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We study the behavior of the Yang-Mills flow for unitary connections on compact and non-compact oriented surfaces with varying metrics. The flow can be used to define a one dimensional foliation on th...
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
We consider the evolution of a quantity advected by a compressible flow and subject to diffusion. When this quantity is scalar it can be, for instance, the temperature of the flow or the concentration...
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface.The idea is to apply the recently developed phase flow method [L. Ying, E.J. Cande `s,...
We consider the motion of a particle governed by a weakly random Hamiltonian flow. We identify temporal and spatial scales on which the particle trajectory converges to a spatial Brownian motion. The ...
We consider a reaction-diffusion-advection equation with a nonlinearity of the KPP type in a cellular flow. We show that the minimal pulsating traveling front speed c∗(A) in a flow ofamplitude A...
DIFFUSION AND MIXING IN FLUID FLOW     DIFFUSION  MIXING  FLUID FLOW       2015/7/14
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the deviation of the sol...
We consider the movement of a particle advected by a random flow of the form v + δF(x), with v ∈ Rd a constant drift, F(x) – the fluctuation – given by a zero mean, stationary random field and δ  1 s...
In this paper we consider the motion of a tracer in a flow that is locally self-similar and whose correlations decay at infinity but at the rate that does not guarantee that the flow does not have ”me...
The explosion problem in a flow     explosion problem  a flow       2015/7/14
We consider the explosion problem in an incompressible flow introduced in [5]. We use a novel Lp − L∞ estimate for elliptic advection-diffusion problems to show that the explosion threshold obey...
Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if th...
This paper deals with a new ctitious domain coupling algorithm between a rigid body and an unsteady compressible uid ow.
The couette flow of a viscous fluid in a channel, partially filled with a porous medium has been analyzed. The lower part of the channel is occupied by a porous medium, while the upper part is occupie...
In this letter, the differential transform method (DTM) is applied to the axisymmetric stagnation flow towards a shrinking sheet gives a system of nonlinear ordinary differential equations. The approx...

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