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pro vyhledávání: '"Krömer, Milan"'
Autor:
Kroemer, Milan, Laux, Tim
We prove a quantitative convergence result of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow. The proof uses gradient flow calibrations and the relative entropy method, which has been used in the recent literature to prove
Externí odkaz:
http://arxiv.org/abs/2309.12409
Autor:
Kroemer, Milan, Laux, Tim
We derive a uniqueness and stability principle for surface diffusion before the onset of singularities. The perturbations, however, are allowed to undergo topological changes. The main ingredient is a relative energy inequality, which in turn relies
Externí odkaz:
http://arxiv.org/abs/2212.12487
Autor:
Kroemer, Milan, Laux, Tim
In this paper, we study the sharp interface limit for solutions of the Cahn-Hilliard equation with disparate mobilities. This means that the mobility function degenerates in one of the two energetically favorable configurations, suppressing the diffu
Externí odkaz:
http://arxiv.org/abs/2111.14505
Autor:
Krömer, Milan, Müller, Stefan
Motivated by experiments and formal asymptotic expansions in the physics literature, Maor and Shachar (J. Elasticity 134 (2019), 149-173) studied the behaviour of a model elastic energy of maps between manifolds with incompatible metrics. For thin ob
Externí odkaz:
http://arxiv.org/abs/2103.15387
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