Results 31 to 40 of about 556,024 (324)
Reliability-Based Criterion for Evaluating Explicit Approximations of Colebrook Equation
Journal of Marine Science and Engineering, 2022 Numerous explicit approximations of the Colebrook equation have been developed and evaluated based on two criteria: prediction accuracy and computational efficiency.
Said M. Easa +2 more
doaj +1 more source
Survey on the Asymptotic Dirichlet Problem for the Minimal Surface Equation [PDF]
Minimal Surfaces: Integrable Systems and Visualisation, 2019 We give a survey on the development of the study of the asymptotic Dirichlet problem for the minimal surface equation on Cartan-Hadamard manifolds. Part of this survey is based on the introductory part of the doctoral dissertation of the author.
E. Heinonen
semanticscholar +1 more source
D-type minimal conformal matter: quantum curves, elliptic Garnier systems, and the 5d descendants
Journal of High Energy Physics, 2023 We study the quantization of the 6d Seiberg-Witten curve for D-type minimal conformal matter theories compactified on a two-torus. The quantized 6d curve turns out to be a difference equation established via introducing codimension two and four surface ...
Jin Chen, Yongchao Lü, Xin Wang
doaj +1 more source
Tribology Online, 2022 This paper presents a modified Reynolds equation for analyzing thin film lubrication with a saturated high-viscosity surface layer on a solid surface.
Kyosuke Ono
doaj +1 more source
Case Studies in Thermal Engineering, 2021 Sequel to all the published facts on the dynamics of water and ethylene glycol on a convectively heated surface conveying alumina and copper nanoparticles as applicable in engineering and industry, noting is known on the significance of haphazard motion ...
Ying-Qing Song +5 more
doaj +1 more source
Solutions to the Allen Cahn Equation and Minimal Surfaces [PDF]
Milan Journal of Mathematics, 2011 This is a survey of several results of the authors and collaborators related to De Giorgi's conjecture for dimension \(N \geq 9\). Giorgi's conjecture, for \(N \leq 8\) is as follows: Let \(u\) be a bounded solution of the Allen Cahn (AC) equation \[ \Delta u + u -u^3 =0 \] in \({\mathbb R}^N\), which is monotone in one direction, say \(\partial_{x_N}u>
del Pino, Manuel, Wei, Juncheng
openaire +4 more sources
Thermodynamic Bethe ansatz equations for minimal surfaces in AdS 3 [PDF]
Journal of High Energy Physics, 2010 25 pages, 4 figures, v2: a figure and references added, minor corrections, v3: references added, minor corrections, to appear in ...
Yasuyuki Hatsuda +3 more
openaire +3 more sources
Mathematical Model and Numerical Simulation for Tissue Growth on Bioscaffolds
Applied Sciences, 2019 Tissue growth on bioscaffolds can be controlled using substrate geometry such as substrate curvature. In this study, we present a mathematical model and numerical simulation method for tissue growth on a bioscaffold to investigate the effect of local ...
Hyun Geun Lee +4 more
doaj +1 more source
Algorithmic Improvements to Finding Approximately Neutral Surfaces
Journal of Advances in Modeling Earth Systems, 2021 Interior oceanic motions occur predominantly along, rather than across, the neutral tangent plane. These planes do not link together to form well‐defined surfaces, so oceanographers use approximately neutral surfaces.
Geoffrey J. Stanley +2 more
doaj +1 more source
Minimal surface systems, maximal surface systems and special Lagrangian equations [PDF]
Transactions of the American Mathematical Society, 2012 We extend Osserman's lemma on the generalized Gauss map of two-dimensional minimal graphs of higher codimension, construct a Jenkins-Serrin type special Lagrangian Scherk graph explicitly, and generalize Calabi's correspondence between minimal graphs and maximal graphs.
openaire +3 more sources