On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation-Reference-Cited by-同舟云学术

On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation

Published:2020-06-06 Issue:3 Volume:22 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Cao Chongsheng,Lin Quyuan,Titi Edriss S.

Funder

Einstein Stiftung Berlin

John Simon Guggenheim Memorial Foundation

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/s00021-020-00495-6.pdf

Reference53 articles.

1. Adams, R.A.: Sobolev Spaces. Academic Press, New York (1975)

2. Blumen, W.: Geostrophic adjustment. Rev. Geophys. Space Phys. 10, 485–528 (1972)

3. Brenier, Y.: Homogeneous hydrostatic flows with convex velocity profiles. Nonlinearity 12(3), 495–512 (1999)

4. Brenier, Y.: Remarks on the derivation of the hydrostatic Euler equations. Bull. Sci. Math. 127(7), 585–595 (2003)

5. Bresch, D., Guillén-González, F., Masmoudi, N., Rodríguez-Bellido, M.A.: On the uniqueness of weak solutions of the two-dimensional primitive equations. Differ. Integral Equ. 16, 77–94 (2003)

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