Аннотация:
The solution is estimated of the first boundary-value problem for the Navier–Stokes equations in the case of a compressible fluid in an infinite time interval; the solvability of the problem and the exponential decay of the solution as $t\to\infty$ are proved. The proof is based on the “free work” method due to Prof. M. Padula. It is shown that the method is applicable to the analysis of free boundary problems.
Образец цитирования:
V. A. Solonnikov, “On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval”, Алгебра и анализ, 27:3 (2015), 238–271; St. Petersburg Math. J., 27:3 (2016), 523–546
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\paper On the solvability of initial-boundary value problems for a~viscous compressible fluid in an infinite time interval
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\issue 3
\pages 238--271
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\jour St. Petersburg Math. J.
\yr 2016
\vol 27
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\pages 523--546
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https://www.mathnet.ru/rus/aa1443
https://www.mathnet.ru/rus/aa/v27/i3/p238
Эта публикация цитируется в следующих 1 статьяx:
Stefan Doboszczak, Manil T. Mohan, Sivaguru S. Sritharan, “Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints”, EECT, 11:2 (2022), 347