Well-posedness and regularity results for a 2m-th order parabolic equation in symmetric conical domains of ℝN+1

2017 ◽  
Vol 40 (16) ◽  
pp. 6035-6047
Author(s):  
Saïda Cherfaoui ◽  
Amor Kessab ◽  
Arezki Kheloufi
Keyword(s):  
Parabolic Equation ◽  
Well Posedness ◽  
Order Parabolic Equation ◽  
Regularity Results

scholarly journals The BV solution of the parabolic equation with degeneracy on the boundary

2016 ◽  
Vol 14 (1) ◽  
pp. 272-282
Author(s):  
Huashui Zhan ◽  
Shuping Chen
Keyword(s):  
Boundary Condition ◽  
Parabolic Equation ◽  
Well Posedness ◽  
Test Functions ◽  
The Stability

AbstractConsider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.

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.

A coupling method based on new MFE and FE for fourth-order parabolic equation

2013 ◽  
Vol 43 (1-2) ◽  
pp. 249-269 ◽  
Author(s):  
Yang Liu ◽  
Zhichao Fang ◽  
Hong Li ◽  
Siriguleng He ◽  
Wei Gao
Keyword(s):  
Parabolic Equation ◽  
Fourth Order ◽  
Coupling Method ◽  
Order Parabolic Equation ◽  
Fourth Order Parabolic Equation
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