- Home
- Best Scientists - Mathematics
- Philippe Laurençot

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
33
Citations
4,753
204
World Ranking
2220
National Ranking
137

- 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.

- 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)

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.

- Mathematical analysis (64.75%)
- Coagulation (14.03%)
- Uniqueness (12.59%)

- Mathematical analysis (64.75%)
- Coagulation (14.03%)
- Fragmentation (6.83%)

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.

- 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)

- 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.

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.

Derivation of hyperbolic models for chemosensitive movement

Francis Filbet;Philippe Laurençot;Benoît Perthame.

Journal of Mathematical Biology **(2005)**

224 Citations

Numerical Simulation of the Smoluchowski Coagulation Equation

Francis Filbet;Philippe Laurençot.

SIAM Journal on Scientific Computing **(2004)**

197 Citations

Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions

Adrien Blanchet;José Antonio Carrillo;Philippe Laurençot.

Calculus of Variations and Partial Differential Equations **(2009)**

194 Citations

Existence of Self-Similar Solutions to Smoluchowski’s Coagulation Equation

Nicolas Fournier;Philippe Laurençot.

Communications in Mathematical Physics **(2005)**

157 Citations

The 8π-problem for radially symmetric solutions of a chemotaxis model in the plane

Piotr Biler;Grzegorz Karch;Philippe Laurençot;Tadeusz Nadzieja.

Mathematical Methods in The Applied Sciences **(2006)**

139 Citations

From the discrete to the continuous coagulation–fragmentation equations

Philippe Laurençot;Stéphane Mischler.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(2002)**

137 Citations

Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system

Tomasz Cieślak;Philippe Laurençot.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(2010)**

131 Citations

On a Class of Continuous Coagulation-Fragmentation Equations

Philippe Laurençot.

Journal of Differential Equations **(2000)**

122 Citations

On coalescence equations and related models

Philippe Laurençot;Stéphane Mischler.

**(2004)**

118 Citations

The Continuous Coagulation-Fragmentation¶Equations with Diffusion

Philippe Laurençot;Stéphane Mischler.

Archive for Rational Mechanics and Analysis **(2002)**

110 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Hannover

University of Pavia

Paris Dauphine University

University of Oxford

Czech Academy of Sciences

Sorbonne University

Autonomous University of Madrid

François Rabelais University

Paris 13 University

University of Bonn

IBM (United States)

University of Portsmouth

Chinese Academy of Sciences

Government College University, Lahore

National Academy of Sciences of Ukraine

Kyoto University

Institute for Advanced Studies in Basic Sciences

University of Missouri

Lawrence Berkeley National Laboratory

University College Dublin

Agricultural Research Service

Indiana University

University of Nottingham

Leiden University Medical Center

Federal University of Sao Paulo

Université Paris Cité

Something went wrong. Please try again later.