3 papers
math.NA2024
Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
Alex Kaltenbach, Julius Jeßberger
A finite element (FE) discretization for the steady, incompressible, fully inhomogeneous, generalized Navier-Stokes equations is proposed. By the method of divergence reconstructio…
math.NA2023★ 1 cited
Finite element discretization of the steady, generalized Navier-Stokes equations with inhomogeneous Dirichlet boundary conditions
Julius Jeßberger, Alex Kaltenbach
We propose a finite element discretization for the steady, generalized Navier-Stokes equations for fluids with shear-dependent viscosity, completed with inhomogeneous Dirichlet bou…
math.AP2020
Existence of weak solutions for inhomogeneous generalized Navier-Stokes equations
Julius Jeßberger, Michael Růžička
We prove existence of weak solutions for the fully inhomogeneous, stationary generalized Navier-Stokes equations for shear-thinning fluids. Our proof is based on the theory of pseu…