Corpus ID: 119170296

# Analysis of a Stratified Kraichnan Flow

@article{Huang2017AnalysisOA,
title={Analysis of a Stratified Kraichnan Flow},
author={Jingyu Huang and Davar Khoshnevisan},
journal={arXiv: Probability},
year={2017}
}
• Published 2017
• Mathematics
• arXiv: Probability
• We consider the stochastic convection-diffusion equation $\partial_t u(t\,,{\bf x}) =\nu\Delta u(t\,,{\bf x}) + V(t\,,x_1)\partial_{x_2}u(t\,,{\bf x}),$ for $t>0$ and ${\bf x}=(x_1\,,x_2)\in\mathbb{R}^2$, subject to $\theta_0$ being a nice initial profile. Here, the velocity field $V$ is assumed to be centered Gaussian with covariance structure $\text{Cov}[V(t\,,a)\,,V(s\,,b)]= \delta_0(t-s)\rho(a-b)\qquad\text{for all s,t\ge0 and a,b\in\mathbb{R}},$ where $\rho$ is a… CONTINUE READING

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 52 REFERENCES