Thursday 3 December 2009

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-205
Full Name: Liliana Braescu
Position: Associate Professor
Age: ON
Sex: Female
Address: Blv V Parvan 4
Country: ROMANIA
Tel: +40 722 889 248
Tel prefix: +40
Fax: +40 256 592 316
E-mail address: braesculiliana@yahoo.com
Other E-mails: lilianabraescu@balint1.math.uvt.ro
Title of the Paper: Nonlinear boundary value problem of the meniscus for the dewetted Bridgman crystal growth process
Authors as they appear in the Paper: L. Braescu
Email addresses of all the authors: lilianabraescu@balint1.math.uvt.ro
Number of paper pages: 8
Abstract: Nonlinear boundary value problem of the Young-Laplace equation which describes the meniscus free surface in semiconductor crystals grown by Dewetted Bridgman technique is considered. The statically stability of the menisci, via the conjugate point criterion of the calculus of variations, is investigated in the cases of the classical semiconductors grown in (i) uncoated crucibles (i.e., the wetting angle èc and growth angle áe satisfy the inequality èc+áe<180°), and (ii) coated crucibles or pollution (èc+áe>=180°). Necessary or sufficient conditions for the existence of the statically stable convex (or concave, convex-concave, concave-convex) solutions of the considered BVP are established.
Keywords: Nonlinear boundary value problem, Young-Laplace equation, Growth from the melt, Dewetted Bridgman crystal growth technique
EXTENSION of the file: .doc
Special (Invited) Session: Nonlinear boundary value problem of the meniscus for the capillarity problems in crystal growth processes
Organizer of the Session: 639-263
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