Attractors of Coupled Beam Equations With Structural Damping Under Nonlinear Boundary Conditions

ZHANG Ting; ZHANG Jianwen

doi:10.21656/1000-0887.410089

Volume 42 Issue 1

Jan. 2021

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ZHANG Ting, ZHANG Jianwen. Attractors of Coupled Beam Equations With Structural Damping Under Nonlinear Boundary Conditions[J]. Applied Mathematics and Mechanics, 2021, 42(1): 102-112. doi: 10.21656/1000-0887.410089

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Attractors of Coupled Beam Equations With Structural Damping Under Nonlinear Boundary Conditions

doi: 10.21656/1000-0887.410089

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P.R.China

Funds: The National Natural Science Foundation of China（11872264）

Received Date: 2020-03-20
Rev Recd Date: 2020-05-07
Publish Date: 2021-01-01

Abstract

Abstract

Attractors of the system of coupled beam equations with rotational inertia and structural damping under nonlinear boundary conditions were studied. Firstly, the existence and uniqueness of the global solution were proved by means of the Faedo-Galerkin method. Secondly, the existence of the bounded absorbing set in the system and the asymptotic smoothness of the related solution semigroup were also proved. Finally, the existence of the global attractor was given.
- coupled beam,
- nonlinear boundary condition,
- global solution,
- global attractor

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References(15)

References

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