6 papers · 1 filter
Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces
Liang-Biao Chen, Peng-Fei Yao
We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces where the Gauss curvature is zero on a part of boundary. Furthermore, we o…
The linearized Kirchhoff theory for plates with incompatible prestrain
Yizhao Qin, Pengfei Yao
In this paper, we derive a linearized Kirchhoff model from three dimensional nonlinear elastic energy of plates with incompatible prestrain as its thickness tends to zero and i…
Energy decay and global smooth solutions for a free boundary fluid-nonlinear elastic structure interface model with boundary dissipation
Yizhao Qin, Pengfei Yao
We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common…
The time-dependent von Kármán shell equation as a limit of three-dimensional nonlinear elasticity
Yizhao Qin, Pengfei Yao
The asymptotic behaviour of solutions of three-dimensional nonlinear elastodynamics in a thin shell is considered, as the thickness of the shell tends to zero. Given the approp…
Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity
Yizhao Qin, Pengfei Yao
We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of th…
Boundary controllability for the quasilinear wave equation
Peng-Fei Yao
We study the boundary exact controllability for the quasilinear wave equation in the higher-dimensional case. Our main tool is the geometric analysis. We derive the existence of lo…