Kazhikhov, A. V. Cauchy problem for viscous gas equations. (English. Russian original) Zbl 0519.35065 Sib. Math. J. 23, 44-49 (1982); translation from Sib. Mat. Zh. 23, No. 1, 60-64 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 54 Documents MSC: 35Q30 Navier-Stokes equations 35F25 Initial value problems for nonlinear first-order PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:Cauchy problem; viscous gas equations; existence; unicity Citations:Zbl 0405.35068; Zbl 0393.76043 PDFBibTeX XMLCite \textit{A. V. Kazhikhov}, Sib. Math. J. 23, 44--49 (1982; Zbl 0519.35065); translation from Sib. Mat. Zh. 23, No. 1, 60--64 (1982) Full Text: DOI References: [1] Ya. I. Kanel’, ?Cauchy problem for the dynamic equations for a viscous gas,? Sib. Mat. Zh.,20, No. 2, 293-306 (1979). · Zbl 0436.54009 · doi:10.1007/BF00970038 [2] A. V. Kazhikhov, ?Global solvability of one-dimensional boundary-value problems for equations describing a viscous heat-conducting gas,? in: The Dynamics of Continuous Media [in Russian], No. 25, Inst. Gidrodin. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1976), pp. 45-61. [3] A. V. Kazhikhov and V. V. Shelukhin, ?Unique global solvability of initial and boundary-value problems with respect to time for one-dimensional viscous-gas equations,? Prikl. Mat. Mekh.,41, No. 2, 282-291 (1977). 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.