Growth of Sobolev norms and loss of regularity in transport equations
We consider transport of a passive scalar advected by an irregular divergence-free vector field. Given any non-constant initial data [Formula: see text], [Formula: see text], we construct a divergence-free advecting velocity field [Formula: see text] (depending on [Formula: see text]) for which the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
NLM (Medline)
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |