Morawetz, Cathleen S. An alternative proof of Di Perna’s theorem. (English) Zbl 0763.35056 Commun. Pure Appl. Math. 44, No. 8-9, 1081-1090 (1991). We simplify Serre’s approach [D. Serre, J. Math. Pures Appl., IX. Ser. 65, 423-468 (1986; Zbl 0601.35070)] and extend it to equations such as those for flow that is not subsonic. Cited in 11 Documents MSC: 35L60 First-order nonlinear hyperbolic equations 76G25 General aerodynamics and subsonic flows 76H05 Transonic flows Keywords:method of compensated compactness; viscous solutions; family of entropy pairs; Tartar-Murat relation Citations:Zbl 0601.35070 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Di Perna, Arch. Rat. Mech. Anal. 82 pp 27– (1983) [2] Murat, Ann. Scuola Norm. Sup. Pisa 5 pp 489– (1978) [3] Compensated compactness and applications to partial differential equations, Nonlinear Analysis and Mechanics, Herriot-Watt Symposium IV, 1979, pp. 136–192, Research Notes in Mathematics, Pitman, Edinburgh. [4] Serre, Jour. de Math. Pures et App. 65 pp 423– (1986) [5] Morawetz, Comm. Pure Appl. Math. 38 pp 797– (1985) [6] Friedrichs, Comm. Pure Appl. Math. 11 pp 333– (1958) [7] Morawetz, Comm. Pure Appl. Math. 11 pp 315– (1958) 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.