scholarly journals Local and global existence of solutions to a fourth-order parabolic equation modeling kinetic roughening and coarsening in thin films

2017 ◽  
Vol 15 (8) ◽  
pp. 2195-2218
Author(s):  
Xiangsheng Xu
Keyword(s):  
Thin Films ◽  
Parabolic Equation ◽  
Global Existence ◽  
Fourth Order ◽  
Existence Of Solutions ◽  
Equation Modeling ◽  
Kinetic Roughening ◽  
Global Existence Of Solutions ◽  
Order Parabolic Equation ◽  
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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