Finite-Time Singularity Formation for Strong Solutions to the Axi-symmetric 3D Euler Equations-Reference-Cited by-同舟云学术

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Finite-Time Singularity Formation for Strong Solutions to the Axi-symmetric 3D Euler Equations

Published:2019-10-29 Issue:2 Volume:5 Page:
ISSN:2524-5317
Container-title:Annals of PDE
language:en
Short-container-title:Ann. PDE

Author:

Elgindi Tarek M.,Jeong In-Jee

Funder

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,General Physics and Astronomy,Mathematical Physics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s40818-019-0071-6.pdf

Reference69 articles.

1. Beale, J.T., Kato, T., Majda, A.: Remarks on the breakdown of smooth solutions for the $$3$$-D Euler equations. Commun. Math. Phys. 94(1), 61–66 (1984)

2. Bourgain, J., Li, D.: Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. Invent. Math. 201(1), 97–157 (2015)

3. Bourgain, J., Li, D.: Strong illposedness of the incompressible Euler equation in integer $$C^m$$ spaces. Geom. Funct. Anal. 25(1), 1–86 (2015)

4. Bradshaw, Z., Tsai, T.-P.: Forward discretely self-similar solutions of the Navier–Stokes equations II. Ann. Henri Poincaré 18(3), 1095–1119 (2017)

5. Buckmaster, T., De Lellis, C., Székelyhidi, L. Jr., Vicol, V.: Onsager’s conjecture for admissible weak solutions. ArXiv e-prints, January (2017)

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