Study of Solutions to a Fourth Order Parabolic Equation∗

This paper studies a fourth-order parabolic equation ut + ε(unuxxx)x − δ|uxx|muxx = 0 with the boundary conditions uxx = 0, u = l and the initial condition u(x, 0) = u0(x). The existence of solutions is obtained from the semidiscretization method. When the initial function is close to a constant ste...

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Bibliographic Details
Main Authors: Bo Liang, Xiting Peng, Huiying Shen
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2016-01-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/812