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math.AP2019★ 3 cited
A Pressure Associated with a Weak Solution to the Navier-Stokes Equations with Navier's Boundary Condition
Jiri Neustupa, Sarka Necasova, Petr Kucera
We show that if u is a weak solution to the Navier-Stokes initial-boundary value problem with Navier's slip boundary conditions in , where is a domain in $R^…
math.AP2014★ 1 cited
Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions in Two-Dimensional Bounded Domains
Michal Beneš, Petr Kučera
In this paper we consider the system of the non-steady Navier-Stokes equations with mixed boundary conditions. We study the existence and uniqueness of a solution of this system. W…