All-time existence of classical solutions for slightly compressible flows

SIAM Journal on Mathematical Analysis

Volumn 29, Issue 3, 1998, Pages 652-672

  Hagstrom, Thomas ^a   Lorenz, Jens ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

All time existence; Compressible flows; Multiple scales; Navier Stokes equations

Indexed keywords

EID: 0032370730     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141097315312     Document Type: Article

References (9)

1. T. HAGSTROM AND J. LORENZ, All-time existence of smooth solutions to PDEs of mixed type and the invariant subspace of uniform states, Adv. Appl. Math., 16 (1995), pp. 219-257.
2. D. HOFF, Continuous dependence on initial data for discontinuous solutions of the Navier-Stokes equations for one-dimensional, compressible flow, SIAM J. Math. Anal., 27 (1996), pp. 1193-1211.
3. S. KLAINERMAN AND A. MAJDA, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math., 34 (1981), pp. 481-525.
4. S. KLAINERMAN AND A. MAJDA, Compressible and incompressible fluids, Comm. Pure Appl. Math., 35 (1982), pp. 629-651.
5. H.-O. KREISS AND J. LORENZ, Initial-Boundary Value Problems and the Navier-Stokes Equations, Academic Press, New York, 1989.
6. H.-O. KREISS, J. LORENZ, AND M. J. NAUGHTON, Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations, Adv. Appl. Math., 12 (1991), pp. 187-214.
7. P.-L. LIONS, Existence globale de solutions pour les equations de Navier-Stokes compressibles isentropiques, C. R. Acad. Sci. Paris, 316 (1993), pp. 1335-1340.
8. P.-L. LIONS, Compacite des solutions des equations de Navier-Stokes compressibles isentropiques, C. R. Acad. Sci. Paris, 317 (1993), pp. 115-120.
9. P.-L. LIONS, Limites incompressible et acoustique pour des fluides visqueux, compressibles et isentropique, C. R. Acad. Sci. Paris, 317 (1993), pp. 1197-1202.