A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection

2021 ◽  
Author(s):  
Jaemin Shin ◽  
Hyun Geun Lee
Keyword(s):  
Thin Film ◽  
Growth Model ◽  
Film Growth ◽  
Thin Film Growth ◽  
Epitaxial Thin Film ◽  
Epitaxial Thin Film Growth ◽  
Slope Selection ◽  
Energy Stable ◽  
Energy Stable Scheme ◽  
Stable Scheme

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.

Epitaxial Thin Film Growth of Europium Dihydride

2020 ◽  
Vol 20 (9) ◽  
pp. 5903-5907
Author(s):  
Yuya Komatsu ◽  
Ryota Shimizu ◽  
Markus Wilde ◽  
Shigeru Kobayashi ◽  
Yuki Sasahara ◽  
...  
Keyword(s):  
Thin Film ◽  
Film Growth ◽  
Thin Film Growth ◽  
Epitaxial Thin Film ◽  
Epitaxial Thin Film Growth

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

2011 ◽  
Vol 52 (3) ◽  
pp. 546-562 ◽  
Author(s):  
Wenbin Chen ◽  
Sidafa Conde ◽  
Cheng Wang ◽  
Xiaoming Wang ◽  
Steven M. Wise
Keyword(s):  
Thin Film ◽  
Film Model ◽  
Thin Film Model ◽  
Slope Selection ◽  
Energy Stable ◽  
Energy Stable Scheme ◽  
Stable Scheme
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