6 citations · 16 across the 15 of their papers we have counts for
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Linear Strain Tensors and Optimal Exponential of thickness in Korn's Inequalities for Hyperbolic Shells
Pengfei Yao
We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces to obtain regularity solutions. Then the rigidity results on the strain te…
Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
Pengfei Yao
We establish Korn's interpolation inequalities and the rigidity results of the strain tensor of the middle surface for the parabolic and elliptic shells and show that the best cons…
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…