[PDF] Top 20 Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the Torus
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Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the Torus
... 2019 BOLTZMANN EQUATION ON THE ...equilibrium for the spatially inhomogeneous lin- ear relaxation Boltzmann equation in Boltzmann entropy and ... Voir le document complet
18
HYPOCOERCIVITY IN PHI-ENTROPY FOR THE LINEAR RELAXATION BOLTZMANN EQUATION ON THE TORUS
... operator in order to create norms where you can compare the effect of the transport to the effect of the ...difficult in Φ-entropies. To show hypocoercivity for ... Voir le document complet
19
Hypocoercivity for kinetic equations with linear relaxation terms
... on the regularization properties of the evolution operator, but in some cases the hypoelliptic estimates also imply a result of relaxation to ...distinguished. In the ... Voir le document complet
9
Quantitative rates of convergence to equilibrium for the degenreate linear Boltzman equation on the Torus
... study the linear relaxation Boltzmann equation on the torus with a spatially varying jump rate which can be zero on large sections of the ...domain. In [ 5 ] ... Voir le document complet
22
Phi-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations
... properties in the case of diffusion equations of Fokker-Planck type, give new and simplified proofs, and then adapt these methods to a kinetic Fokker-Planck equation acting on a phase space with ... Voir le document complet
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QUANTITATIVE RATES OF CONVERGENCE TO EQUILIBRIUM FOR THE DEGENERATE LINEAR BOLTZMANN EQUATION ON THE TORUS
... 1.2.1. Hypocoercivity results when σ is strictly ...problem in kinetic theory. In the context of spatially inhomogeneous kinetic equations this is usually done using the tools of ... Voir le document complet
23
Stochastic particle transport in disordered media : beyond the Boltzmann equation
... of the average chord length on hT i, hRi and hϕi is clearly visible in ...consideration, for any mixing statistics, the respective observables become closer to those of the atomic mix ... Voir le document complet
247
Non linear finite volume schemes for the heat equation in 1D.
... 15]. In this sense a natural question is to generalize this methodology to 1D non linear schemes for the heat equation, trying to establish a systematic method to obtain bounds on some ... Voir le document complet
28
NULL CONTROLLABILITY OF THE STRUCTURALLY DAMPED WAVE EQUATION ON THE TWO-DIMENSIONAL TORUS
... WAVE EQUATION ON THE TWO-DIMENSIONAL TORUS PATRICIO GUZM ´ AN AND LIONEL ROSIER A BSTRACT ...investigate the null controllability of the wave equation with a Kelvin-Voigt damping ... Voir le document complet
31
Exponential relaxation to self-similarity for the superquadratic fragmentation equation
... result for the self-similar fragmentation operator L with a su- perquadratic fragmentation rate ...concerning the long-time behaviour of the fragmentation equa- tion ...extend the ... Voir le document complet
7
Time-convexity of the entropy in the multiphasic formulation of the incompressible euler equation
... OF THE MAIN RESULT Since the idea of Arnold [5] to consider the motion of an incompressible and inviscid fluid, described by the Euler equation, as a variational problem, namely a ... Voir le document complet
24
Adjoint Lattice Boltzmann Equation for Parameter Identification
... where the wave vector k is of the form k = 2mπ/N x (m integer) and φ some phase ...d)) in the expression (8) of γ i , i = 1, 2, 3, 4, having in mind the use of the adjoint ... Voir le document complet
16
Stability of global equilibrium for the multi-species Boltzmann equation in $L^\infty$ settings
... estimated in [15] in the case of mono-species with hard ...extend the result not only to multi-species but above all to hard potential and Maxwellian kernels (see rigorous definition ... Voir le document complet
23
About the use of entropy production for the Landau-Fermi-Dirac equation
... • Entropy production estimates also arise naturally in the study of long time behaviour of solutions to evolution ...Indeed, entropy acts in this case as a natural Lyapunov functional ... Voir le document complet
28
Introduction to the theory of random particle methods for Boltzmann equation
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
16
Mathematical derivation of the Boltzmann equation with boundary condition
... Bien qu’il ne s’agisse pas du sujet du pr´ esent travail, il ne semblait pas raison- nable de ne pas mentionner la seconde ´ etape de la r´ esolution du sixi` eme probl` eme de Hilbert : le passage du mod` ele cin´ ... Voir le document complet
533
Phi-entropy inequalities and Fokker-Planck equations
... is the dual (for the Lebesgue measure) of the generator Lf = div(D∇f )− < Da, ∇f > ...that the semigroup associated to L is ergodic and that its invariant probability measure µ ... Voir le document complet
7
A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation
... when the Navier-Stokes equations surely break down. In such a situation, one must resort to the resolution of the full kinetic ...kinetic equation requires the discretization of ... Voir le document complet
39
Entropy and relaxation processes Motivation
... The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au[r] ... Voir le document complet
18
A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation
... Consequently, the numerical techniques are often designed in such a way that the computa- tional cost is as low as ...possible. In this context, Monte Carlo methods have been the ... Voir le document complet
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