Optimality of integrability estimates for advection-diffusion equations

Bianchini, Stefano and Colombo, Maria and Crippa, Gianluca and Spinolo, Laura Valentina. (2017) Optimality of integrability estimates for advection-diffusion equations. Nonlinear Differential Equations and Applications, 24 (33). p. 19.

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Official URL: http://edoc.unibas.ch/58738/

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We discuss Lp integrability estimates for the solution u of the advection–diffusion equation ∂tu+div(bu)=Δu, where the velocity field b∈LrtLqx. 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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa)
UniBasel Contributors:Crippa, Gianluca
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:08 Feb 2020 14:47
Deposited On:26 Jan 2018 15:15

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