Results 31 to 40 of about 1,157,139 (313)
Global Existence for the Minimal Surface Equation on $\mathbb{R}^{1,1}$ [PDF]
, 2016 In a 2004 paper, Lindblad demonstrated that the minimal surface equation on $\mathbb{R}l^{1,1}$ describing graphical time-like minimal surfaces embedded in $\mathbb{R}^{1,2}$ enjoy small data global existence for compactly supported initial data, using ...
W. Wong
semanticscholar +1 more source
A gradient bound for free boundary graphs [PDF]
, 2010 We prove an analogue for a one-phase free boundary problem of the classical gradient bound for solutions to the minimal surface equation. It follows, in particular, that every energy-minimizing free boundary that is a graph is also smooth.
Aguilera +14 more
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The Coupled Seiberg-Witten Equations, vortices, and Moduli spaces of stable pairs [PDF]
, 1995 We introduce coupled Seiberg-Witten equations, and we prove, using a generalized vortex equation, that, for Kaehler surfaces, the moduli space of solutions of these equations can be identified with a moduli space of holomorphic stable pairs.
Okonek, Ch., Teleman, A.
core +4 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
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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
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Gravitational Instantons from Minimal Surfaces [PDF]
, 1998 Physical properties of gravitational instantons which are derivable from minimal surfaces in 3-dimensional Euclidean space are examined using the Newman-Penrose formalism for Euclidean signature.
A N Aliev +19 more
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A parabolic analogue of Finn's maximum principle
Abstract and Applied Analysis, 1998 We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.
Vasyl V. Kurta
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Journal of High Energy Physics, 2019 The main geometric ingredient of the closed string field theory are the string vertices, the collections of string diagrams describing the elementary closed string interactions, satisfying the quantum Batalian-Vilkovisky master equation.
Seyed Faroogh Moosavian, Roji Pius
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Elastic mechanical property hybridization of configuration-varying TPMS with geometric continuity
Materials & Design, 2022 Hybrid design is an effective approach to construct functional mechanical metamaterials. In this study, a periodic hybrid method for the TPMS (triply periodic minimal surface) structures is proposed, maintaining the original surface connectivity and ...
Tianyu Gao +4 more
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Minimal surfaces in S^3: a survey of recent results [PDF]
, 2013 In this survey, we discuss various aspects of the minimal surface equation in the three-sphere S^3. After recalling the basic definitions, we describe a family of immersed minimal tori with rotational symmetry.
Brendle, S.
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