On the Vanishing Viscosity Limit of 3D Navier-Stokes Equations under Slip Boundary Conditions in General Domains

Author:

Berselli Luigi Carlo,Spirito Stefano

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference47 articles.

1. Adams, R.A., Fournier J.J.F.: Sobolev spaces. Second ed., Pure and Applied Mathematics (Amsterdam), Vol. 140, Amsterdam: Elsevier/Academic Press, 2003

2. Asano, K.: Zero-viscosity limit of the incompressible Navier-Stokes equation. II, Mathematical analysis of fluid and plasma dynamics, I (Kyoto, 1986), Kyoto: Sūrikaisekikenkyūsho Kōkyūroku, 1988, no. 656, pp. 105–128

3. Bardos C.: Existence et unicité de la solution de l’équation d’Euler en dimension deux. J. Math. Anal. Appl. 40, 769–790 (1972)

4. Beirão da Veiga H.: Existence and asymptotic behavior for strong solutions of the Navier-Stokes equations in the whole space. Indiana Univ. Math. J. 36, 149–166 (1987)

5. Beirão da Veiga H.: Kato’s perturbation theory and well-posedness for the Euler equations in bounded domains. Arch. Rat. Mech. Anal. 104, 367–382 (1988)

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