5 papers
Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field
Anuj Kumar, Franziska Weber
We study mixing for a divergence-free passive vector field transported by another divergence-free vector field , where evolves according to $ \partial_t u + (U \cdot \na…
A convergence proof for a finite element discretization of Chorin's projection method of the incompressible Navier-Stokes equations
Franziska Weber
We study Chorin's projection method combined with a finite element spatial discretization for the time-dependent incompressible Navier-Stokes equations. The scheme advances the sol…
Convergence of a Second-Order Projection Method to Leray-Hopf Solutions of the Incompressible Navier-Stokes Equations
Franziska Weber
We analyze a second-order projection method for the incompressible Navier-Stokes equations on bounded Lipschitz domains. The scheme employs a Backward Differentiation Formula of or…
Sufficient Conditions for the Energy Balance for the Stochastic Incompressible Euler Equations with Additive Noise in two Space Dimensions
Tobias Rohner, Franziska Weber
We consider vanishing viscosity approximations to solutions of the stochastic incompressible Euler equations in two space dimensions with additive noise. We identify sufficient and…
Finite element analysis of a nematic liquid crystal Landau-de Gennes model with quartic elastic terms
Jacob Elafandi, Franziska Weber
In arXiv:1906.09232v2, Golovaty et al. present a -tensor model for liquid crystal dynamics which reduces to the well-known Oseen-Frank director field model in uniaxial states. W…