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Convection–diffusion equations with random initial conditions

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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… Click to show full abstract

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.

Keywords: convection diffusion; equations random; initial conditions; diffusion equations; random initial

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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