scholarly journals ON TIME PERIODIC SOLUTIONS TO THE GENERALIZED BBM-BURGERS EQUATION WITH TIME-DEPENDENT PERIODIC EXTERNAL FORCE

2020 ◽  
Vol 25 (2) ◽  
pp. 184-197
Author(s):  
Yinxia Wang
Keyword(s):  
Periodic Solutions ◽  
External Force ◽  
Existence And Uniqueness ◽  
Contraction Mapping ◽  
Space Dimension ◽  
Burgers Equation ◽  
Time Dependent ◽  
Contraction Mapping Theorem ◽  
Time Periodic Solutions ◽  
Time Periodic

In this paper, we consider the generalized BBM-Burgers equation with periodic external force in Rn. Existence and uniqueness of time periodic solutions that have the same period as the external force are established in some suitable function space for the space dimension n≥ 3. Moreover, we also discuss the time asymptotic stability of the time periodic solution. The proof is mainly based on the contraction mapping theorem and continuous argument.

scholarly journals Bifurcation of time-periodic solutions for the incompressible flow of nematic liquid crystals in three dimension

2019 ◽  
Vol 9 (1) ◽  
pp. 1315-1332 ◽  
Author(s):  
Hengyan Li ◽  
Xin Zhao ◽  
Weiping Yan
Keyword(s):  
Liquid Crystals ◽  
Periodic Solutions ◽  
Incompressible Flow ◽  
Nematic Liquid Crystals ◽  
Dynamical Behavior ◽  
Time Dependent ◽  
Three Dimension ◽  
Time Periodic Solutions ◽  
External Forces ◽  
Time Periodic

Abstract This paper is devoted to the study of the dynamical behavior for the 3D incompressible flow of liquid crystals. We prove that this system under smooth external forces possesses time dependent periodic solutions, bifurcating from a steady solution.

Sign in / Sign up

Export Citation Format

Share Document