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August 1, 2017
Optimality of integrability estimates for advection–diffusion equations
research article
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.
Type
research article
Author(s)
Date Issued
2017-08-01
Volume
24
Issue
4
Start page
33
Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
February 13, 2020
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