This is a preview of subscription content, log in via an institution to check access.
References
R. Agemi, The incompressible limit of compressible fluid motion in a bounded domain, Proc. Japan Acad. Ser. A, 57 (1981), 291–293.
K. Asano, On the incompressible limit of the compressible Euler equation, Japan J, Appl. Math. 4 (1987), 455–488.
H. Bessaïh, Limite incompressible de modèles de fluides compressibles, Thesis, Dept. Math., Univ. Alger (1992).
H. Beirão da Veiga, Stationary motions and the incompressible limit for compressible viscous fluids, Houston J. Math. 13 (1987), 527–544.
H. Beirão da Veiga, An L p-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions, Comm. Math. Physics 109 (1987), 229–248.
H. Beirão da Veiga, Perturbation theory and well-posedness in Hadamard's sense of hyperbolic initial-boundary value problems, J. Nonlinear Analysis, Th., Meth. Appl. 22 (1994), 1285–1308.
H. Beirão da Veiga, Perturbation theorems for linear hyperbolic mixed problems and applications to the compressible Euler equations, Comm. Pure Appl. Math. 46 (1993), 221–259.
H. Beirão da Veiga, The initial boundary value problem for the non-barotropic compressible Euler equations: structural stability and data dependence, Ann. Inst. H. Poincaré: Analyse non linéaire, 11 (1994), 297–311.
H. Beirão da Veiga, On the singular limit for slightly compressible fluids, Calculus of Variations and PDEs., 2 (1994), 205–218.
H. Beirão da Veiga, Singular limits in fluid dynamics, to appear in Rend. Sem. Mat. Univ. Padova.
H. Beirão da Veiga, On the sharp singular limit for slightly compressible fluids, Math. Methods Appl. Sciences, 17 (1994).
D. G. Ebin, The motion of slightly compressible fluids viewed as motion with a strong constraining force, Annals of Math. 105 (1977), 141–200.
D. G. Ebin, Motion of slightly compressible fluids in a bounded domain, Comm. Pure Appl. Math., 35 (1982), 451–485.
H.-O. Kreiss, J. Lorenz & M. J. Naughton, Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes Equations, Adv. Appl. Math. 12 (1991), 187–214.
S. Klainerman & A. Majda, Singular limit of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34 (1981), 481–524.
S. Klainerman & A. Majda, Compressible and incompressible fluids, Comm. Pure Appl. Math. 35 (1982), 629–653.
A. Majda, Compressible fluid flow and systems of conservation laws in several space dimensions, Springer-Verlag (1984).
B. Rubino, Singular limits in the data space for the equations of magneto-fluid dynamics, to appear.
S. Schocket, The compressible Euler equation in a bounded domain: Existence of solutions and the incompressible limit, Comm. Math. Phys. 104 (1986), 49–75.
S. Schochet, Singular limits in bounded domains for quasi-linear symmetric hyperbolic systems having a vorticity equation, J. Diff. Eq. 68 (1987), 400–428.
S. Schocket, Symmetric hyperbolic systems with a large parameter, Comm. Part. Diff. Eqs. 12 (1987), 1627–1651.
S. Schochet, Fast singular limits of hyperbolic PDEs, to appear.
S. Ukai, The incompressible limit and the initial layer of the incompressible Euler equation, J. Math. Kyoto Univ. 26 (1986) 323–331.
Author information
Authors and Affiliations
Additional information
Communicated by P. -L. Lions
Rights and permissions
About this article
Cite this article
Beirão da Veiga, H. Singular limits in compressible fluid dynamics. Arch. Rational Mech. Anal. 128, 313–327 (1994). https://doi.org/10.1007/BF00387711
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00387711