Radiating and non-radiating sources in elasticity
In this work, we study the inverse source problem of a fixed frequency for the Navier
equation. We investigate non-radiating external forces. If the support of such a force has a …
equation. We investigate non-radiating external forces. If the support of such a force has a …
On an algorithm for two-term spectral asymptotic formulas
G Liu - arXiv preprint arXiv:2309.07475, 2023 - arxiv.org
In the book [Yu. Safarov and D. Vassiliev, The asymptotic distribution of eigenvalues of
partial differential operators, Amer. Math. Soc., Providence, RI, 1997], a key and …
partial differential operators, Amer. Math. Soc., Providence, RI, 1997], a key and …
Boundary determination of the Lamé moduli for the isotropic elasticity system
YH Lin, G Nakamura - Inverse Problems, 2017 - iopscience.iop.org
We consider the inverse boundary value problem of determining the Lamé moduli of an
isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to …
isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to …
Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map
MV De Hoop, G Nakamura, J Zhai - SIAM Journal on Applied Mathematics, 2019 - SIAM
We study the recovery of piecewise analytic density and stiffness tensor of a three-
dimensional domain from the local dynamical Dirichlet-to-Neumann map. We give global …
dimensional domain from the local dynamical Dirichlet-to-Neumann map. We give global …
Eigenvalue inequalities and three-term asymptotic formulas of the heat traces for the Lam\'{e} operator and Stokes operator
G Liu - arXiv preprint arXiv:2406.17060, 2024 - arxiv.org
This paper is devoted to establish the most essential connections of the eigenvalue
problems for the Laplace operator, Lam\'{e} operator, Stokes operator, buckling operator and …
problems for the Laplace operator, Lam\'{e} operator, Stokes operator, buckling operator and …
Gauge freedoms in the anisotropic elastic Dirichlet-to-Neumann map
J Ilmavirta, H Schlüter - arXiv preprint arXiv:2309.15666, 2023 - arxiv.org
We address the inverse problem of recovering the stiffness tensor and density of mass from
the Dirichlet-to-Neumann map. We study the invariance of the Euclidean and Riemannian …
the Dirichlet-to-Neumann map. We study the invariance of the Euclidean and Riemannian …
Analysis of inverse boundary value problems for elastic waves
J Zhai - 2018 - search.proquest.com
In seismology, people use waves generated by earthquakes, artificial explosions, or even"
noises", to detect the Earth's interior structure. The waves traveling in rocks, which are the …
noises", to detect the Earth's interior structure. The waves traveling in rocks, which are the …