# 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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## 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 Ciampa, Gennaro and Crippa, Gianluca Preprint Universität Basel English 21 May 2019 09:10 21 May 2019 09:10

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