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Global uniqueness for an inverse boundary value problem arising in elasticity
We prove that we can determine the Lame parameters of an elastic, isotropic, inhomogeneous medium in dimensionsn≧3, by making measurements of the displacements and corresponding stresses at theExpand
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Effect of humidity on human comfort and productivity after step changes from warm and humid environment
Abstract Subjective experiments were conducted to evaluate the effects of humidity on human comfort and productivity under transient conditions from hot and humid environment to thermally neutralExpand
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Uniqueness in Inverse Problems for the Isotropic Lame System
For isotropic Lame systems with variable coefficients, we discuss inverse problems of determining force terms or densities from a finite number of measurements of lateral boundary data.We establishExpand
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The integral equation method for electromagnetic scattering problem at oblique incidence
We consider the scattering of electromagnetic waves scattered by an infinitely long impedance cylinder at oblique incidence, which is modeled as a system of a pair of the two-dimensional HelmholtzExpand
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Global uniqueness for an inverse boundary problem arising in elasticity
SummaryWe prove that we can determine the Lamé parameters of an elastic, isotropic, inhomogeneous medium in dimensionsn≧3, by making measurements of the displacements and corresponding stresses atExpand
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Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations
We study an initial boundary value problem for the equations of plane magnetohydrodynamic compressible flows, and prove that as the shear viscosity goes to zero, global weak solutions converge to aExpand
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Unique continuation property for anomalous slow diffusion equation
ABSTRACT A Carleman estimate and the unique continuation of solutions for an anomalous diffusion equation with fractional time derivative of order 0 < α <1 are given. The estimate is derived throughExpand
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Unique continuation property for the anomalous diffusion and its application
Abstract The unique continuation for anomalous diffusion operators with fractional time derivative of order 1/2 is proved by deriving Carleman estimates for the operators. By applying operators whichExpand
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Inverse problems at the boundary for an elastic medium
In this paper, it is proven that one can determine the full Taylor series of the elastic tensor of an elastic, isotropic, inhomogeneous medium in all dimensions $n \geq 2$ and for a genericExpand
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Inverse Modeling An introduction to the theory and methods of inverse problems and data assimilation
TLDR
This book provides a comprehensive introduction to the techniques, tools and methods for inverse problems and data assimilation, and is written at the interface between mathematics and applications. Expand
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