Results 111 to 120 of about 3,552,226 (242)
Integral formulations of the geometric eikonal equation
, 2020 We prove integral formulations of the eikonal equation ut = c(x, t)|Du|, equivalent to the notion of viscosity solution in the framework of the set-theoretic approach to front propagation problems.
Aurélien Monteillet
core
Existence of solutions to a global eikonal equation
, 2016 We derive a geometric necessary and sufficient condition for the existence of solutions to a global eikonal equation. We also study the existence of a minimal solution to this equation, and its relation with the well-known minimal time function ...
Nour, C.
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An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology. [PDF]
Vietnam J Math, 2022 Kunisch K, Trautmann P.
europepmc +1 more source
An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation
, 2017 We present an approximate method to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). A perturbation method is used to derive the perturbation formula for complex-valued traveltimes. The
Hao, Q., Alkhalifah, Tariq Ali
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Eikonal equation for modelling urban boundary evolution using Huygens principle and machine learning
Discover CitiesThe study presents the model of dynamic urban boundary evolution using the Eikonal equation arising in the wave Partial Differential Equation (PDE) using Huygens principle.
Pushkin Kachroo +2 more
doaj +1 more source
Cost-Effective Path Planning for Submarine Cable Network Extension
IEEE Access, 2019 We describe a cost-effective approach to path planning for submarine cables connecting a given site to an existing cable network on the Earth's surface. The objective is to minimize the overall life-cycle cost of submarine cables by considering multiple ...
Qing Wang +6 more
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Heterotic footprints in classical gravity: PM dynamics from on-shell soft amplitudes at one loop
Journal of High Energy PhysicsWe study classical scattering of charged black holes in Einstein-Maxwell-Dilaton (EMD) theory. Working in the classical (Post-Minkowskian) regime, we extract the conservative two-body potential by expanding the one-loop amplitudes in the soft regime.
Arpan Bhattacharyya +3 more
doaj +1 more source
Residual Physics-Informed Neural Networks for Seismic Tomography with Multi-Source Prior Constraints
MathematicsSeismic traveltime tomography is essential for constructing subsurface velocity models that underpin high-resolution imaging and inversion. Traditional ray- and eikonal-based methods are sensitive to the starting model and lack a unified, physically ...
Yanjin Xiang +3 more
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Eikonal equations on the Sierpinski gasket [PDF]
, 2014 We study the eikonal equation on the Sierpinski gasket in the spirit of the construction of the Laplacian in Kigami [8]: we consider graph eikonal equations on the prefractals and we show that the solutions of these problems converge to a function ...
Capitanelli, Raffaela +5 more
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