Research output: Contribution to journal › Article › peer-review
Dirichlet problem for the Stokes equation. / Pukhnachev, V. V.
In: Mathematical Notes, Vol. 101, No. 1-2, 01.01.2017, p. 132-136.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Dirichlet problem for the Stokes equation
AU - Pukhnachev, V. V.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The paper presents some coercive a priori estimates of the solution of the Dirichlet problem for the linear Stokes equation relating vorticity and the stream function of an axially symmetric flow of an incompressible fluid. This equation degenerates on the axis of symmetry. The method used to obtain the estimates is based on a differential substitution transforming the Stokes equation into the Laplace equation and on the subsequent transition from cylindrical to Cartesian coordinates in three-dimensional space.
AB - The paper presents some coercive a priori estimates of the solution of the Dirichlet problem for the linear Stokes equation relating vorticity and the stream function of an axially symmetric flow of an incompressible fluid. This equation degenerates on the axis of symmetry. The method used to obtain the estimates is based on a differential substitution transforming the Stokes equation into the Laplace equation and on the subsequent transition from cylindrical to Cartesian coordinates in three-dimensional space.
KW - coercive a priori estimates
KW - flow-through problem
KW - Stokes equation
UR - http://www.scopus.com/inward/record.url?scp=85015698840&partnerID=8YFLogxK
U2 - 10.1134/S0001434617010138
DO - 10.1134/S0001434617010138
M3 - Article
AN - SCOPUS:85015698840
VL - 101
SP - 132
EP - 136
JO - Mathematical Notes
JF - Mathematical Notes
SN - 0001-4346
IS - 1-2
ER -
ID: 10274173