Fermi–Dirac–Fokker–Planck equation: Well-posedness & long-time asymptotics
نویسندگان
چکیده
منابع مشابه
Fermi-Dirac-Fokker-Planck Equation: Well-posedness & Long-time Asymptotics
A Fokker-Planck type equation for interacting particles with exclusion principle is analysed. The nonlinear drift gives rise to mathematical difficulties in controlling moments of the distribution function. Assuming enough initial moments are finite, we can show the global existence of weak solutions for this problem. The natural associated entropy of the equation is the main tool to derive uni...
متن کاملQuantum hydrodynamics: Well-posedness and asymptotics
In this talk, we consider the recent results on well-posedness and small asymptotic analysis on the quantum hydrodynamic model which takes the form of Euler-Poisson with dispersion.
متن کاملWell-posedness of Second Order Evolution Equation on Discrete Time
We characterize the well-posedness for second order discrete evolution equations in UMD spaces by means of Fourier multipliers and R-boundedness properties of the resolvent operator which defines the equation. Applications to semilinear problems are given.
متن کاملWell-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
We investigate compactly supported solutions for the thin-film equation with linear mobility in the regime of perfect wetting. This problem has already been addressed by Carrillo and Toscani, proving that the source-type self-similar profile is a global attractor of entropy solutions with compactly supported initial data. Here we study small perturbations of source-type self-similar solutions a...
متن کاملThe Well-posedness Ofthe Kuramoto-sivashinsky Equation
The Kuramoto-Sivashinsky equation arises in a variety of applications, among which are modeling reaction-diffusion systems, flame-propagation and viscous flow problems. It is considered here, as a prototype to the larger class of generalized Burgers equations: those consist of quadratic nonlinearity and arbitrary linear parabolic part. We show that such equations are well-posed, thus admitting ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2009
ISSN: 0022-0396
DOI: 10.1016/j.jde.2009.07.018