Results 41 to 50 of about 217,202 (282)
MathematicsThis paper introduces a singular distance function rs in terms of a symmetric non-negative metric tensor S. If S satisfies a quadratic matrix equation involving a parameter β, then for the Laplace equation rsβ is a non-singular generalized radial basis ...
Chein-Shan Liu, Chung-Lun Kuo
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Materials Theory, 2021 This study is dedicated to the determination of the surface energy and stress of nanoparticles and cavities in presence of pressure, and to the evaluation of the accuracy of the Young-Laplace equation for these systems. Procedures are proposed to extract
Laurent Pizzagalli, Marie-Laure David
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Matrix Inequality for the Laplace Equation
, 2017 Since Li and Yau obtained the gradient estimate for the heat equation, related estimates have been extensively studied. With additional curvature assumptions, matrix estimates that generalize such estimates have been discovered for various time-dependent
Park, Jiewon
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A generalization of the Hopf-Cole transformation for stationary Mean Field Games systems [PDF]
, 2015 In this note we propose a transformation which decouples stationary Mean Field Games systems with superlinear Hamiltonians of the form |p|^r, and turns the Hamilton-Jacobi-Bellman equation into a quasi-linear equation involving the r-Laplace operator ...
Cirant, Marco
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Existence of solutions for a higher order non-local equation appearing in crack dynamics
, 2010 In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures.
A Mellet +17 more
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Sine-Laplace equation, sink - Laplace equation and harmonic maps
Manuscripta Mathematica, 1982 The relationship between harmonic maps from R2 to S2, H2, ST,1, S1,1(−1) and the ± sinh — Laplace, ± sine — Laplace equation is found respectively. Existence theorems of some boundary value problems for the above harmonic maps are obtained. In the cases of H2, S1,1(+1), S1,1(−1) the results are global.
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Precise Solution of Laplace's Equation [PDF]
Mathematics of Computation, 1995 An approximate method is described for solving Laplace’s equation \[ { Δ u = 0 u
Shi, Zhixin, Hassard, Brian
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Mathematics, 2021 In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
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Separation of Laplace’s equation [PDF]
Quarterly of Applied Mathematics, 1949 The following results are established in this paper: (I) ∗ ∗ ^{**} For the Laplace equation Δ θ = 0 \Delta \theta = 0 in curvilinear co-ordinates ( u , v , w ...
Levinson, N. +2 more
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Electrical Conductivities of Conductors, Semiconductors, and Their Mixtures at Elevated Temperatures
Advanced Engineering Materials, EarlyView.This article presents a comprehensive review of temperature‐dependent electrical conductivity data for multiple material classes at elevated temperatures, highlighting a persistent conductivity gap between metals and semiconductors in the range of 102$\left(10\right)^{2}$– 107$\left(10\right)^{7}$ S/m. Metal–ceramic irregular metamaterials are proposed
Valentina Torres Nieto, Marcia A. Cooper
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