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.
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.
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.
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.
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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)
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
One-dimensional transport equations with discontinuous coefficients
F. Bouchut;F. James.
Nonlinear Analysis-theory Methods & Applications (1998)
ON ZERO PRESSURE GAS DYNAMICS
Kinetic equations and asymptotic theory
François Bouchut;François Golse;Mario Pulvirenti.
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)
Gravity driven shallow water models for arbitrary topography
Francois Bouchut;Michael Westdickenberg.
Communications in Mathematical Sciences (2004)
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)
CONSTRUCTION OF BGK MODELS WITH A FAMILY OF KINETIC ENTROPIES FOR A GIVEN SYSTEM OF CONSERVATION LAWS
Journal of Statistical Physics (1999)
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