On the solutions of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary

2021 ◽  
Vol 5 (1) ◽  
pp. 9-21
Author(s):  
J. Ferreira ◽  
◽  
E. Pişkin ◽  
S. M. S. Cordeiro ◽  
C. A. Raposo ◽  
...  
Keyword(s):  
Strong Solution ◽  
Existence And Uniqueness ◽  
Moving Boundary ◽  
Global Strong Solution ◽  
Beam Equations

In this paper, we are concerned with the existence and uniqueness of global strong solution of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary.

scholarly journals Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yong Zhou ◽  
Jishan Fan ◽  
Gen Nakamura
Keyword(s):  
Strong Solution ◽  
Initial Density ◽  
Regularity Criterion ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Density Dependent ◽  
Global Strong Solution ◽  
Dependent Flow ◽  
Density Dependent Flow ◽  
Initial Boundary Value

The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocityu0and small∇d0. We also give a regularity criterion∇d∈Lp(0,T;Lq(Ω))  (2/q)+(2/p)=1, 2<q≤∞of the problem with the Dirichlet boundary conditionu=0,d=d0on∂Ω.

Global strong solution of fourth order nonlinear wave equation

2020 ◽  
Vol 197 ◽  
pp. 111854
Author(s):  
Yitian Wang ◽  
Shilong Liu ◽  
Kun Shao ◽  
Chao Yang ◽  
Shaobin Huang ◽  
...  
Keyword(s):  
Wave Equation ◽  
Strong Solution ◽  
Nonlinear Wave ◽  
Fourth Order ◽  
Nonlinear Wave Equation ◽  
Global Strong Solution
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