Convection-Diffusion Equations with Random Initial Conditions

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.

References in corpus (2)

• Ten equivalent definitions of the fractional Laplace operator
• Asymptotic behaviour of solutions to fractional diffusion-convection equations