Аннотация:
The model problem under study concerns the evolution of two viscous capillary fluids of different types: compressible and incompressible, contained in a bounded vessel and separated by a free interface. The solution is estimated in the Sobolev–Slobodetskiǐ function spaces; these estimates can be useful for the proof of stability for the rest state.
Ключевые слова:
compressible and incompressible fluids, free boundary, Sobolev–Slobodetskiǐ spaces.
Образец цитирования:
V. A. Solonnikov, “On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface”, Алгебра и анализ, 30:2 (2018), 274–317; St. Petersburg Math. J., 30:2 (2019), 347–377
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\paper On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a~free interface
\jour Алгебра и анализ
\yr 2018
\vol 30
\issue 2
\pages 274--317
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\jour St. Petersburg Math. J.
\yr 2019
\vol 30
\issue 2
\pages 347--377
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1589
https://www.mathnet.ru/rus/aa/v30/i2/p274
Эта публикация цитируется в следующих 3 статьяx:
T. P. Castano, J. J. L. Velazquez, “On the dynamics of thin layers of viscous flows inside another viscous fluid”, J. Differ. Equ., 300 (2021), 252–311
V. A. Solonnikov, “L2-theory for two viscous fluids of different types: Compressible and incompressible”, Алгебра и анализ, 32:1 (2020), 121–186; St. Petersburg Math. J., 32:1 (2021), 91–137
V. A. Solonnikov, “Lp-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation”, Алгебра и анализ, 32:3 (2020), 254–291; St. Petersburg Math. J., 32:3 (2021), 577–604
Цитирование в формате AMSBIB
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