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- François Bouchut

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
49
Citations
9,014
134
World Ranking
841
National Ranking
42

- Quantum mechanics
- Mathematical analysis
- Geometry

His main research concerns Mathematical analysis, Mechanics, Conservation law, Finite volume method and Hydrostatic equilibrium. His Mathematical analysis study frequently draws connections to other fields, such as Mathematical physics. The various areas that François Bouchut examines in his Mechanics study include Geotechnical engineering and Fugacity.

The Conservation law study combines topics in areas such as Gas dynamics, Minification, Nonlinear stability, Applied mathematics and Entropy. His study focuses on the intersection of Finite volume method and fields such as Numerical analysis with connections in the field of Riemann hypothesis, Drag, Surface, Classical mechanics and Kinetic energy. His Hydrostatic equilibrium study combines topics in areas such as Euler equations, Granular material, Vector field, Geometry and Dissipation.

- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows (650 citations)
- Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources (469 citations)
- Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws (271 citations)

François Bouchut spends much of his time researching Mathematical analysis, Mechanics, Classical mechanics, Conservation law and Finite volume method. His research in Mathematical analysis intersects with topics in Flow, Vector field and Nonlinear system. In the field of Mechanics, his study on Shallow water equations overlaps with subjects such as Materials science.

His studies in Classical mechanics integrate themes in fields like Gas dynamics, Geostrophic wind and Potential vorticity. His Conservation law research incorporates elements of Entropy and Applied mathematics. His studies deal with areas such as Numerical analysis and Solver as well as Applied mathematics.

- Mathematical analysis (34.50%)
- Mechanics (25.15%)
- Classical mechanics (15.20%)

- Mechanics (25.15%)
- Materials science (8.77%)
- Mathematical analysis (34.50%)

François Bouchut mostly deals with Mechanics, Materials science, Mathematical analysis, Viscoplasticity and Dilatant. His work carried out in the field of Mechanics brings together such families of science as Work, Rheology, Phase and Classical mechanics. His Mathematical analysis research is multidisciplinary, relying on both Vector field, Hydrostatic equilibrium and Finite volume method.

The concepts of his Hydrostatic equilibrium study are interwoven with issues in Discretization, Geometry, Solver and Kinetic energy. François Bouchut studied Viscoplasticity and Granular material that intersect with Amplitude, Trajectory, Debris flow, Overdetermined system and Shear stress. His work deals with themes such as Volume fraction and Pore water pressure, which intersect with Dilatant.

- Viscoplastic modeling of granular column collapse with pressure-dependent rheology (81 citations)
- Numerical modeling of the Mount Meager landslide constrained by its force history derived from seismic data (47 citations)
- A two-phase two-layer model for fluidized granular flows with dilatancy effects (38 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

His primary areas of study are Mathematical analysis, Mechanics, Viscoplasticity, Vector field and Flow. Mathematical analysis is closely attributed to Hydrostatic equilibrium in his work. He has included themes like Rheology, Viscosity and Classical mechanics in his Mechanics study.

He interconnects Numerical analysis, Free surface, Augmented Lagrangian method and Simple shear in the investigation of issues within Classical mechanics. His work investigates the relationship between Vector field and topics such as Integrable system that intersect with problems in Vorticity, Euler system and Order. The Flow study which covers Landslide that intersects with Granular material.

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.

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Emmanuel Audusse;François Bouchut;Marie-Odile Bristeau;Rupert Klein.

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

1133 Citations

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources

François Bouchut.

**(2004)**

862 Citations

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

François Bouchut.

**(2004)**

438 Citations

One-dimensional transport equations with discontinuous coefficients

F. Bouchut;F. James.

Nonlinear Analysis-theory Methods & Applications **(1998)**

345 Citations

ON ZERO PRESSURE GAS DYNAMICS

F. Bouchut.

**(1996)**

317 Citations

Kinetic equations and asymptotic theory

François Bouchut;François Golse;Mario Pulvirenti.

**(2000)**

271 Citations

Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme

A. Mangeney-Castelnau;J.-P. Vilotte;M. O. Bristeau;B. Perthame.

Journal of Geophysical Research **(2003)**

237 Citations

Gravity driven shallow water models for arbitrary topography

Francois Bouchut;Michael Westdickenberg.

Communications in Mathematical Sciences **(2004)**

222 Citations

On the use of Saint Venant equations to simulate the spreading of a granular mass

A. Mangeney-Castelnau;F. Bouchut;J.P. Vilotte;E. Lajeunesse.

Journal of Geophysical Research **(2005)**

213 Citations

CONSTRUCTION OF BGK MODELS WITH A FAMILY OF KINETIC ENTROPIES FOR A GIVEN SYSTEM OF CONSERVATION LAWS

F. Bouchut.

Journal of Statistical Physics **(1999)**

193 Citations

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