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Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Eq...
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Semilinear geometric optics with boundary amplification
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Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conserv...
This paper deals with the design of adaptive anisotropic discretization schemes for conservation laws with stochastic parameters. A Finite Volume scheme is used for... -
Liquid and liquid-gas flows at all speeds : Reference solutions and numerical...
This paper present some reference solutions to be used in order to validate and improve numerical schemes for multiphase flows. We address here exact one-dimensional... -
Parabolic Schemes for Quasi-Linear Parabolic and Hyperbolic PDEs Via Stochast...
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A 2d Well-balanced Positivity Preserving Second Order Scheme for Shallow Wate...
We consider the solution of the Saint-Venant equations with topographic source terms on 2D unstructured meshes by a finite volume approach. We first present a stable... -
Finite-time stabilization of 2*2 hyperbolic systems on tree-shaped networks
We investigate the finite-time boundary stabilization of a 1-D first order quasilinear hyperbolic system of diagonal form on [0,1]. The dynamics of both boundary... -
An energy concept for macroscopic traffic flow modeling
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An energy concept for macroscopic traffic flow modelling
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On the stability and dissipation of wall boundary conditions for compressible...
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Nonlinear geometric optics for reflecting uniformly stable pulses
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Numerical schemes for the hybrid modeling of gas-particle turbulent flows
Hybrid Moments/PDF methods have shown to be well suitable for the description of polydispersed turbulent two-phase flows in non-equilibrium which are encountered in... -
Unsteady interfacial coupling of two-phase flow models
Deuxième rapporteur non membre du jury : Pierre-Arnaud Raviart -
Boundary Observers for Linear and Quasi-linear Hyperbolic Systems with Applic...
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Contribution to predictive control for systems of conservation laws
The predictive control or Receding Horizon Optimal Control (RHOC) is becoming increasingly popular in many practical applications due to its significant advantages... -
Actual impedance of nonreflecting boundary conditions: Implications for compu...
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Defining wave amplitude in characteristic boundary conditions
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Contribution to the numerical approximation of hyperbolic systems
This work is devoted to several aspects of the numerical approximation of hyperbolic systems of conservation laws. The first part is dedicated to the derivation of... -
Existence, unicité, approximations de solutions d'équations cinétiques et hyp...
The context of this thesis is particle systems. We deal with different physical systems, described continuously, whose dynamics are modeled by partial differential... -
Modelling, mathematical analysis and numerical simulations for some multiscal...
This work is concerned with different aspects of multiscale partial differential equations. For three problems, we address questions of modelling and discretization...
