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This article is cited in 4 scientific papers (total in 5 papers)
Research Papers
$ L_2$-theory for two viscous fluids of different types: Compressible and incompressible
V. A. Solonnikov St. Petersburg Department of the Steklov Mathematical Institute, 27 Fontanka emb., 191023 St. Petersburg, Russia
Abstract:
Stability is proved for the rest state in the problem of evolution of two viscous fluids, compressible and incompressible, contained in a bounded vessel and separated by a free interface. The fluids are subject to mass and capillary forces. The proof of stability is based on “maximal regularity” estimates for the solution in the anisotropic Sobolev-Slobodetskiĭspaces $ W_2^{r,r/2}$ with an exponential weight.
Keywords:
free boundaries, compressible and incompressible fluids, Sobolev–Slobodetskiĭ spaces.
Received: 02.02.2019
Citation:
V. A. Solonnikov, “$ L_2$-theory for two viscous fluids of different types: Compressible and incompressible”, Algebra i Analiz, 32:1 (2020), 121–186; St. Petersburg Math. J., 32:1 (2021), 91–137
Linking options:
https://www.mathnet.ru/eng/aa1685 https://www.mathnet.ru/eng/aa/v32/i1/p121
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Abstract page: | 259 | Full-text PDF : | 27 | References: | 46 | First page: | 17 |
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