Výsledky vyhledávání - "Steinke, Pascal"

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Linearization of quasistatic fracture evolution in brittle materials

Autor: Friedrich, Manuel, Steinke, Pascal, Stinson, Kerrek

We prove a linearization result for quasistatic fracture evolution in nonlinear elasticity. As the stiffness of the material tends to infinity, we show that rescaled displacement fields and their associated crack sets converge to a solution of quasis

Externí odkaz: http://arxiv.org/abs/2411.13446

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Convergence of Allen-Cahn equations to De Giorgi's multiphase mean curvature flow

Autor: Steinke, Pascal

This paper presents a conditional convergence result of solutions to the Allen--Cahn equation with arbitrary potentials to a De Giorgi type $ \mathrm{BV} $-solution to multiphase mean curvature flow. Moreover we show that De Giorgi type $\mathrm{BV}

Externí odkaz: http://arxiv.org/abs/2301.12237

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Inequalities for $\mathrm{BV}^{\mathbb{A}} $-Functions

Autor: Steinke, Pascal

In this paper, we prove trace-type Poincar\'e and Sobolev inequalities for the space of functions of bounded $\mathbb{A}$-Variation
Comment: 11 pages, 1 figure

Externí odkaz: http://arxiv.org/abs/2112.06019

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