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math.AP2022★ 2 cited
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
The paper considers a system of equations that models a lateral flow of a Boussinesq--Scriven fluid on a passively evolving surface embedded in . For the resulting Na…
math.AP2017
On well-posedness of a velocity-vorticity formulation of the Navier-Stokes equations with no-slip boundary conditions
Maxim A. Olshanskii, Leo G. Rebholz, Abner J. Salgado
We study well-posedness of a velocity-vorticity formulation of the Navier--Stokes equations, supplemented with no-slip velocity boundary conditions, a no-penetration vorticity boun…