Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Stinson, Kerrek"'
Autor:
Stinson, Kerrek, Wittig, Solveig
We consider a free-boundary and free-discontinuity energy connecting phase separation and fracture in an elastic material. The energy excludes the contribution of phase boundaries in the cracked region, providing a heuristic approximation of the inte
Externí odkaz:
http://arxiv.org/abs/2408.03776
We connect adversarial training for binary classification to a geometric evolution equation for the decision boundary. Relying on a perspective that recasts adversarial training as a regularization problem, we introduce a modified training scheme tha
Externí odkaz:
http://arxiv.org/abs/2404.14402
In this note we show Ahlfors-regularity for a large class of quasiminimizers of the Griffith functional. This allows us to prove that, for a range of free discontinuity problems in linear elasticity with anisotropic, cohesive, or heterogeneous behavi
Externí odkaz:
http://arxiv.org/abs/2402.09396
We present regularity results for the crack set of a minimizer for the Griffith fracture energy, arising in the variational modeling of brittle materials. In the planar setting, we prove an epsilon-regularity result showing that the crack is locally
Externí odkaz:
http://arxiv.org/abs/2310.07670
In this paper, a model for defects that was introduced in \cite{ZANV} is studied. In the literature, the setting of most models for defects is the function space SBV (special bounded variation functions) (see, e.g., \cite{ContiGarroni, GoldmanSerfaty
Externí odkaz:
http://arxiv.org/abs/2301.09353
The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen-Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models, and prove convergence using relat
Externí odkaz:
http://arxiv.org/abs/2212.11939
Autor:
Bungert, Leon, Stinson, Kerrek
In this paper we prove Gamma-convergence of a nonlocal perimeter of Minkowski type to a local anisotropic perimeter. The nonlocal model describes the regularizing effect of adversarial training in binary classifications. The energy essentially depend
Externí odkaz:
http://arxiv.org/abs/2211.15223
Autor:
Laux, Tim, Stinson, Kerrek
We propose a weak solution theory for the sharp interface limit of the Cahn-Hilliard reaction model, a variational PDE for lithium-ion batteries. An essential feature of this model is the use of Butler-Volmer kinetics for lithium-ion insertion, which
Externí odkaz:
http://arxiv.org/abs/2209.07380
Autor:
Hensel, Sebastian, Stinson, Kerrek
We propose a novel weak solution theory for the Mullins-Sekerka equation primarily motivated from a gradient flow perspective. Previous existence results on weak solutions due to Luckhaus and Sturzenhecker (Calc. Var. PDE 3, 1995) or R\"oger (SIAM J.
Externí odkaz:
http://arxiv.org/abs/2206.08246
Autor:
Stinson, Kerrek
The Cahn-Hilliard reaction model, a nonlinear, evolutionary PDE, was introduced to model phase separation in lithium-ion batteries. Using Butler-Volmer kinetics for electrochemical consistency, this model allows lithium-ions to enter the domain via a
Externí odkaz:
http://arxiv.org/abs/2010.08533