List of works - François Bouchut

A 5-Wave Relaxation Solver for the Shallow Water MHD System

article

A BGK model for small Prandtl number in the Navier-Stokes approximation

article

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

article by Emmanuel Audusse et al published January 2004 in SIAM Journal on Scientific and Statistical Computing

A Free Interface Model for Static/Flowing Dynamics in Thin-Layer Flows of Granular Materials with Yield: Simple Shear Simulations and Comparison with Experiments

A MUSCL method satisfying all the numerical entropy inequalities

A Non-linear Stochastic Differential Equation Involving the Hilbert Transform

A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers

article by Marica Pelanti et al published February 2011 in Journal of Computational Physics

A Roe-type scheme for two-phase shallow granular flows over variable topography

article by Marica Pelanti et al published 30 July 2008 in ESAIM: Mathematical Modelling and Numerical Analysis

A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows

article by François Bouchut & Tomás Morales de Luna published January 2010 in SIAM Journal on Numerical Analysis

A multi well-balanced scheme for the shallow water MHD system with topography

article by François Bouchut & Xavier Lhébrard published 25 January 2017 in Numerische Mathematik

A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves

A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework

article published in 2007

A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows

article

A robust well-balanced scheme for multi-layer shallow water equations

article by Vladimir Zeitlin & François Bouchut published March 2010 in Discrete and Continuous Dynamical Systems: Series B

A two-phase shallow debris flow model with energy balance

article

A two-phase two-layer model for fluidized granular flows with dilatancy effects

article

An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows

article

An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment

article by François Bouchut & Tomás Morales de Luna published 5 June 2008 in ESAIM: Mathematical Modelling and Numerical Analysis

An introduction to finite volume methods for hyperbolic conservation laws

Breaking of balanced and unbalanced equatorial waves.

scientific article published in March 2005

Chapter 4 Efficient Numerical Finite Volume Schemes for Shallow Water Models

scholarly article published 2007

Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography

article by Marine Tort et al published 8 May 2014 in Journal of Fluid Mechanics

Convection and total variation flow—erratum and improvement

scholarly article published in IMA Journal of Numerical Analysis

Differentiability with Respect to Initial Data for a Scalar Conservation Law

Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection

article

Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics

scholarly article by Vladimir Zeitlin et al published 14 August 2015 in Geophysical and Astrophysical Fluid Dynamics

Gravity driven shallow water models for arbitrary topography

article

Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model

article by François Bouchut et al published December 2011 in Physics of Fluids

Influence of the scar geometry on landslide dynamics and deposits: Application to Martian landslides

scholarly article

Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system

Lagrangian flows for vector fields with anisotropic regularity

Lagrangian solutions to the 2D Euler system withL1vorticity and infinite energy

scholarly article by Anna Bohun et al published February 2016 in Nonlinear Analysis: Theory, Methods & Applications

Lagrangian solutions to the Vlasov–Poisson system withL1density

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

scholarly article published 2004

Numerical Approximations of Pressureless and Isothermal Gas Dynamics

article

Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography

Numerical modeling of landquakes

article

Numerical modeling of self-channeling granular flows and of their levee-channel deposits

article

Numerical modeling of the Mount Meager landslide constrained by its force history derived from seismic data

article by L. Moretti et al published April 2015 in Journal of geophysical research. Solid earth

Numerical modeling of the Mount Steller landslide flow history and of the generated long period seismic waves

scholarly article

Numerical simulation of the 30–45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement

scholarly article by Morgane Brunet et al published 6 April 2017 in Natural Hazards

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

scientific article published in 2005

Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations

Sinuous gullies on Mars: Frequency, distribution, and implications for flow properties

scholarly article

Solution with finite energy to a BGK system relaxing to isentropic gas dynamics

article

Stability of Relaxation Models for Conservation Laws

Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker–Prager yield stress and application to granular collapse

Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids

scholarly article by François Bouchut & Sébastien Boyaval published January 2016 in European Journal of Mechanics B - Fluids

Uniqueness, Renormalization, and Smooth Approximations for Linear Transport Equations

Upwinding of the source term at interfaces for Euler equations with high friction

Viscoplastic modeling of granular column collapse with pressure-dependent rheology

scholarly article by Ioan R. Ionescu et al published May 2015 in Journal of Non-Newtonian Fluid Mechanics

List of works by François Bouchut

A 5-Wave Relaxation Solver for the Shallow Water MHD System

A BGK model for small Prandtl number in the Navier-Stokes approximation

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

A Free Interface Model for Static/Flowing Dynamics in Thin-Layer Flows of Granular Materials with Yield: Simple Shear Simulations and Comparison with Experiments

A MUSCL method satisfying all the numerical entropy inequalities

A Non-linear Stochastic Differential Equation Involving the Hilbert Transform

A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers

A Roe-type scheme for two-phase shallow granular flows over variable topography

A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows

A multi well-balanced scheme for the shallow water MHD system with topography

A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves

A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework

A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows

A robust well-balanced scheme for multi-layer shallow water equations

A two-phase shallow debris flow model with energy balance

A two-phase two-layer model for fluidized granular flows with dilatancy effects

An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows

An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment

An introduction to finite volume methods for hyperbolic conservation laws

Breaking of balanced and unbalanced equatorial waves.

Chapter 4 Efficient Numerical Finite Volume Schemes for Shallow Water Models

Classical Solutions and the Glassey-Strauss Theorem for the 3D Vlasov-Maxwell System

Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography

Convection and total variation flow—erratum and improvement

Differentiability with Respect to Initial Data for a Scalar Conservation Law

Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection

Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics

Gravity driven shallow water models for arbitrary topography

Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model

Influence of the scar geometry on landslide dynamics and deposits: Application to Martian landslides

Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system

Lagrangian flows for vector fields with anisotropic regularity

Lagrangian solutions to the 2D Euler system withL1vorticity and infinite energy

Lagrangian solutions to the Vlasov–Poisson system withL1density

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

Numerical Approximations of Pressureless and Isothermal Gas Dynamics

Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography

Numerical modeling of landquakes

Numerical modeling of self-channeling granular flows and of their levee-channel deposits

Numerical modeling of the Mount Meager landslide constrained by its force history derived from seismic data

Numerical modeling of the Mount Steller landslide flow history and of the generated long period seismic waves

Numerical simulation of the 30–45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement

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

Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations

Sinuous gullies on Mars: Frequency, distribution, and implications for flow properties

Solution with finite energy to a BGK system relaxing to isentropic gas dynamics

Stability of Relaxation Models for Conservation Laws

Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker–Prager yield stress and application to granular collapse

Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids

Uniqueness, Renormalization, and Smooth Approximations for Linear Transport Equations

Upwinding of the source term at interfaces for Euler equations with high friction

Viscoplastic modeling of granular column collapse with pressure-dependent rheology

Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions