Publication

Optimality of integrability estimates for advection–diffusion equations

Maria Colombo
2017
Journal paper

Abstract

We discuss Lp integrability estimates for the solution u of the advection–diffusion equation ∂tu+div(bu)=Δu, where the velocity field b∈LtrLxq. We first summarize some classical results proving such estimates for certain ranges of the exponents r and q. Afterwards we prove the optimality of such ranges by means of new original examples. © 2017, Springer International Publishing AG.

Official source

https://infoscience.epfl.ch/record/274605?ln=en

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Optimality of integrability estimates for advection–diffusion equations

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