Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Eichmann, Sascha"'
Autor:
Eichmann, Sascha
We are looking for an optimal convex domain on which the boundary value problem $$\left\{\begin{array}{cc}(-\Delta)^2 u_\gamma-\gamma\Delta u_\gamma = f,& \mbox{ in }\Omega\\ u_\gamma=\partial_\nu u_\gamma=0,& \mbox{ on }\partial\Omega\end{array}\rig
Externí odkaz:
http://arxiv.org/abs/2402.16575
Autor:
Eichmann, Sascha
To avoid possible singularities in the Willmore flow, one usually works under an energy threshold provided by the Li-Yau inequality. Here we improve this threshold by also considering parts outside of a possible singularity together with Dirichlet bo
Externí odkaz:
http://arxiv.org/abs/2402.05580
Autor:
Eichmann, Sascha, Schätzle, Reiner M.
In this article we consider positivity issues for the clamped plate equation with high tension $\gamma>0$. This equation is given by $\Delta^2u - \gamma\Delta u=f$ under clamped boundary conditions. Here we show, that given a positive $f$, i.e. upwar
Externí odkaz:
http://arxiv.org/abs/2106.09341
Autor:
Eichmann, Sascha
We examine the phase dependent Helfrich energy and show an Euler-Lagrange equation on the phase seperation line. This result has already been observed by e.g. J\"ulicher-Lipowski and later Elliot-Stinner. Here we are able to lower the regularity assu
Externí odkaz:
http://arxiv.org/abs/2011.12632
Autor:
Eichmann, Sascha
We minimise the Canham-Helfrich energy in the class of closed immersions with prescribed genus, surface area and enclosed volume. Compactness is achieved in the class of oriented varifolds. The main result is a lower-semicontinuity estimate for the m
Externí odkaz:
http://arxiv.org/abs/1908.11738
Autor:
Eichmann, Sascha
Publikováno v:
Calculus of Variations and Partial Differential Equations, 58:34, 2019
We construct a branched Helfrich immersion satisfying Dirichlet boundary conditions. The number of branch points is finite. We proceed by a variational argument and hence examine the Helfrich energy for oriented varifolds. The main contribution of th
Externí odkaz:
http://arxiv.org/abs/1808.03456
Publikováno v:
In Chemical Engineering Science 18 May 2019 199:571-587
Publikováno v:
In International Journal of Impact Engineering June 2017 104:45-54
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.