Solonnikov, V. A. Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid. (English) Zbl 0451.35092 J. Sov. Math. 14, 1120-1133 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 38 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 35B45 A priori estimates in context of PDEs 35Q30 Navier-Stokes equations Keywords:initial-boundary-value problem; equations of motion of a viscous compressible fluid Citations:Zbl 0338.35078 PDF BibTeX XML Cite \textit{V. A. Solonnikov}, J. Sov. Math. 14, 1120--1133 (1980; Zbl 0451.35092) Full Text: DOI OpenURL References: [1] J. Nash, ”Le problème de Cauchy pour les équations différentielles d’un fluide général,” Bull. Soc. Math. France,90, 487–497 (1962). · Zbl 0113.19405 [2] A. I. Vol’pert and S. I. Khudyaev, ”On the Cauchy problem for composite systems of nonlinear differential equations,” Mat. Sb.,87, 504–528 (1972). · Zbl 0239.35017 [3] O. A. Ladyzhenskaya and V. A. Solonnikov, ”On the unique solvability of initial-boundary-value problems for viscous incompressible nonhomogeneous fluids,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,52 (1975). · Zbl 0376.76021 [4] V. A. Solonnikov, ”On boundary-value problems for linear parabolic systems of differential equations of general form,” Tr. Mat. Inst. im. V. S. Steklova Akad. Nauk SSSR,83, 3–162 (1965). 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.