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pro vyhledávání: '"Sales, Thomas"'
Autor:
Elliott, Charles M., Sales, Thomas
In this paper we study semi-discrete and fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation with a logarithmic potential. Specifically we consider linear finite elements discretising space and backward Euler time di
Externí odkaz:
http://arxiv.org/abs/2411.05650
Autor:
Elliott, Charles M., Sales, Thomas
We consider the existence of suitable weak solutions to the Cahn-Hilliard equation with a non-constant (degenerate) mobility on a class of evolving surfaces. We also show weak-strong uniqueness for the case of a positive mobility function, and under
Externí odkaz:
http://arxiv.org/abs/2410.24147
Autor:
Elliott, Charles M., Sales, Thomas
We study two fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation on an evolving surface, given a smooth potential with polynomial growth. In particular we establish optimal order error bounds for a (fully implicit) b
Externí odkaz:
http://arxiv.org/abs/2405.11984
Autor:
Elliott, Charles M., Sales, Thomas
We derive a system of equations which can be seen as an evolving surface version of the diffuse interface "Model H" of Hohenberg and Halperin (1977). We then consider the well-posedness for the corresponding (tangential) system when one prescribes th
Externí odkaz:
http://arxiv.org/abs/2401.12044
Autor:
Sales, Thomas, Fink, B. Raymond
Publikováno v:
Scientific American, 1993 Jan 01. 268(1), 12-12.
Externí odkaz:
https://www.jstor.org/stable/24941324
