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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...
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 ...
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...
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 ...
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...
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...
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...
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...
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...
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...
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...
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 ...

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