Caflisch, Russel E. Global existence for a nonlinear theory of bubbly liquids. (English) Zbl 0571.76110 Commun. Pure Appl. Math. 38, 157-166 (1985). See the preview in Zbl 0542.76129. MSC: 76T99 Multiphase and multicomponent flows Keywords:global existence of smooth solutions; effective theory of bubbly liquids; initial value problem; initial boundary value problem; one dimension; semilinear form of the equations; a priori bounds; energy conservation; nonlinear Gronwall-like inequality Citations:Zbl 0542.76129 PDFBibTeX XMLCite \textit{R. E. Caflisch}, Commun. Pure Appl. Math. 38, 157--166 (1985; Zbl 0571.76110) Full Text: DOI References: [1] and , On the acoustical dynamics of bubble clouds, preprint. [2] Batchelor, Fluid Dynamics Trans. 4 pp 425– (1969) [3] Caflisch, J. Fl. Mech. [4] Hsieh, Appl. Sci. Res. 38 pp 305– (1982) [5] Kuznetsov, J. Fl. Mech. 85 pp 85– (1978) [6] Miksis, JASA [7] Nakoryakov, Fl. Mec. (sov.) 10 pp 51– (1981) [8] Prosperetti, Appl. Sci. Res. 38 pp 145– (1982) [9] Van Wijngaarden, Ann. Rev. Fl. Mech. 4 pp 369– (1972) 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.