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math.NA2025
Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions
Igor Tominec, Josefin Ahlkrona, Malte Braack
This paper shows that the Stokes problem is well-posed when velocity and pressure simultaneously vanish on the domain boundary. This result is achieved by extending NeÄas' inequal…
math.NA2024
Mapped coercivity for the stationary Navier-Stokes equations and their finite element approximations
Roland Becker, Malte Braack
This paper addresses the challenge of proving the existence of solutions for nonlinear equations in Banach spaces, focusing on the Navier-Stokes equations and discretizations of th…