On the Linearized Balescu–Lenard Equation
نویسندگان
چکیده
منابع مشابه
The Linearized Crocco Equation
In this paper, we study the existence and uniqueness of a degenerate parabolic equation, with nonhomogeneous boundary conditions, coming from the linearization of the Crocco equation [12]. The Crocco equation is a nonlinear degenerate parabolic equation obtained from the Prandtl equations with the so-called Crocco transformation. The linearized Crocco equation plays a major role in stabilizatio...
متن کاملOn the Linearized Balescu-lenard Equation
Abstract. The Balescu-Lenard equation from plasma physics is widely considered to include a highly accurate correction to Landau’s fundamental collision operator. Yet so far it has seen very little mathematical study. We perform an extensive linearized analysis of this equation, which includes determining the asymptotic behavior of the new components of the linearized operator and establishing ...
متن کاملOn Spectrum of the Linearized 3d Euler Equation
We investigate essential spectrum of the Euler equation linearized about an arbitrary smooth steady flow in dimension 3. It is proved that for every Lyapunov-Oseledets exponent μ of the associated bicharacteristic-amplitude system, the circle of radius e has a common point with the spectrum. If, in addition, μ is attained on an aperiodic point, then the spectrum contains the entire circle.
متن کاملLinearized numerical schemes for the Boussinesq equation
Two different linearized schemes are applied to a parametric finite-difference scheme concerning the numerical solution of the Boussinesq equation. At the first linearized scheme the nonlinear term of the equation is substituted by an appropriate value, while at the second scheme we use Taylor’s expansion. Both schemes are analyzed for local truncation error, stability and convergence. The resu...
متن کاملPointwise Behavior of the Linearized Boltzmann Equation on a Torus
We study the pointwise behavior of the linearized Boltzmann equation on torus for non-smooth initial perturbations. The result reveals both the fluid and kinetic aspects of this model. The fluid-like waves are constructed as part of the long-wave expansion in the spectrum of the Fourier modes for the space variable, and the time decay rate of the fluid-like waves depends on the size of the doma...
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: Communications in Partial Differential Equations
سال: 2007
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605300601088609