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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★ 1 cited
Fluctuations of random semi-linear advection equations
Yu Gu, Tomasz Komorowski, Lenya Ryzhik
We consider a semi-linear advection equation driven by a highly-oscillatory space-time Gaussian random field, with the randomness affecting both the drift and the nonlinearity. In…