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pro vyhledávání: '"Trumper, Mariel Sáez"'
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows to smoothly fl
Externí odkaz:
http://arxiv.org/abs/1210.6007
Autor:
Trumper, Mariel Sáez
In this paper we study the uniqueness of expanding self-similar solutions to the network flow in a fixed topological class. We prove the result via the parabolic Allen-Cahn approximation proved in \cite{triodginz}. Moreover, we prove that any regular
Externí odkaz:
http://arxiv.org/abs/0810.2514
Autor:
Trumper, Mariel Saez
In this paper we find solutions $u_\epsilon$ to a certain class of vector-valued parabolic Allen-Cahn equation that as $\epsilon \to 0$ develops as interface a given triod evolving under curve shortening flow.
Comment: 20 pages, 2 figures
Comment: 20 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/0706.3299
Autor:
Trumper, Mariel Saez
In this paper we prove existence of a vector-valued solution $v$ to -\Delta v +\frac{\nabla_v W(v)}{2}&=0, \lim_{r\to \infty}v(r \cos\theta,r\sin\theta)&= c_i \hbox{for} \theta \in (\theta_{i-1}, \theta_i), where $W:\rr^2\to \rr$ is non-negative func
Externí odkaz:
http://arxiv.org/abs/math/0702662
Autor:
Trumper, Mariel Saez
Publikováno v:
Indiana University Mathematics Journal, 2009 Jan 01. 58(1), 213-267.
Externí odkaz:
https://www.jstor.org/stable/24903228
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