Valli, Alberto A correction to the paper: ”An existence theorem for compressible viscous fluids”. (English) Zbl 0599.76082 Ann. Mat. Pura Appl., IV. Ser. 132, 399-400 (1982). [Concerns the author’s article reviewed above (Zbl 0599.76081)]. The proof of the convergence of the successive approximations is not complete. In fact, we have proved the existence of a subsequence \((\nu_{n_ k},\theta_{n_ k},\rho_{n_ k})\) which converges, but we cannot pass to the limit in (2.4), (2.5) and (2.6), without proving that \((\nu_{n_ k-1},\theta_{n_ k-1},\rho_{n_ k-1})\) also converges to the same limit. This result does not seem easy to be proved, hence we prefer to utilize a slightly different approach. Acutally, we complete the proof of the existence of a solution by a fixed point argument. Cited in 2 ReviewsCited in 25 Documents MSC: 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q99 Partial differential equations of mathematical physics and other areas of application Keywords:convergence; successive approximations Citations:Zbl 0599.76081 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] P.Secchi - A.Valli,A free boundary problem for compressible viscous fluids, J. Reine Angew. Math., to appear. · Zbl 0596.76084 [2] A. Valli,An existence theorem for compressible viscous fluids, Ann. Mat. Pura Appl.,130 (1982), pp. 197–213. · Zbl 0599.76081 · doi:10.1007/BF01761495 [3] A. Valli,Uniqueness theorems for compressible viscous fluids, expecially when the Stokes relation holds, Boll. Un. Mat. It., Anal. Funz. Appl.,18-C (1981), pp. 317–325. · Zbl 0484.76075 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.