Incompressible, inviscid limit of the compressible Navier-Stokes system
Annales de l'I.H.P. Analyse non linéaire, Volume 18 (2001) no. 2, p. 199-224
@article{AIHPC_2001__18_2_199_0,
     author = {Masmoudi, Nader},
     title = {Incompressible, inviscid limit of the compressible Navier-Stokes system},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     publisher = {Elsevier},
     volume = {18},
     number = {2},
     year = {2001},
     pages = {199-224},
     zbl = {0991.35058},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_2001__18_2_199_0}
}
Masmoudi, Nader. Incompressible, inviscid limit of the compressible Navier-Stokes system. Annales de l'I.H.P. Analyse non linéaire, Volume 18 (2001) no. 2, pp. 199-224. http://www.numdam.org/item/AIHPC_2001__18_2_199_0/

[1] Desjardins B., Grenier E., Low Mach number limit of compressible viscous flows in the whole space, Preprint.

[2] Desjardins B, Grenier E, Lions P.-L, Masmoudi N, Compressible incompressible limit with Dirichlet boundary condition, J. Math. Pures et Appl. 78 (5) (1999) 461-471. | MR 1697038 | Zbl 0992.35067

[3] Gallagher I, A remark on smooth solutions of the weakly compressible periodic Navier-Stokes equations, Preprint, 1999.

[4] Grenier E, Oscillatory perturbations of the Navier-Stokes equations, J Math. Pures et Appl. 9 76 (6) (1997) 477-498. | Zbl 0885.35090

[5] Hagstrom T, Lorenz J, All-time existence of classical solutions for slightly compressible flows, SIAM J. Math. Anal. 29 (3) (1998) 652-672. | MR 1617767 | Zbl 0907.76073

[6] Klainerman S, Majda A, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34 (5) (1981) 481-524. | MR 615627 | Zbl 0476.76068

[7] Klainerman S, Majda A, Compressible and incompressible fluids, Comm. Pure Appl. Math. 35 (5) (1982) 629-651. | MR 668409 | Zbl 0478.76091

[8] Kreiss H.O, Lorentz J, Naughton M.J, Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations, Adv. in Appl. Math. 12 (2) (1991) 187-214. | Zbl 0728.76084

[9] Lin C.K, On the incompressible limit of the compressible Navier-Stokes equations, Comm. Partial Differential Equations 20 (3-4) (1995) 677-707. | Zbl 0816.35105

[10] Lions P.L, Mathematical Topics in Fluid Dynamics, Vol. 1: Incompressible Models, Oxford University Press, 1996. | MR 1422251 | Zbl 0866.76002

[11] Lions P.L, Mathematical Topics in Fluid Dynamics, Vol. 2: Compressible Models, Oxford University Press, 1998. | MR 1637634 | Zbl 0908.76004

[12] Lions P.L, Masmoudi N, Incompressible limit for a viscous compressible fluid, J. Math. Pures Appl. 77 (1998) 585-627. | MR 1628173 | Zbl 0909.35101

[13] Lions P.L, Masmoudi N, On a free boundary barotropic model, Annales de l'IHP, Analyse Non Linaire 16 (1999) 373-410. | Numdam | MR 1687274 | Zbl 0917.76073

[14] Lions P.L, Masmoudi N, Une approche locale de le limite incompressibel, C. R. Acad. Sci. Paris Sr. I Math. 329 (5) (1999) 387-392. | MR 1710123 | Zbl 0937.35132

[15] Masmoudi N, The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary, Arch. Rational Mech. Anal. 142 (1998) 375-394. | Zbl 0915.76017

[16] Masmoudi N, Ekman layers of rotating fluids, the case of general initial data, Comm. Pure Appl. Math. 53 (4) (2000) 432-483. | MR 1733696 | Zbl 1047.76124

[17] Schochet S, Fast singular limits of hyperbolic PDEs, J. Differential Equations 114 (1994) 476-512. | MR 1303036 | Zbl 0838.35071

[18] Ukai S, The incompressible limit and the initial layer of the compressible Euler equation, J. Math. Kyoto Univ. 26 (2) (1986) 323-331. | MR 849223 | Zbl 0618.76074