In this work we deal with the selection problem of flows of an irregular vector field. We first summarize an example from cite{CCS} of a vector field $b$ and a smooth approximation $b_epsilon$ for which the sequence $X^epsilon$ of flows of $b_epsilon$ 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.
On smooth approximations of rough vector fields and the selection of flows
Gennaro Ciampa;
2019
Abstract
In this work we deal with the selection problem of flows of an irregular vector field. We first summarize an example from cite{CCS} of a vector field $b$ and a smooth approximation $b_epsilon$ for which the sequence $X^epsilon$ of flows of $b_epsilon$ 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.File in questo prodotto:
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