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- Clément Mouhot

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
34
Citations
4,638
89
World Ranking
2061
National Ranking
142

- Quantum mechanics
- Mathematical analysis
- Algebra

Clément Mouhot focuses on Mathematical analysis, Boltzmann constant, Boltzmann equation, Hard spheres and Spectral gap. His work in the fields of Mathematical analysis, such as Limit and Exponential function, intersects with other areas such as Constructive. Clément Mouhot focuses mostly in the field of Exponential function, narrowing it down to topics relating to Thermodynamic equilibrium and, in certain cases, Fokker–Planck equation.

Clément Mouhot carries out multidisciplinary research, doing studies in Boltzmann constant and Rate of convergence. His Boltzmann equation research includes themes of Mathematical physics, Exponential decay, Spectral method, Kinetic theory of gases and Numerical analysis. His Hard spheres study combines topics in areas such as Collision operator and Operator.

- On Landau damping (332 citations)
- Hypocoercivity for linear kinetic equations conserving mass (183 citations)
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus (165 citations)

His primary areas of investigation include Mathematical analysis, Boltzmann equation, Boltzmann constant, Hard spheres and Mathematical physics. The Mathematical analysis study which covers Exponential decay that intersects with Space. His Boltzmann equation research includes elements of Upper and lower bounds, Entropy production, Uniqueness and Cutoff.

His research in Boltzmann constant intersects with topics in Spectral method, Statistical physics, Limit, Applied mathematics and Dissipative system. His Hard spheres research is multidisciplinary, incorporating perspectives in Collision operator, Gravitational singularity, Classical mechanics, Smoothness and Constant. Clément Mouhot studied Mathematical physics and Landau damping that intersect with Convection–diffusion equation.

- Mathematical analysis (53.73%)
- Boltzmann equation (52.99%)
- Boltzmann constant (40.30%)

- Mathematical physics (23.88%)
- Mathematical analysis (53.73%)
- Hypoelliptic operator (7.46%)

His scientific interests lie mostly in Mathematical physics, Mathematical analysis, Hypoelliptic operator, Kinetic theory of gases and Kinetic energy. Clément Mouhot has researched Mathematical physics in several fields, including Scattering, Order, Zero, Partial differential equation and Landau damping. The study incorporates disciplines such as Nonlinear model, Cutoff and Boltzmann equation in addition to Mathematical analysis.

He combines subjects such as Knudsen number, Boltzmann constant, Gaussian, Upper and lower bounds and Pointwise with his study of Boltzmann equation. The Kinetic energy study combines topics in areas such as Perturbation, Uniqueness and Nonlinear system. Clément Mouhot has included themes like Hölder condition, Operator, Linear equation and Fokker–Planck equation in his Harnack's inequality study.

- Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation (68 citations)
- Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions (24 citations)
- De Giorgi-Nash-Moser and H{ö}rmander theories: new interplay (15 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Clément Mouhot mainly focuses on Mathematical physics, Boltzmann equation, Exponential decay, Bounded function and Space. His work carried out in the field of Mathematical physics brings together such families of science as Partial differential equation, Kinetic theory of gases and Type. In his study, Sobolev space is inextricably linked to Knudsen number, which falls within the broad field of Boltzmann equation.

The concepts of his Exponential decay study are interwoven with issues in Function space, Heat equation, Simple, Applied mathematics and Exponential function. The various areas that Clément Mouhot examines in his Bounded function study include Hölder condition, Linear equation, Fokker–Planck equation, Operator and Resonance. His Hölder condition study is concerned with the field of Mathematical analysis as a whole.

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.

On Landau damping

Clément Mouhot;Cédric Villani.

Acta Mathematica **(2011)**

537 Citations

Hypocoercivity for linear kinetic equations conserving mass

Jean Dolbeault;Clément Mouhot;Christian Schmeiser.

Transactions of the American Mathematical Society **(2015)**

254 Citations

Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus

Clement Gabriel Mouhot;L Neumann.

Nonlinearity **(2006)**

207 Citations

Kac’s program in kinetic theory

Stéphane Mischler;Clément Mouhot.

Inventiones Mathematicae **(2013)**

185 Citations

Fast algorithms for computing the Boltzmann collision operator

Clément Mouhot;Lorenzo Pareschi.

Mathematics of Computation **(2006)**

178 Citations

Fractional Diffusion Limit for Collisional Kinetic Equations

Antoine Mellet;Stéphane Mischler;Stéphane Mischler;Clément Mouhot.

Archive for Rational Mechanics and Analysis **(2011)**

159 Citations

Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials

Clément Mouhot;Clément Mouhot.

Communications in Mathematical Physics **(2006)**

149 Citations

Regularity Theory for the Spatially Homogeneous Boltzmann Equation with Cut-Off

Clément Mouhot;Cédric Villani.

Archive for Rational Mechanics and Analysis **(2004)**

148 Citations

Solving the Boltzmann Equation in N log 2 N

Francis Filbet;Clément Mouhot;Lorenzo Pareschi.

SIAM Journal on Scientific Computing **(2006)**

141 Citations

Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

François Golse;Cyril Imbert;Alexis Vasseur.

Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze **(2019)**

134 Citations

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