Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Knüpfer, Hans"'
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an $L^{2}$-setting of monomially weighted spaces. A mathematical framework is developed which allows to o
Externí odkaz:
http://arxiv.org/abs/2411.04651
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
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-posedness and higher regularity of the Stokes problem in a certain class of
Externí odkaz:
http://arxiv.org/abs/2407.15517
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 154 (2024) 769-792
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 investigate the optimal scaling of the energy of an elastic inclusion of a fixed
Externí odkaz:
http://arxiv.org/abs/2207.13746
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 biomembranes. We identify sub- and supercrital parameter regimes and show
Externí odkaz:
http://arxiv.org/abs/2207.01974
Autor:
Brietzke, Birger, Knüpfer, Hans
We consider the onset of pattern formation in an ultrathin ferromagnetic film of the form $\tilde{\Omega}_t := \tilde{\Omega} \times [0,t]$ for $\tilde{ \Omega} \Subset \mathbb{R}^2$ with preferred perpendicular magnetization direction. The relative
Externí odkaz:
http://arxiv.org/abs/2205.10061
Autor:
Knüpfer, Hans, Stantejsky, Dominik
We investigate the energy of an isolated magnetized domain $\Omega \subset \mathbb{R}^n$ for $n=2,3$. In non-dimensionalized variables, the energy given by $$ \mathcal{E}(\Omega) \ = \ \int_{\mathbb{R}^n} |\nabla \chi_{\Omega}| \ dx + \int_{\mathbb{R
Externí odkaz:
http://arxiv.org/abs/2201.02384
Autor:
Knüpfer, Hans, Shi, Wenhui
The seminal results of Bourgain, Brezis, Mironescu and D\'avila show that the classical perimeter can be approximated by a family of nonlocal perimeter functionals. We consider a corresponding second order expansion for the nonlocal perimeter functio
Externí odkaz:
http://arxiv.org/abs/2110.12378
Autor:
Knüpfer, Hans, Shi, Wenhui
Charged domain walls are a type of domain walls in thin ferromagnetic films which appear due to global topological constraints. The non-dimensionalized micromagnetic energy for a uniaxial thin ferromagnetic film with in-plane magnetization $m \in \ma
Externí odkaz:
http://arxiv.org/abs/2005.02857
The goal of this work is to investigate the optimality of the $d$-dimensional rock-salt structure, i.e., the cubic lattice $V^{1/d}\mathbb{Z}^d$ of volume $V$ with an alternation of charges $\pm 1$ at lattice points, among periodic distribution of ch
Externí odkaz:
http://arxiv.org/abs/2004.04553
Publikováno v:
Pure Appl. Analysis 2 (2020) 1-21
This paper is concerned with the diffuse interface Ohta-Kawasaki energy in three space dimensions, in a periodic setting, in the parameter regime corresponding to the onset of non-trivial minimizers. We identify the scaling in which a sharp transitio
Externí odkaz:
http://arxiv.org/abs/1811.03499