On solutions of the transport equation in the presence of singularities
DOI10.1090/tran/8701zbMath1505.35313arXiv2006.09200OpenAlexW4220990318MaRDI QIDQ5039056
Nicholas Sharples, Evelyne Miot
Publication date: 12 October 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09200
vortex dynamicsrenormalizationtransport equationbox-counting dimensionavoidance of setsdimension printnon-BV singularities
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Measures and integrals in product spaces (28A35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Transport equations (35Q49)
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