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math.PR2018
Homogenization of an advection equation with locally stationary random coefficients
Tymoteusz Chojecki, Tomasz Komorowski
In the paper we consider the solution of an advection equation with rapidly changing coefficients $\partial_t u_\eps+(1/\eps)V(t\eps^{-2},x/{\eps})\cdot\nabla_x u_\eps=0$ for …
math.PR2018
Passive tracer in non-Markovian, Gaussian velocity field
Tymoteusz Chojecki
We consider the trajectory of a tracer that is the solution of an ordinary differential equation $\dot\bbX(t)=\bbV(t, \bbX(t)),\ X(0)=0$, with the right hand side, that is a statio…