What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (42.05%)
- Statistical physics (19.25%)
- Nonlinear system (16.95%)
What were the highlights of his more recent work (between 2018-2021)?
- Applied mathematics (12.55%)
- Statistical physics (19.25%)
- Nonlinear system (16.95%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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