101 citations · 269 across the 12 of their papers we have counts for
13 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…
On Born's conjecture about optimal distribution of charges for an infinite ionic crystal
Laurent Bétermin, Hans Knüpfer
We study the problem for the optimal charge distribution on the sites of a fixed Bravais lattice. In particular, we prove Born's conjecture about the optimality of the rock-salt al…
Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy
Hans Knüpfer, Cyrill B. Muratov, Florian Nolte
We investigate the scaling of the ground state energy and optimal domain patterns in thin ferromagnetic films with strong uniaxial anisotropy and the easy axis perpendicular to the…
A sharp interface evolutionary model for shape memory alloys
Hans Knüpfer, Martin Kružík
We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconve…
On an isoperimetric problem with a competing non-local term. II. The general case
Hans Knuepfer, Cyrill B. Muratov
This paper is the continuation of [H. Knüpfer and C. B. Muratov, Commun. Pure Appl. Math. (2012, to be published)]. We investigate the classical isoperimetric problem modified by a…
Darcy's flow with prescribed contact angle -- Well-posedness and lubrication approximation
Hans Knüpfer, Nader Masmoudi
We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy's Law. At the triple po…
On an isoperimetric problem with a competing non-local term. I. The planar case
Hans Knuepfer, Cyrill B. Muratov
This paper is concerned with a study of the classical isoperimetric problem modified by an addition of a non-local repulsive term. We characterize existence, non-existence and radi…
Domain structure of bulk ferromagnetic crystals in applied fields near saturation
H. Knuepfer, C. B. Muratov
We investigate the ground state of a uniaxial ferromagnetic plate with perpendicular easy axis and subject to an applied magnetic field normal to the plate. Our interest is the asy…