On extremals of a variational problem arising in crystallography

• Autorzy: Zaslavski A. J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the structure of minirnizers of variational problems which were introduced by Hannon, Marcus and Mizel (ESAIM Control Optim. Calc. Var., 2003) to describe step-terraces on surfaces of so-called "unorthodox" crystals. These variational problems are associated with two positive parameters. We will show that if one of these parameters is not smali and the second parameter is large, then the rainimizer is a constant function.

Słowa kluczowe

EN

minimizer; surfaces of crystals; unorthodox crystal; variational problem

PL

powierzchnia kryształu; kryształ niekonwencjonalny; zagadnienie wariacyjne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2007
• Tom: Vol. 29
• Strony: 157--166
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Zaslavski A. J.

• Department of Mathematics Technion-Israel Institute of Technology 32000, Haifa, Israel,

Bibliografia

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• [6] H.C. Jeng and E.D. Williams, Steps on surfaces: experiment and theory, Surface Science Reports, 34 (1999), 175-294.
• [7] M. Kurzke and M.O. Rieger, A relaxed model for step-terraces on crystalline surfaces, J. Convex Anal., 11 (2004), 59-67.
• [8] W.W. Mullins, Theory of thermal grooving, J. Appl. Physics 28 (1957), 333-339.