6 citations · 16 across the 15 of their papers we have counts for
15 papers
Inverse problem of recovering a time-dependent nonlinearity appearing in third-order nonlinear acoustic equations
Song-Ren Fu, Peng-Fei Yao, Yongyi Yu
In this paper, we consider the inverse problem of recovering a time-dependent nonlinearity for a third order nonlinear acoustic equation, which is known as the Jordan-Moore-Gibson-…
Infinitesimal Rigidity of Strain Tensors for Shells with Mixed Type and its Applications
Liang-Biao Chen, Peng-Fei Yao
We derive an infinitesimal rigidity lemma for the strain tensor of surfaces with their curvatures changing sign. As an application, we obtain the optimal constant in the first Korn…
Strain Tensors and Matching Property on Surfaces with the Gauss curvature changing sign
Liang-Biao Chen, Peng-Fei Yao
We prove the regularity of solutions to the strain tensor equation on a region with the Gauss curvature changing sign. Furthermore, we obtain the density property that smooth i…
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…
Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells
Peng-Fei Yao
The optimal exponentials of the thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells. We obtain that the lower bounds of the optima…