Klainerman, Sergiu; Majda, Andrew Compressible and incompressible fluids. (English) Zbl 0478.76091 Commun. Pure Appl. Math. 35, 629-651 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 191 Documents MSC: 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 76B99 Incompressible inviscid fluids Keywords:singular convergence of compressible ideal to incompressible limit; general uniform stability; initial pressure variation small; long-time existence for large amplitude initial data; uniformly valid asymptotic expansion; linearized acoustics PDF BibTeX XML Cite \textit{S. Klainerman} and \textit{A. Majda}, Commun. Pure Appl. Math. 35, 629--651 (1982; Zbl 0478.76091) Full Text: DOI OpenURL References: [1] Beale, Math. Comp. (1981) [2] Cantor, Compositio Math. 38 pp 3– (1979) [3] Ebin, Ann. of Math. 105 pp 141– (1977) [4] Ebin, Comm. Pure Appl. Math. [5] Kato, Arch. Rational Mech. Anal. 58 pp 181– (1975) [6] Kato, J. Functional Anal. 9 pp 296– (1972) [7] Klainerman, Comm. Pure Appl. Math. [8] and , Fluid Mechanics, Pergamon Press, New York, 1959. [9] McGrath, Arch. Rational Mech. Anal. 27 pp 229– (1968) [10] Moser, Ann. Sco. Norm. Pisa 20 pp 265– (1966) [11] Kreiss, Comm. Pure Appl. Math. 33 pp 399– (1982) [12] and , Problems with different time scales for nonlinear partial differential equations, preprint. · Zbl 0506.35006 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.