What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Thermodynamics
The scientist’s investigation covers issues in Mathematical analysis, Uniqueness, Smoluchowski coagulation equation, Statistical physics and Critical mass.
In his study, Philippe Laurençot carries out multidisciplinary Mathematical analysis and Critical value research.
Uniqueness is often connected to Space dimension in his work.
While the research belongs to areas of Balanced flow, Philippe Laurençot spends his time largely on the problem of Scheme, intersecting his research to questions surrounding Variational principle, Product topology and Second moment of area.
His work in Hamilton–Jacobi equation tackles topics such as Integrable system which are related to areas like Heat equation, Initial value problem and Diffusion equation.
The Partial differential equation study combines topics in areas such as Mechanics and Breakup.
His most cited work include:
- Derivation of hyperbolic models for chemosensitive movement (186 citations)
- Numerical Simulation of the Smoluchowski Coagulation Equation (133 citations)
- Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions (133 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Mathematical analysis, Coagulation, Uniqueness, Mathematical physics and Nonlinear system.
His Mathematical analysis study frequently links to related topics such as Finite time.
Combining a variety of fields, including Coagulation, Fragmentation, Smoluchowski coagulation equation, Compact space, Statistical physics and Applied mathematics, are what the author presents in his essays.
Many of his studies on Nonlinear system involve topics that are commonly interrelated, such as Partial differential equation.
He combines subjects such as Singularity, Deflection and Stability theory with his study of Free boundary problem.
His study in Hamilton–Jacobi equation is interdisciplinary in nature, drawing from both Heat equation and Dirichlet boundary condition.
He most often published in these fields:
- Mathematical analysis (64.75%)
- Coagulation (14.03%)
- Uniqueness (12.59%)
What were the highlights of his more recent work (between 2018-2021)?
- Mathematical analysis (64.75%)
- Coagulation (14.03%)
- Fragmentation (6.83%)
In recent papers he was focusing on the following fields of study:
Philippe Laurençot spends much of his time researching Mathematical analysis, Coagulation, Fragmentation, Bounded function and Applied mathematics.
His work in the fields of Mathematical analysis, such as Singularity, Zero and Limit, overlaps with other areas such as Dielectric and Limiting.
The various areas that Philippe Laurençot examines in his Bounded function study include Space, Combinatorics, Pure mathematics and Mathematical physics.
His Applied mathematics study combines topics from a wide range of disciplines, such as Upper and lower bounds and Stationary solution.
Philippe Laurençot works mostly in the field of Algebraic number, limiting it down to topics relating to Second moment of area and, in certain cases, Initial value problem.
Philippe Laurençot has researched Uniqueness in several fields, including Chemical physics and Statistical physics.
Between 2018 and 2021, his most popular works were:
- Analytic Methods for Coagulation-Fragmentation Models, Volume I (29 citations)
- Global bounded and unbounded solutions to a chemotaxis system with indirect signal production (10 citations)
- Delayed Blow-Up for Chemotaxis Models with Local Sensing (6 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Thermodynamics
- Geometry
His main research concerns Coagulation, Fragmentation, Mathematical analysis, Uniqueness and Bounded function.
Philippe Laurençot is interested in Infinity, which is a field of Mathematical analysis.
He has included themes like Chemical physics, Space dimension and Supercritical fluid in his Uniqueness study.
His work deals with themes such as Mass concentration, Thermal diffusivity, Ball, Component and Space, which intersect with Bounded function.
His research integrates issues of Singularity, Monotonic function, Smoluchowski coagulation equation and Integrable system in his study of Algebraic number.
His Compact space research integrates issues from Initial value problem and Second moment of area.
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