On the solutions of a fourth order parabolic equation modeling epitaxial thin film growth-Reference-Cited by-同舟云学术

On the solutions of a fourth order parabolic equation modeling epitaxial thin film growth

Published:2016-06-01 Issue:3 Volume:66 Page:651-666
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Duan Ning¹,Zhao Xiaopeng¹,Zhao Xiufang²

Affiliation:

1. School of Science Jiangnan University Wuxi 214122 P. R. CHINA

2. College of Sciences Qiqihar University Qiqihar, 161006 P. R. CHINA

Abstract

Abstract In this paper, we study the existence and uniqueness of global weak solution, the regularity of the solutions and the existence of global attractor for a fourth order parabolic equation modeling epitaxial thin film growth with Neumann boundary conditions in two space dimensions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2015-0167/pdf

Reference15 articles.

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4. King, B. B.—Stein, O.—Winkler, M.: A fourth-order parabolic equation modelling epitaxial thin film growth, J. Math. Anal. Appl. 286 (2003), 459–490.

5. Kohn, V. R.—Yan, X.: Upper bound on the coarsening rate for an epitaxial growth model, Comm. Pure Appl. Math. 56 (2003), 1549–1564.

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