Time-periodic solution of a 2D fourth-order nonlinear parabolic equation

2014 ◽  
Vol 124 (3) ◽  
pp. 349-364
Author(s):  
XIAOPENG ZHAO ◽  
CHANGCHUN LIU
Keyword(s):  
Periodic Solution ◽  
Parabolic Equation ◽  
Fourth Order ◽  
Nonlinear Parabolic Equation ◽  
Nonlinear Parabolic ◽  
Time Periodic ◽  
Time Periodic Solution

Time periodic solutions for a sixth order nonlinear parabolic equation

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
Changchun Liu ◽  
Zhao Wang
Keyword(s):  
Parabolic Equation ◽  
Periodic Solutions ◽  
Nonlinear Parabolic Equation ◽  
Sixth Order ◽  
Surfactant Mixtures ◽  
Nonlinear Parabolic ◽  
Time Periodic Solutions ◽  
Oil Water ◽  
Time Periodic ◽  
Time Periodic Solution

AbstractIn this paper, we study the time periodic solution of a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures based on Leray-Schauder’s fixed point theorem, we prove the existence of time-periodic solutions.

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