Concept

Équation de Boltzmann

Publications associées (102)

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

In this paper we prove the global in time well-posedness of the following non-local diffusion equation with

\alpha\, \varepsilon [0, 2/3)

\partial_tu=\{(-\Delta)^{-1}u\}\Delta u+\alpha u^2, \,\, u(t=0)=u_0

. The initial condition

u_0

is positive, rad ...

2012

Dark goo: bulk viscosity as an alternative to dark energy

Julien Lesgourgues, Jean-Sébastien Gagnon

We present a simple (microscopic) model in which bulk viscosity plays a role in explaining the present acceleration of the universe. The effect of bulk viscosity on the Friedmann equations is to turn the pressure into an "effective" pressure containing the ...

2011

DNS of buoyancy-driven flows and Lagrangian particle tracking in a square cavity at high Rayleigh numbers

Michel Deville, Emmanuel Leriche, Alfredo Soldati, Riccardo Puragliesi, Abdelouahab Dehbi

In this work we investigate numerically particle deposition in the buoyancy driven flow of the differentially heated cavity (DHC). We consider two values of the Rayleigh number (Ra = 10(9), 10(10)) and three values of the particle diameter (d(p) = 15, 25, ...

2011

High Thermal Conductivity in Short-Period Superlattices

Nicola Marzari

The thermal conductivity of ideal short-period superlattices is computed using harmonic and anharmonic force constants derived from density-functional perturbation theory and by solving the Boltzmann transport equation in the single-mode relaxation time ap ...

2011

Dynamic density functional theory versus kinetic theory of simple fluids

By combining methods of kinetic and density functional theory, we present a description of molecular fluids which accounts for their microscopic structure and thermodynamic properties as well as their hydrodynamic behavior. We focus on the evolution of the ...

2010

Energy relaxation in one-dimensional polariton condensates

Vincenzo Savona, Timothy Chi Hin Liew

We study the kinetics of polariton condensation accounting for the condensation process as well as the energy relaxation of condensed polaritons due to their scattering with phonons and excitons. By assuming a Boltzmann kinetic description of the scatterin ...

2010

Numerical investigation of particle-laden thermally driven turbulent flows in enclosure

Riccardo Puragliesi

Nowadays, the global increase of energy demand and the necessity to satisfy high safety standards have led engineers and scientists to focus their efforts in order to understand and describe fundamental phenomena that are crucial for a correct design of th ...

EPFL2010

Hamiltonian approach to hybrid plasma models

Cesare Tronci

The Hamiltonian structures of several hybrid kinetic-fluid models are identified explicitly, upon considering collisionless Vlasov dynamics for the hot particles interacting with a bulk fluid. After presenting different pressure-coupling schemes for an ord ...

2010

Drift Stabilisation of Ballooning Modes in an Inward-Shifted LHD Configuration

Jonathan Graves, Wilfred Anthony Cooper, Lucie Brocher

A drift-magnetohydrodynamic theory is applied to a background anisotropic pressure equilibrium state to generate a drift corrected ballooning mode equation. The ratio of the mode frequency to the hot particle drift frequency constitutes the critical expans ...

2010

Drift stabilization of ballooning modes in an inward-Shifted LHD configuration

Jonathan Graves, Wilfred Anthony Cooper, Lucie Brocher

Wiley-VCH2010

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Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Joachim Krieger

In this paper we prove the global in time well-posedness of the following non-local diffusion equation with

\alpha\, \varepsilon [0, 2/3)

\partial_tu=\{(-\Delta)^{-1}u\}\Delta u+\alpha u^2, \,\, u(t=0)=u_0

. The initial condition

u_0

is positive, rad ...

2012