Results 61 to 70 of about 1,758 (174)
Soft Kirigami Composites for Form‐Finding of Fully Flexible Deployables
Advanced Materials Technologies, Volume 9, Issue 1, January 8, 2024.A new class of thin flexible structures are introduced that morph from flat into prescribed 3D shapes without an external stimulus such as mechanical loads or heat. To achieve control over the target shape, two different concepts are coupled: strain mismatch (inspired by biological growth) and kirigami cuts.
Jan Zavodnik +4 more
wiley +1 more source
On the integrability of a third-order Monge-Ampère type equation
, 1996 A third-order equation, similar to a Monge-Ampère equation, is studied, this being achieved by first converting the equation to a 3 × 3-hydrodynamics system.
Strachan, I.A.B.
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Smooth approximation of twisted Kähler-Einstein metrics
Advanced Nonlinear Studies, 2023 In this article, we prove the existence of smooth approximations of twisted Kähler-Einstein metrics using the variational method.
Jin Lize, Wang Feng
doaj +1 more source
In this work, we focus on studying the Aleksandrov solution of the Monge-Ampère equation. Initially, we develop the notion of a normal mapping and discuss its properties through proving concepts from convex analysis.
Berjawi, Fatima
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Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]
Opuscula MathematicaWe construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj +1 more source
Weak solutions to the complex Monge-Ampère equation
, 2014 Canonical Kahler metrics, such as Ricci-flat or Käahler-Einstein, are obtained via solving the complex Monge-Ampère equation. The famous Calabi-Yau theorem asserts the existence and regularity of solutions to this equation on compact Käahler manifolds ...
Kołodziej, Sławomir
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Stability and guaranteed error control of approximations to the Monge--Ampère equation
, 2023 This paper analyzes a regularization scheme of the Monge--Ampère equation by uniformly elliptic Hamilton--Jacobi--Bellman equations. The main tools are stability estimates in the $L^\infty$ norm from the theory of viscosity solutions which are ...
Gallistl, Dietmar, Tran, Ngoc Tien
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The Dirichlet Problem for the Degenerate Elliptic Monge–Ampère Equation
, 1999 The existence and uniqueness of the global C1,1/3 solution to the Dirichlet problem for the degenerate elliptic Monge–Ampère equation are proved, under mild conditions, and the application to the equation of the prescribed nonnegative Gauss curvature is ...
Bao, JG, Bao, Jiguang
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The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
Anais da Academia Brasileira de Ciências, 2008 In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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, 2019 We review recent advances in the numerical analysis of the Monge-Ampère equation. Various computational techniques are discussed including wide-stencil finite difference schemes, two-scaled methods, finite element methods, and methods based on geometric ...
Neilan, Michael +2 more
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