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2000 Thomas-Fermi type theories for polymers and thin films
X. Blanc, C. Le Bris
Adv. Differential Equations 5(7-9): 977-1032 (2000).

Abstract

We define a Thomas-Fermi-von Weizsäcker model for polymers and thin films through a thermodynamic limit process. Our argument makes use of standard techniques for elliptic PDEs, such as maximum principles or supersolution methods. In the course of our work, we establish some existence and uniqueness results for a system of nonlinear PDEs.

Citation

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X. Blanc. C. Le Bris. "Thomas-Fermi type theories for polymers and thin films." Adv. Differential Equations 5 (7-9) 977 - 1032, 2000.

Information

Published: 2000
First available in Project Euclid: 27 December 2012

zbMATH: 1223.35263
MathSciNet: MR1776347

Subjects:
Primary: 35Q40
Secondary: 35J50, 35J60, 81V55

Rights: Copyright © 2000 Khayyam Publishing, Inc.

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Vol.5 • No. 7-9 • 2000
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