scholarly journals Finite element analysis of a nonlinear parabolic equation modeling epitaxial thin-film growth

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Fengnan Liu ◽  
Xiaopeng Zhao ◽  
Bo Liu
Keyword(s):  
Thin Film ◽  
Finite Element Analysis ◽  
Parabolic Equation ◽  
Film Growth ◽  
Thin Film Growth ◽  
Equation Modeling ◽  
Epitaxial Thin Film ◽  
Element Analysis ◽  
Epitaxial Thin Film Growth ◽  
Nonlinear Parabolic

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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