Fokker-Planck-Landau equation
An entropic scheme for an angular moment model for the classical Fokker-Planck-Landau equation of electrons
... the Fokker-Planck-Landau kinetic ...the Fokker-Planck-Landau kinetic equation coupled with the Maxwell equations which describe the time evolution of the electro- magnetic ...
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Positive, conservative, equilibrium state preserving and implicit difference schemes for the isotropic Fokker-Planck-Landau equation
... The Fokker-Planck-Landau equation (FPLE) is commonly used in plasma physics when study- ing kinetic effects between charged particles under Coulomb ...isotropic ...
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About positive, energy conservative and equilibrium state preserving schemes for the isotropic Fokker-Planck-Landau equation
... for Fokker-Planck type equations is the Chang and Cooper method ...linear Fokker-Planck equations and it was shown in [10] that in this case this method is positive and preserves the ...
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Comparison of numerical schemes for Fokker-Planck-Landau 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] ...
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An entropic scheme for an angular moment model for the classical Fokker-Planck equation of electrons
... Abstract. In plasma physics domain, the electron transport is described with the Fokker- Planck-Landau equation. The direct numerical solution of the kinetic equation is usu- ally ...
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ASYMPTOTIC-PRESERVING SCHEME FOR THE FOKKER-PLANCK-LANDAU-MAXWELL SYSTEM IN THE QUASI-NEUTRAL REGIME.
... scheme, Fokker-Planck-Landau equation, Maxwell equations, quasi-neutral limit, angular M1 moments ...the Fokker- Planck-Landau equation describes electron transport ...
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Unstable manifold expansion for Vlasov-Fokker-Planck equation
... of Landau damping, Lenard and Bernstein have studied how a small velocity diffusion [10], modeled by a Fokker-Planck operator, would affect Landau’s linear ...Vlasov equation. In this paper, ...
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Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control
... the Fokker-Planck equation, posed on a smooth bounded domain of R d , with a localized drift ...this equation is locally controllable to regular nonzero ...heat equation with a ...
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A note on Fokker-Planck equations and graphons
... Equation (1.7) proves that the application W 7→ µ W is (H¨ older-)continuous and, thus, that similar graphons (in cut-norm) leads to similar particle behaviors. However, it does not say anything whether two ...
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Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential
... e −V (x) dx = 1 and σ can be evaluated in some regimes in terms of the spectral gap between zero and the real parts of other nonzero eigenvalues. Since the change of the unknown from (1.1) to (1.2) is essentially given ...
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A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases
... Keywords: Fokker-Planck model, Ellipsoidal-Statistical model,polyatomic gas, H-theorem, Prandtl number 1 Introduction Numerical simulations of rarefied gas flows are fundamental tools to study the behavior ...
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Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation
... for all N, T, r > 0 and all 1-Lipschitz observables h on R 2d . Here the constant C has been obtained in Theorem 1 and the constant D ′ depends only on the point (x 0 , v 0 ) and the coefficients of the ...
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Equations de Fokker-Planck cinétiques : hypocoercivité et hypoellipticité
... or sub-geometric convergence results proved in [9, 10, 21]. We also emphasize that our results for kinetic Fokker-Planck equation with general potentials are to our knowledge new. We carry out all ...
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Phi-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations
... consequence of H¨ormander’s hypoelliptic theory, which covers simultaneously reg- ularization properties and large time behaviour. One can refer for instance to ?,?,? and, much earlier, to ? . The seed for such an ...
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A stochastic Fokker-Planck equation and double probabilistic representation for the stochastic porous media type equation.
... macroscopic equation is a linear random partial differential equation with diffusion being 1 and with a drift which is the realisation of a Brownian motion W ...the equation has a random second term, ...
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Phi-entropy inequalities and Fokker-Planck equations
... We present new Φ-entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure. Applications to the long time behaviour of ...
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Direct numerical simulation of complex viscoelastic flows via fast lattice-Boltzmann solution of the Fokker–Planck equation
... microscopic equation is solved by a lattice-Boltzmann method. The Fokker–Planck equa- tion is solved using an operator-splitting procedure that allows to solve the configurational part by a GPU ...
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Quaternionic structure and analysis of some Kramers-Fokker-Planck operators
... Kramers-Fokker- Planck evolution with quadratic potentials, even in dimension d = 1 , is reduced to some linear dynamics on C 4 which are easily computed after elucidating some quaternionic ...
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Asymptotic behavior of Nernst-Planck equation
... Beyond free energy and entropy methods, the study of the large time asymptotics of the Poisson-Nernst-Planck system involves various tools of nonlinear analysis. Proving an exponential rate of convergence is in- ...
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Effect of the inverse Langevin approximation on the solution of the Fokker-Planck equation of non-linear dilute polymer
... ( x )( H ( x ) xx ) dx − I . (20) I being the unit tensor (takes the value 1 in the 1D case). We must notice with respect to Eq. (14) that this equation de- fines the time evolution of the distribution function, ...
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