3D‐specific absorption rate estimation from high‐intensity focused ultrasound sonications using the Green's function heat kernel
Sign Up to like & getrecommendations! Published in 2018 at "Medical Physics"
DOI: 10.1002/mp.12978
Abstract: Purpose To evaluate a numerical inverse Green's function method for deriving specific absorption rates (SARs) from high‐intensity focused ultrasound (HIFU) sonications using tissue parameters (thermal conductivity, specific heat capacity, and mass density) and three‐dimensional (3D)… read more here.
Keywords: specific absorption; temperature; green function; method ... See more keywords
Computation of Green’s Function of 3-D Radiative Transport Equations for Non-isotropic Scattering of P and Unpolarized S Waves
Sign Up to like & getrecommendations! Published in 2017 at "Pure and Applied Geophysics"
DOI: 10.1007/s00024-017-1621-z
Abstract: In this work, I propose to model the propagation of high-frequency seismic waves in the heterogeneous Earth by means of a coupled system of radiative transfer equations for P and S waves. The model describes… read more here.
Keywords: propagation; energy; green function; transport ... See more keywords
Carleson Measure Estimates for the Green Function
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DOI: 10.1007/s00205-021-01746-0
Abstract: In the present paper we consider an elliptic divergence form operator in the half space and prove that its Green function is almost affine, or more precisely, that the normalized difference between the Green function… read more here.
Keywords: measure estimates; function; green function; carleson measure ... See more keywords
Two-Curve Green’s Function for 2-SLE: The Interior Case
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DOI: 10.1007/s00220-020-03725-0
Abstract: A 2- $$\hbox {SLE}_\kappa $$ SLE κ ( $$\kappa \in (0,8)$$ κ ∈ ( 0 , 8 ) ) is a pair of random curves $$(\eta _1,\eta _2)$$ ( η 1 , η 2 )… read more here.
Keywords: sle; green function; two curve; kappa ... See more keywords
Another form of 3D Green’s function for an elastic solid with exponential inhomogeneity
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DOI: 10.1007/s00707-017-1981-6
Abstract: The 3D Green’s function for an elastic solid with exponential inhomogeneity has already been obtained by Martin et al. (Proc R Soc Lond A 458:1931–1947, 2002). But, their Green’s function is separated into grading and… read more here.
Keywords: green function; solid exponential; function elastic; elastic solid ... See more keywords
A method based on LS-SVM to estimate time-domain Green function
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Marine Science and Technology"
DOI: 10.1007/s00773-020-00767-w
Abstract: How to calculate the 3D time-domain Green function and its gradients accurately and efficiently is the key to solving the hydrodynamic problem of ships. In this paper, the least square support vector machine (LS-SVM) theory… read more here.
Keywords: green function; domain green; time; time domain ... See more keywords
Schramm’s Formula and the Green’s Function for Multiple SLE
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DOI: 10.1007/s10955-019-02325-0
Abstract: We construct martingale observables for systems of multiple SLE curves by applying screening techniques within the CFT framework recently developed by Kang and Makarov, extended to admit multiple SLEs. We illustrate this approach by rigorously… read more here.
Keywords: green function; multiple sle; schramm formula; physics ... See more keywords
Analytical solution to transient inverse heat conduction problem using Green’s function
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DOI: 10.1007/s10973-020-09803-8
Abstract: A transient inverse heat conduction problem concerning jet impingement heat transfer has been solved analytically in this paper. Experimentally obtained transient temperature history at the non-impinging face, assumed to be the exposed surface in real… read more here.
Keywords: green function; inverse; heat; transient ... See more keywords
The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem
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DOI: 10.1007/s12346-017-0262-z
Abstract: An analogue of the Gelfand–Shilov estimate of the matrix exponential is proved for Green’s function of the problem of bounded solutions of the ordinary differential equation $$x'(t)-Ax(t)=f(t)$$x′(t)-Ax(t)=f(t). read more here.
Keywords: bounded solutions; gelfand shilov; green function; estimate ... See more keywords
Determination of Green's function for three-dimensional traction force reconstruction based on geometry and boundary conditions of cell culture matrices.
Sign Up to like & getrecommendations! Published in 2018 at "Acta biomaterialia"
DOI: 10.1016/j.actbio.2017.12.002
Abstract: Cell migration plays a particular important role in the initiation and progression of many physical processes and pathological conditions such as tumor invasion and metastasis. Three-dimensional traction force microscopy (TFM) of high resolution and high… read more here.
Keywords: boundary conditions; green function; deformation; geometry ... See more keywords
Wave component in the Green function for diffraction radiation of regular water waves
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DOI: 10.1016/j.apor.2018.10.006
Abstract: Abstract The Green function for diffraction radiation of regular waves in deep water is considered. The Green function G and its gradient ∇G involve non-oscillatory local-flow components L and ∇L, for which simple global approximations… read more here.
Keywords: diffraction radiation; green function; function diffraction; radiation regular ... See more keywords