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On smooth approximations of rough vector fields and the selection of flows

Ciampa, Gennaro and Crippa, Gianluca and Spirito, Stefano. (2019) On smooth approximations of rough vector fields and the selection of flows. Preprints Fachbereich Mathematik, 2019 (04).

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Official URL: https://edoc.unibas.ch/70492/

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Abstract

In this work we deal with the selection problem of flows of an irregular vector field. We first summarize an example from [4] of a vector field b and a smooth approximation $b_ε$ for which the sequence $X^ε$ of flows of $b_ε$ has subsequences converging to different flows of the limit vector field b. Furthermore, we give some heuristic ideas on the selection of a subclass of flows in our specific case.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Ciampa, Gennaro and Crippa, Gianluca
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:21 May 2019 09:10
Deposited On:21 May 2019 09:10

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