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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Abstract
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 |
| Publisher: | Elsevier |
| ISSN: | 1021-9722 |
| e-ISSN: | 1420-9004 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Language: | English |
| Identification Number: | |
| edoc DOI: | |
| Last Modified: | 07 Feb 2020 12:27 |
| Deposited On: | 26 Jan 2018 15:15 |
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