Results 51 to 60 of about 1,025 (192)
A Weierstrass-type representation for Lagrangian surfaces in R^4
, 2000 International audienceWe derive a Weierstrass-type formula for conformal Lagrangian immersions in complex Euclidean 2-space, and show that the data satisfies a Dirac-type equation with complex potential.
Romon, Pascal
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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Minimal Surfaces: Properties, Examples, Isometric Deformations and Weierstrass representation [PDF]
, 2021 RESUMEN: Las superficies minimales cobran un especial interés a lo largo de la historia, es por eso que estudiaremos distintas propiedades para identificar este tipo de superficies.
Pérez de Diego, Bárbara
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Triply periodic minimal surfaces (TPMS) constitute a prominent class of cellular structures and have gained considerable attention in current research. These structures are genus‐infinite surfaces with zero mean curvature, which prevents self‐intersection. They also exhibit periodicity in all three spatial directions and exhibit enhanced multi‐
Sören Bieler +3 more
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Minimal Surfaces and The Weierstrass-Enneper Representation
, 2020 The field of minimal surfaces is an intriguing study, not only because of the exotic structures that these surfaces admit, but also for the deep connections among various mathematical disciplines.
Snyder, Evan
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The Weierstrass representation of closed surfaces in ℝ3
Functional Analysis and Its Applications, 1998 In the present paper which a sequel to dg-ga/9511005 and dg-ga//9610013 a global Weierstrass representation of an arbitrary closed oriented surface of genus $\geq 1$ in the the three-space is constructed. The Weierstrass spectrum of a torus immersed into $R^3$ is introduced and finite-zone planes as well as finite-zone solutions to the modified Novikov-
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On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
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Advanced Quantum Technologies, Volume 9, Issue 6, June 2026.This review explores how quantum activation functions can contribute to the evolution of neural networks toward quantum computing. The results show that classical‐quantum hybrid architectures are being tested in some practical applications, while fully quantum models are still in the development phase. These functions represent an important step toward
Petterson Pina dos Santos +2 more
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The spinor and Weierstrass representations of surfaces in space
, 2022 In this paper, following Sullivan, Kusner, and Schmitt, we study conformal immersions of Riemann surfaces into the three-dimensional Euclidean space. Regarding such immersions as special bundle maps from the tangent bundle of the surface to the cotangent bundle of the 2-dimensional sphere, we generalize the classical Weierstrass representation of ...
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Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres.
MATHEMATICA SCANDINAVICA, 1997 We construct large families of harmonic morphisms which are holomorphic with respect to Hermitian structures by finding heierarchies of Weierstrass-type representations. This enables us to find new examples of complex-valued harmonic morphisms from Euclidean spaces and spheres.
Baird, P., Wood, J.C.
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