Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani.

Monatshefte für Mathematik **(2001)**

402 Citations

Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani.

Monatshefte für Mathematik **(2001)**

402 Citations

Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media

José A. Carrillo;Robert J. McCann;Cédric Villani.

Archive for Rational Mechanics and Analysis **(2006)**

380 Citations

Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media

José A. Carrillo;Robert J. McCann;Cédric Villani.

Archive for Rational Mechanics and Analysis **(2006)**

380 Citations

Asymptotic L1-decay of solutions of the porous medium equation to self-similarity

J. A. Carrillo;G. Toscani.

Indiana University Mathematics Journal **(2000)**

353 Citations

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