Results 71 to 80 of about 17,957 (257)
Poisson geometry around Poisson submanifolds
Journal of the European Mathematical SocietyWe construct a first-order local model for Poisson manifolds around a large class of Poisson submanifolds and give conditions under which this model is a local normal form. The resulting linearization theorem includes as special cases all the known linearization theorems for fixed points and symplectic leaves.
Rui Loja Fernandes, Ioan Mărcuţ
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On the geometry of Kähler-Poisson structures
, 2011 We prove that the Riemannian geometry of almost Kähler manifolds can be expressed in terms of the Poisson algebra of smooth functions on the manifold. Subsequently, Kähler-Poisson algebras are introduced, and it is shown that a corresponding purely algebraic theory of geometry and curvature can be developed.
Arnlind, Joakim, Huisken, Gerhard
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New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
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Advanced Engineering Materials, EarlyView.During creep of a single‐crystal Ni‐based superalloy, the overall crystal orientation is observed to remain constant while the microstructure evolves. Despite the lack of macroscopic rotation, small (<1°) rotations are observed on the submicron size scale and are accommodated by counteracting rotations over the scale of several micrometers.
E. J. Payton +3 more
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APPLICATION OF THE VORTEX-IN-CELL METHOD FOR THE SIMULATION OF TWO-DIMENSIONAL VISCOUS FLOW
TASK Quarterly, 1999 In the paper the vortex in cell method for the simulation of the viscous flow in a complex geometry was described. Vorticity field is approximated by the collection of the particles that carries the circulation.
HENRYK KUDELA, HENRYK KUDELA
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Geometry of Manifolds and Applications
MathematicsThis editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
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Advanced Functional Materials, EarlyView.In situ Auger Electron Spectroscopy resolves oxidation states with high fidelity during the pulsed laser deposition of multivalent perovskite manganate and vanadate heterostructures. The chemical‐state signature is carried by the valence‐electron population of the transition‐metal cation, read out through the relative intensities of Auger fine ...
Harish Kumarasubramanian +1 more
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A Fast Poisson Solver for Complex Geometries
Journal of Computational Physics, 1995 The paper presents a robust fast solver for the Dirichlet problem \(\Delta u(x) = g(x)\) in \(D\), \(u(x) = f(x)\) on \(\partial D\), where \(D\) is an interior or exterior domain in \(\mathbb{R}^ 2\). The boundary is assumed to be smooth, but it may consist of many components.
McKenney, A., Greengard, L., Mayo, A.
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Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
Advanced Functional Materials, EarlyView.This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
wiley +1 more source
Poisson Geometry of Monic Matrix Polynomials [PDF]
International Mathematics Research Notices, 2015 We study the Poisson geometry of the first congruence subgroup $G_1[[z^{-1}]]$ of the loop group $G[[z^{-1}]]$ endowed with the rational r-matrix Poisson structure for $G=GL_m$ and $SL_m$. We classify all the symplectic leaves on a certain ind-subvariety of $G_1[[z^{-1}]]$ in terms of Smith Normal Forms.
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