An inverse problem for the minimal surface equation in the presence of a riemannian metric [PDF]
Nonlinearity, 2023 In this work we study an inverse problem for the minimal surface equation on a Riemannian manifold (Rn,g) where the metric is of the form g(x)=c(x)(g^⊕e) .
J. Nurminen
semanticscholar +1 more source
The symmetric minimal surface equation [PDF]
Indiana University Mathematics Journal, 2023 and, geometrically, A (u) represents the area functional for S(u); that is, A (u) is the (n+m−1)-dimensional Hausdorff measure H n+m−1(S(u)). This is clear because the integrand √ 1+|Du|2 um−1 for A (u) is the Jacobian of the map (x,ω) ∈Ω×Sm−1 7→ (x, u(x)
K. Fouladgar, L. Simon
semanticscholar +1 more source
The time-like minimal surface equation in Minkowski space: low regularity solutions [PDF]
Inventiones Mathematicae, 2021 It has long been conjectured that for nonlinear wave equations that satisfy a nonlinear form of the null condition, the low regularity well-posedness theory can be significantly improved compared to the sharp results of Smith-Tataru for the generic case.
Albert Ai, M. Ifrim, D. Tataru
semanticscholar +1 more source
Plateau problem and minimal surfaces: numerical methods and applications
Lietuvos Matematikos Rinkinys, 2023 This article presents an overview of the results of solving the minimal surface equation by numerical methods. Another research task is the application of minimal surfaces in science, technology, especially architecture.
Mifodijus Sapagovas
doaj +3 more sources
Form-finding software and minimal surface equation: A comparative approach
, 2015 Jana Lipkovski, Aleksandar Lipkovski
openalex +3 more sources
Global regularity for the minimal surface equation in Minkowskian geometry
, 2010 Atanas Stefanov
openalex +3 more sources
Computing the area-minimizing surface by the Allen-Cahn equation with the fixed boundary
AIMS Mathematics, 2023 The Allen-Cahn equation is a famous nonlinear reaction-diffusion equation used to study geometric motion and minimal hypersurfaces. This link has been scrutinized to construct minimal surfaces for many years.
Dongsun Lee
doaj +1 more source
A Computational Model for q-Bernstein Quasi-Minimal Bézier Surface
Journal of Mathematics, 2022 A computational model is presented to find the q-Bernstein quasi-minimal Bézier surfaces as the extremal of Dirichlet functional, and the Bézier surfaces are used quite frequently in the literature of computer science for computer graphics and the ...
Daud Ahmad +5 more
doaj +1 more source
On the question of the smallest rolling resistance coefficient value of elastic wheel on a rigid horizontal surface [PDF]
E3S Web of Conferences, 2023 As is known, rolling resistance of an elastic wheel on a rigid support surface is determined by internal friction losses (hysteresis) in the wheel material and friction losses in the contact of wheel with support surface (friction losses in the hub ...
Mamaev Alexey +2 more
doaj +1 more source
Algebraic Aspects of the Supersymmetric Minimal Surface Equation [PDF]
Symmetry, 2017 In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal symmetries of this equation is determined.
A. Grundland, A. Hariton
semanticscholar +2 more sources