On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations-Reference-Cited by-同舟云学术

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On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations

Published:2022-03-28 Issue:2 Volume:24 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Kukavica Igor,Nguyen Trinh T.,Vicol Vlad,Wang Fei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s00021-021-00645-4.pdf

Reference63 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. (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? arXiv preprint arXiv:1301.0273, (2013)

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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3. Validity of Prandtl Expansions for Steady MHD in the Sobolev Framework;SIAM Journal on Mathematical Analysis;2023-06-21

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