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arXiv · 1710.00121

Convection-Diffusion Equations with Random Initial Conditions

Miłosz Krupski
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Abstract

We consider an evolution equation generalising the viscous Burgers equation supplemented by an initial condition which is a homogeneous random field. We develop a non-linear framework enabling us to show the existence and regularity of solutions as well as their long time behaviour.

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Miłosz Krupski. 2017-09-30. Convection-Diffusion Equations with Random Initial Conditions. https://doi.org/10.1016/j.jmaa.2018.10.060

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