5 citations · 10 across the 4 of their papers we have counts for
8 papers
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedn…
Minimal Energy for Geometrically Nonlinear Elastic Inclusions in Two Dimensions
Ibrokhimbek Akramov, Hans Knüpfer, Martin Kružík +1
We are concerned with a variant of the isoperimetric problem, which in our setting arises in a geometrically nonlinear two-well problem in elasticity. More precisely, we investigat…
-limit for a sharp interface model related to pattern formation on biomembranes
Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra
We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in bio…
Asymptotic shape of isolated magnetic domains
Hans Knüpfer, Dominik Stantejsky
We investigate the energy of an isolated magnetized domain for . In non-dimensionalized variables, the energy given by $$ \mathcal{E}(Ω) \ = \ \int_{…
Second order expansion for the nonlocal perimeter functional
Hans Knüpfer, Wenhui Shi
The seminal results of Bourgain, Brezis, Mironescu and Dávila show that the classical perimeter can be approximated by a family of nonlocal perimeter functionals. We consider a cor…
Optimal lattice configurations for interacting spatially extended particles
Laurent Bétermin, Hans Knüpfer
We investigate lattice energies for radially symmetric, spatially extended particles interacting via a radial potential and arranged on the sites of a two-dimensional Bravais latti…