|
This article is cited in 78 scientific papers (total in 78 papers)
Control problems and theorems concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier–Stokes and Euler equations
A. V. Fursikov
Abstract:
In this paper, theorems on the existence of smooth solutions of certain control problems describable by the Navier–Stokes and Euler equations are proved. It is shown that a mixed boundary value problem for the Navier–Stokes and Euler equations of dimension $n\geqslant3$ is uniquely solvable for a dense set of right-hand sides.
Bibliography: 13 titles.
Received: 13.06.1980
Citation:
A. V. Fursikov, “Control problems and theorems concerning the unique solvability of a mixed boundary value problem for the three-dimensional Navier–Stokes and Euler equations”, Mat. Sb. (N.S.), 115(157):2(6) (1981), 281–306; Math. USSR-Sb., 43:2 (1982), 251–273
Linking options:
https://www.mathnet.ru/eng/sm2385https://doi.org/10.1070/SM1982v043n02ABEH002447 https://www.mathnet.ru/eng/sm/v157/i2/p281
|
Statistics & downloads: |
Abstract page: | 895 | Russian version PDF: | 313 | English version PDF: | 21 | References: | 89 | First page: | 1 |
|