Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems-Reference-Cited by-同舟云学术

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Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems

Published:2021-09-27 Issue:3 Volume:242 Page:1445-1478
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Fefferman Charles L.,Pooley Benjamin C.,Rodrigo José L.

Funder

European Research Council

Division of Mathematical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00205-021-01708-6.pdf

Reference17 articles.

1. Aizenman, M.: On vector fields as generators of flows: a counterexample to Nelson’s conjecture. Ann. Math. (2) 107(2), 287–296, 1978

2. Ambrosio, L.: Transport equation and Cauchy problem for $$BV$$ vector fields. Invent. Math. 158(2), 227–260, 2004

3. Ambrosio, L.: Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Rev. Mat. Complut. 30(3), 427–450, 2017

4. Arms, R., Hama, F.: Localized-induction concept on a curved vortex and motion of an elliptic vortex ring. Phys. Fluids 8(4), 553–559, 1965

5. Baker, S., Fraser, J.M., Máthé, A.: Inhomogeneous self-similar sets with overlaps. Ergodic Theory Dyn. Syst. 39(1), 1–18, 2019

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On solutions of the transport equation in the presence of singularities;Transactions of the American Mathematical Society;2022-07-29

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