Boundary Value Problem for Stationary Stokes Equations with Impermeability Boundary Condition
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2365-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2365-x | ||
| 100 | 1 | |a Dubinskii |D Yu |u National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a Boundary Value Problem for Stationary Stokes Equations with Impermeability Boundary Condition |h [Elektronische Daten] |c [Yu. Dubinskii] |
| 520 | 3 | |a We propose two approaches to the study of the boundary value problem for the stationary Stokes equations with impermeability boundary condition. The first approach is classical and is based on a Friedrichs type inequality and a variant of the de Rham theorem. The second approach is based on solving the boundary value problem with the impermeability condition for the system of Poisson equations and decomposition of a Sobolev space into the sum of solenoidal and potential subspaces. We also study the gradient-divergence boundary value problem with impermeability boundary condition and establish the corresponding Ladyzhenskaya-Babushka-Brezzi inequality. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/2(2015-05-01), 195-205 |x 1072-3374 |q 207:2<195 |1 2015 |2 207 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2365-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2365-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Dubinskii |D Yu |u National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/2(2015-05-01), 195-205 |x 1072-3374 |q 207:2<195 |1 2015 |2 207 |o 10958 | ||