Results 21 to 30 of about 1,157,139 (313)

A New Proof of the Interior Gradient Bound for the Minimal Surface Equation in n Dimensions

Proceedings of the National Academy of Sciences of the United States of America, 1972
Neil S. Trudinger
openalex   +3 more sources

An Application of Variational Minimization: Quasi-Harmonic Coons Patches

Journal of Function Spaces, 2022
For a minimal surface, the mean curvature of the surface vanishes for all possible parameterizations which results in a second-order nonlinear partial differential equation (pde), whose solution in general is the desired surface as the unknown function ...
Daud Ahmad, Kiran Naz, Sadia Bashir, Abdul Bariq   +3 more
doaj   +1 more source

A Level Set-Based Model for Image Segmentation under Geometric Constraints and Data Approximation

Journal of Imaging, 2023
In this paper, we propose a new model for image segmentation under geometric constraints. We define the geometric constraints and we give a minimization problem leading to a variational equation.
Guzel Khayretdinova, Dominique Apprato, Christian Gout   +2 more
doaj   +1 more source

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, Ahmed A. Lamri, Dejan Brkić   +2 more
doaj   +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

Modified Reynolds Equations for Thin Film Lubrication with Saturated High-Viscosity Surface Layer and Lubrication Analysis of Tapered Pad Bearing

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

Significance of haphazard motion and thermal migration of alumina and copper nanoparticles across the dynamics of water and ethylene glycol on a convectively heated surface

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, B.D. Obideyi, Nehad Ali Shah, I.L. Animasaun, Y.M. Mahrous, Jae Dong Chung   +5 more
doaj   +1 more source

Wilson Loops and Minimal Surfaces [PDF]

, 1999
The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge theory expectations
A. A. Migdal, A. Brandhuber, A. M. Polyakov, A. W. Peet, C. R. Graham, D. Berenstein, D. Z. Freedman, David J. Gross, E. Witten, E. Witten, G. ’t Hooft, H. Nicolai, Hirosi Ooguri, J. Greensite, J. Maldacena, J. Maldacena, K. G. Wilson, M. Lüscher, Nadav Drukker, R. A. Brandt, S. Lee, S. S. Gubser, V. A. Kazakov, Y. M. Makeenko, Y. Makeenko   +24 more
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Minimal Lagrangian surfaces in CH^2 and representations of surface groups into SU(2,1) [PDF]

, 2012
We use an elliptic differential equation of Tzitzeica type to construct a minimal Lagrangian surface in the complex hyperbolic plane CH^2 from the data of a compact hyperbolic Riemann surface and a small holomorphic cubic differential.
Loftin, John, McIntosh, Ian
core   +1 more source

The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface [PDF]

, 2003
In this paper we obtain the general solution to the minimal surface equation, namely its local Weierstrass-Enneper representation, by using a system of hodographic coordinates.
Dey, Rukmini
core   +2 more sources