| Autor: |
Ceuca, Razvan-Dumitru, Taylor, Jamie M., Zarnescu, Arghir |
| Předmět: |
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| Zdroj: |
Communications in Contemporary Mathematics; Aug2023, Vol. 25 Issue 6, p1-65, 65p |
| Abstrakt: |
We study the effect of boundary rugosity in nematic liquid crystalline systems. We consider a highly general formulation of the problem, able to simultaneously deal with several liquid crystal theories. We use techniques of Gamma convergence and demonstrate that the effect of fine-scale surface oscillations may be replaced by an effective homogenized surface energy on a simpler domain. The homogenization limit is then quantitatively studied in a simplified setting, obtaining convergence rates. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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