5 papers
Uniqueness of dynamic elastography for isotropic standard linear solid viscoelastic media
Yu Jiang, Ching-Lung Lin, Gen Nakamura
Dynamic elastography is a widely used, safe, convenient, and cost-effective method to aid in medical diagnosis. It visualizes the wave field propagating through living tissues and…
Explicit form of relaxation tensor for isotropic extended Burgers model and its spectral inversion
Youjun Deng, Ching-Lung Lin, Gen Nakamura
Concerning the anelastic nature of Earth, the quasi-static extended Burgers model (abbreviated by q-EBM), an integro-differential system, is used to study the free oscillation of E…
Inverse spectral problem for glassy state relaxation approximated by Prony series
Shuli Chen, Marrten V. de Hoop, Youjun Deng +2
The stretched exponential relaxation function is used to analyze the relaxation of the glassy state data. Due to the singularity of this function at the origin, this function is in…
Clustered eigenvalue problem for glassy state relaxation and its inverse problem
Shuli Chen, Maarten V. de Hoop, Youjun Deng +2
For computational convenience, a Prony series approximation of the stretched exponential relaxation function of homogeneous glasses has been proposed (J. Mauro, Y. Mauro, 2018), wh…
Uniform Decaying Property of Solutions for Anisotropic Viscoelastic Systems
Maarten V. de Hoop, Ching-Lung Lin, Gen Nakamura
The paper concerns about the uniform decaying property (abbreviated by UDP) of solutions for an anisotropic viscoelastic system in the form of integrodifferential system (abbreviat…