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- W1447958654 abstract "We present a divergence free vector field in the Sobolev space $H^1$ such that the flow associated to the field does not belong to any Sobolev space. The vector field is deterministic but constructed as the realization of a random field combining simple elements. This construction illustrates the optimality of recent quantitative regularity estimates as it gives a straightforward example of a well-posed flow which has nevertheless only very weak regularity." @default.
- W1447958654 created "2016-06-24" @default.
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- W1447958654 date "2015-07-17" @default.
- W1447958654 modified "2023-09-27" @default.
- W1447958654 title "Critical non Sobolev regularity for continuity equations with rough force fields" @default.
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