Journal
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS
Volume 7, Issue 2, Pages 297-310Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s41808-021-00109-w
Keywords
Navier-Stokes equations; Mixed boundary conditions; Local in time existence of solutions; Navier's boundary conditions; Do-nothing boundary conditions
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Funding
- European Regional Development Fund [CZ.02.1.01/0.0/0.0/16_019/0000778]
- Student Grant Competition of CTU [SGS21/006/OHK1/1T/11]
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This paper proves the local in time existence and uniqueness of a solution for the initial velocity in the 2D Navier-Stokes system with three types of boundary conditions, including the so called do-nothing boundary condition. The solution can belong to a class of functions that can be at least a little stronger than L-2(Omega).
In this paper we deal with the two-dimensional Navier-Stokes system with three types of boundary conditions, including the so called do-nothing boundary condition. We prove the local in time existence and uniqueness of a solution for the initial velocity, which can belong to a class of functions that can be at least a little stronger than L-2(Omega).
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