Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth

2011 ◽  
Vol 62 (4) ◽  
pp. 575-608 ◽  
Author(s):  
Michael Winkler
Keyword(s):  
Thin Film ◽  
Parabolic Equation ◽  
Film Growth ◽  
Global Solutions ◽  
Higher Dimensions ◽  
Thin Film Growth ◽  
Equation Modeling ◽  
Epitaxial Thin Film ◽  
Epitaxial Thin Film Growth ◽  
Fourth Order Parabolic Equation

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

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Ning Duan ◽  
Xiaopeng Zhao ◽  
Xiufang Zhao
Keyword(s):  
Thin Film ◽  
Parabolic Equation ◽  
Fourth Order ◽  
Film Growth ◽  
Thin Film Growth ◽  
Equation Modeling ◽  
Epitaxial Thin Film ◽  
Epitaxial Thin Film Growth ◽  
Order Parabolic Equation ◽  
Fourth Order Parabolic Equation

AbstractIn 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.

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