Christoph Hurm

Christoph Hurm
University of Regensburg | UR · Faculty of Mathematics

Master of Science

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6
Publications
504
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15
Citations

Publications

Publications (6)
Preprint
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We prove convergence of the nonlocal Allen-Cahn equation to mean curvature flow in the sharp interface limit, in the situation when the parameter corresponding to the kernel goes to zero fast enough with respect to the diffuse interface thickness. The analysis is done in the case of a $W^{1,1}$-kernel, under periodic boundary conditions and in both...
Article
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We prove convergence of a sequence of weak solutions of the nonlocal Cahn-Hilliard equation to the strong solution of the corresponding local Cahn-Hilliard equation. The analysis is done in the case of sufficiently smooth bounded domains with Neumann boundary condition and a W 1,1-kernel. The proof is based on the relative entropy method. Additiona...
Preprint
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The main goal of this paper is to establish the nonlocal-to-local convergence of strong solutions to a Navier-Stokes-Cahn-Hilliard model with singular potential describing immiscible, viscous two-phase flows with matched densities, which is referred to as the Model H. This means that we show that the strong solutions to the nonlocal Model H converg...
Preprint
Full-text available
We prove convergence of a sequence of weak solutions of the nonlocal Cahn-Hilliard equation to the strong solution of the corresponding local Cahn-Hilliard equation. The analysis is done in the case of sufficiently smooth bounded domains with Neumann boundary condition and a $W^{1,1}$-kernel. The proof is based on the relative entropy method. Addit...

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