Fokker-Planck-Landau equations
ASYMPTOTIC-PRESERVING SCHEME FOR THE FOKKER-PLANCK-LANDAU-MAXWELL SYSTEM IN THE QUASI-NEUTRAL REGIME.
... Asymptotic-Preserving schemes have been recently used for numerous applications in the context of strong magnetic fields ([13, 4]) for the gyro-fluid limit as well as in fluid mechanics for the hydrodynamic limit ([23, ...
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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 ...
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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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Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations
... The Fokker-Planck formalism Consider a dilute suspension of rod-like particles (short fibers, nanofibers, functionalized carbon nanotubes or even rod-like ...the Fokker-Planck ...
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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 ...the Fokker-Planck modeling ...
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The kinetic Fokker-Planck equation with general force
... Comm. Math. Phys. 235, 2 (2003), 233-253 [9] Gualdani, M. P., Mischler, S., and Mouthot, C. Factorization of non- symmetric operators and exponential H-Theorem. hal-00495786. [10] Helffer, B., and Nier, F. Hypoelliptic ...
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Fractional Fokker-Planck Equation with General Confinement Force
... [30] S. Mischler and C. Mouhot. Stability, convergence to the steady state and elastic limit for the Boltzmann equation for diffusively excited granular media. Discrete and Continuous Dynamical Systems. Series A, ...
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Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations
... It is important to note that the fact of neglecting diffusion mechanisms represents the worst scenario from a numerical point of view because when diffusion effects are large enough the integration of the ...
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Transient Fokker-Planck Equation solved with SPH
... the diffusion coefficients defined as D ij = 1/2(gg T ) ij . The distinction between ˜ f i (t, X(t)) and f i (t, X(t)), due to the conceptual definition of the stochastic differential equations, is noteworthy in ...
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Fokker-Planck equation in bounded domain
... An other question is debated in the present paper: Which necessary and sufficient conditions must be placed on f , and what are the degrees of freedom on the solutions if F is not regular enough ? 1.2. An (partial) ...
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Equations de Fokker-Planck cinétiques : hypocoercivité et hypoellipticité
... Using Harris’s Theorem gives an alternative and very different strategy for proving quantitative exponential decay to equilibrium. It allows us to look at hypocoercive effects on the level of stochastic processes and to ...
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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
... above properties, including energy dissipation, at the semi-discrete level or with an explicit in time discretization, using the gradient flow approach, see also [ 4 ]. The symmetrization using the Scharfetter-Gummel ...
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Maximal estimates for the Kramers-Fokker-Planck operator with electromagnetic field
... of Fokker- Planck with an external magnetic field B e , which was initiated in the case of the torus T d (d = 2, 3) in [ 12 , 13 ], by considering R d and reintroducing an electric potential as in [ 4 ...
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Transient Fokker-Planck equation with SPH method : Application in seismic design
... The common method to solve stochastic differential equations consists in simulating samples of the response of the system [4]. However, the rate of convergence decreases with the desired statistical order [5]. For ...
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Transient Fokker-Planck-Kolmogorov equation solved with smoothed particle hydrodynamics method
... In the field of kinetic theory, the FPK equation presents a great interest for modeling complex fluid dynamics. Chauvi`ere and Lozinski [20, 21] present a spectral discretization approach to solve FPK equation, another ...
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Statistical deconvolution of the free Fokker-Planck equation at fixed time
... which is a Gaussian transition function associated with the standard Brownian motion (B t ) t≥0 . The probabilistic interpretation of the heat equation is built on this observation, and ν t can be viewed as the ...
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ON THE KRAMERS-FOKKER-PLANCK EQUATION WITH DECREASING POTENTIALS IN DIMENSION ONE
... special Fokker-Planck equation describing the Brownian motion in an external ...Kramers-Fokker- Planck (KFP, in short) equation is initially motivated by trend to equilibrium for con- fining ...
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Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature
... Then Hamilton’s equations 4 are written in the form ˙λ = ~ H(λ), where λ = (p, x) ∈ T ∗ M and ~ H is the Hamiltonian vector field associated with H. Integral curves of ~ H are called extremals, and their ...
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On the Long-Time Behavior of the Quantum Fokker-Planck Equation
... Rigorous well-posedness and existence of local in time solutions of the frictionless QFP equation, with self-consistent Coulomb interaction, have been studied in a precedent paper of one of the authors [ALMS]. The ...
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