The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary-Reference-Cited by-同舟云学术

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The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

Published:2020-04-06 Issue:2 Volume:237 Page:779-827
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Kukavica Igor,Vicol Vlad,Wang Fei

Funder

Division of Mathematical Sciences

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-020-01517-3.pdf

Reference56 articles.

1. Alexandre, R., Wang, Y.-G., Xu, C.-J., Yang, T.: Well-posedness of the Prandtl equation in Sobolev spaces. J. Am. Math. Soc. 28, 745–784, 2014

2. Anderson, C.R.: Vorticity boundary conditions and boundary vorticity generation for two-dimensional viscous incompressible flows. J. Comput. Phys. 81(1), 72–97, 1989

3. Bardos, C., Titi, E.S.: Mathematics and turbulence: where do we stand? 2013. arXiv preprint arXiv:1301.0273

4. Bona, J.L., Wu, J.: The zero-viscosity limit of the 2D Navier–Stokes equations. Stud. Appl. Math. 109(4), 265–278, 2002

5. Caflisch, R., Sammartino, M.: Navier-Stokes equations on an exterior circular domain: construction of the solution and the zero viscosity limit. C. R. Acad. Sci. Paris Sér. I Math. 324(8), 861–866, 1997

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