Asymptotic behavior of a generalized Cahn–Hilliard equation with a mass source

2016 ◽  
Vol 96 (2) ◽  
pp. 324-348 ◽  
Author(s):  
Hussein Fakih
Keyword(s):  
Asymptotic Behavior ◽  
Mass Source ◽  
Hilliard Equation ◽  
Cahn Hilliard Equation

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CAHN–HILLIARD EQUATION WITH INERTIAL TERM

2012 ◽  
Vol 23 (09) ◽  
pp. 1250087 ◽  
Author(s):  
YIN-XIA WANG ◽  
ZHIQIANG WEI
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Dimensional Space ◽  
Solution Space ◽  
Contraction Mapping Principle ◽  
Asymptotic Behavior Of Solutions ◽  
Inertial Term ◽  
Hilliard Equation ◽  
The Cauchy Problem ◽  
Cahn Hilliard Equation

In this paper, we investigate the Cauchy problem for Cahn–Hilliard equation with inertial term in n-dimensional space. Based on the decay estimate of solutions to the corresponding linear equation, we define a solution space. Under small condition on the initial value, we prove the global existence and asymptotic behavior of the solution in the corresponding Sobolev spaces by the contraction mapping principle.

scholarly journals Asymptotic behavior of a nonisothermal viscous Cahn–Hilliard equation with inertial term

2007 ◽  
Vol 239 (1) ◽  
pp. 38-60 ◽  
Author(s):  
Maurizio Grasselli ◽  
Hana Petzeltová ◽  
Giulio Schimperna
Keyword(s):  
Asymptotic Behavior ◽  
Inertial Term ◽  
Hilliard Equation ◽  
Cahn Hilliard Equation
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