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ASYMPTOTIC EQUIVALENCE OF ESTIMATING A POISSON INTENSITY AND A POSITIVE DIFFUSION DRIFT
ASYMPTOTIC EQUIVALENCE ESTIMATING A POISSON INTENSITY POSITIVE DIFFUSION DRIFT
2015/8/25
We consider a diffusion model of small variance type with positive drift density varying in a nonparametric set. We investigate Gaussian and Poisson approximations to this model in the sense of asympt...
Upper bounds for the maximum of a random walk with negative drift
Limit theorems random walks renewal theorem
2011/9/21
Abstract: Consider a random walk $S_n=\sum_{i=0}^n X_i$ with negative drift. This paper deals with upper bounds for the maximum $M=\max_{n\ge 1}S_n$ of this random walk in different settings of power ...
Fractional Laplacian with singular drift
fractional Laplacian gradient perturbations singular drift
2011/9/13
Abstract: For $\alpha \in (1,2)$ we consider the equation $\partial_t u = \Delta^{\alpha/2} u - r b \cdot \nabla u$, where $b$ is a divergence free singular vector field not necessarily belonging to t...
On the differentiability of the solution to an equation with drift and fractional diffusion
differentiability solution equation drift fractional diffusion
2011/1/20
We consider an equation with drift and either critical or supercritical fractional diffusion.
Under a regularity assumption for the vector field that is marginally stronger than what is required for ...
Transport barrier for the radial diffusion due to the ExB drift motion of guiding centers in cylindrical confinement geometry
Transport barrier for the radial diffusion ExB drift motion cylindrical confinement geometry
2010/12/28
We consider the radial transport of test particles due to the E×B drift motion in the guiding center approximation. In a configuration where the magnetic field is constant and uniform in linear device...
Test of some numerical limiters for the conservative PSM scheme for 4D Drift-Kinetic simulations
numerical simulation conservative scheme ITER plasma turbulence
2011/3/2
The purpose of this work is simulation of magnetised plasmas in the ITER project framework. In this context, Vlasov-Poisson like models are used to simulate core turbulence in the tokamak in a toroida...
Degenerate diffusion with a drift potential: a viscosity solutions approach, joint work with I. C. Kim, truncated version
drift potential viscosity solutions approach
2010/11/23
This is a truncated version of the paper "Degenerate diffusion with a drift potential: a viscosity solutions approach", co-authored with I. C. Kim. The purpose of this version is to withdraw the claim...
Homogenization of the G-equation with incompressible random drift in two dimensions
the G-equation incompressible dimensions
2010/11/8
We study the homogenization limit of solutions to the G-equation with random drift. This Hamilton-Jacobi equation is a model for flame propagation in a turbulent fluid in the regime of thin flames. F...
Measure valued solutions of sub-linear diffusion equations with a drift term
sublinear diffusion concentration phenomena propagation of singularities gradient flows
2010/12/9
In this paper we study nonnegative, measure valued solutions of the initial value problem for
one-dimensional drift-diffusion equations when the nonlinear diffusion is governed by an increasing C1 fu...
Isolated zeros for Brownian motion with variable drift
Brownian motion H¨older continuity Cantor function
2010/12/8
It is well known that standard one-dimensional Brownian motion B(t) has no isolated zeros almost surely. We show that for any < 1/2 there are -H¨older continuous functions f(t) for which the proces...
Absolute continuity under flows generated by SDE with measurable drift coefficient
Stochastic differential equation strong solution density estimate
2010/12/14
We consider the Itˆo SDE with non-degenerate diffusion coefficient and measurable drift
coefficient. Under the condition that the gradient of the diffusion coefficient and the divergences of the...
Stationary distributions for jump processes with inert drift
Stationary distributions jump processes inert drift
2010/12/6
We analyze jump processes Z with “inert drift” determined by a “memory”process S. The state space of (Z, S) is the Cartesian product of the unit circle and the real line. We prove that the stationary ...
专著信息
书名
Quasineutral limit of a nonlinear drift-diffusion models for semiconductors
语种
英文
撰写或编译
作者
I. Gasser,肖玲,P. A.Markowich,王术
第一作者单位
出版社
J. Math. Anal. Appl., 268(1)(2002), 184-199
出版地
出版日期
2002年
...