5 citations · 10 across the 6 of their papers we have counts for
6 papers
Curvature-dependent Eulerian interfaces in elastic solids
Katharina Brazda, Martin Kružík, Fabian Rupp +1
We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a f…
Generalized Minimizing Movements for the varifold Canham-Helfrich flow
Katharina Brazda, Martin Kružík, Ulisse Stefanelli
The gradient flow of the Canham-Helfrich functional is tackled via the Generalized Minimizing Movements approach. We prove the existence of solutions in Wasserstein spaces of varif…
Bifurcation of elastic curves with modulated stiffness
Katharina Brazda, Gaspard Jankowiak, Christian Schmeiser +1
We investigate the equilibrium configurations of closed planar elastic curves of fixed length, whose stiffness, also known as the bending rigidity, depends on an additional density…
Existence of varifold minimizers for the multiphase Canham-Helfrich functional
Katharina Brazda, Luca Lussardi, Ulisse Stefanelli
We address the minimization of the Canham-Helfrich functional in presence of multiple phases. The problem is inspired by the modelization of heterogeneous biological membranes, whi…
Variational formulation of the earth's elastic-gravitational deformations under low regularity conditions
Katharina Brazda, Maarten V. de Hoop, Guenther Hoermann
We present a construction of the action, in the framework of the calculus of variations and Sobolev spaces, describing deformations and the oscillations of a uniformly rotating, el…
Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
Matthias Sommer, Katharina Brazda, Michael Hantel
So far fluid mechanical Nambu brackets have mainly been given on an intuitive basis. Alternatively an algorithmic construction of such a bracket for the two-dimensional vorticity e…