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Moment Maps and Equivariant Volumes

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Acta Mathematica Sinica,English Series 2007年第12期23卷 2155-2188页

作者： Alberto DELLA VedOVA Roberto PAOLETTI dipartimento di matematica Università degli Studi di Parma Viale dipartimento di matematica e applicazioni Università degli Studi di Milano Bicocca

The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equiv... 详细信息

关键词： big line bundle asymptotic invariant moment map GIT quotient

BOUNDARY CONTROL OF TWO PDE'S SEPARATed BY INTERFACE CONdiTIONS

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Journal of Systems Science & Complexity 2010年第3期23卷 431-437页

作者： Orazio ARENA Walter LITTMAN dipartimento di matematica e applicazioni per l'Architettura Universit di Firenze School of Mathematics University of Minnesota Minneapolis

This paper discusses the null boundary controllability of two PDE's,modeling a compositesolid with different physical properties in each *** conditions are imposed.

关键词： Heat equation interface condition null boundary control Schroinger equation.

LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS

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Acta Mathematica Scientia 2012年第1期32卷 164-176页

作者： Donatella Donatelli Pierangelo Marcati dipartimento di matematica Pura ed Applicata Universita degli Studi dell'Aquila

This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior do... 详细信息

关键词： exterior domain compressible and incompressible Navier-Stokes equation low Mach number limit hyperbolic equations wave equations rescaling dispersive estimates Strichartz estimates

On the Proper Homotopy Invariance of the Tucker Property

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Acta Mathematica Sinica,English Series 2007年第3期23卷 571-576页

作者： Daniele Ettore OTERA Universitádi Palermo Dipartimento di Matematica ed Applicazionivia Archirafi 3490123-PalermoItaly and Université Paris-SudMathématiquesBt 42591405 Orsay Cedex-France

A non-compact polyhedron P is Tucker if, for any compact subset K begong to P, the fundamental group π1 （P - K） is finitely generated. The main result of this note is that a manifold which is proper homotopy equivalent to a Tucker polyhedron is Tucker. We use Poenaru＇s theory of the equivalence relations forced by the singularities of a non-degenerate simplicial map.

关键词： proper homotopy Φ/ψ-theory tucker property

ARBITRARILY HIGH-ORDER ENERGY-CONSERVING METHODS FOR HAMILTONIAN PROBLEMS WITH QUADRATIC HOLONOMIC CONSTRAINTS

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Journal of Computational Mathematics 2024年第4期42卷 1145-1171页

作者： Pierluigi Amodio Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro dipartimento di matematica Università di BariItaly dipartimento di matematica e Informatica"U.dini" Università di FirenzeItaly dipartimento di matematica Università di SalernoItaly

In this paper,we define arbitrarily high-order energy-conserving methods for Hamilto-nian systems with quadratic holonomic *** derivation of the methods is made within the so-called line integral *** tests to illustra... 详细信息

关键词： Constrained Hamiltonian systems Quadratic holonomic constraints Energy-conserving methods Line integral methods Hamiltonian Boundary Value Methods HB-VMs

Improving the Hydromechanical Deep-Drawing Process Using Aluminum Tailored Heat Treated Blanks

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Acta Metallurgica Sinica(English Letters) 2015年第12期28卷 1482-1489页

作者： Antonio Piccininni Gabriella di Michele Gianfranco Palumbo Donato Sorgente Luigi Tricarico dipartimento di Meccanica Matematica e Management Politecnico di Bari

The present work demonstrates the effectiveness of combining the hydromechanical deep-drawing process with the Tailored Heat Treated Blank（THTB） technique. In the hydromechanical deep-drawing process, the fluid pressure is used for postponing the fracture occurrence in the blank, while the THTB technique allows to create a material property gradient through a suitable artificial aging treatment carried out prior to the forming process. Since the number of process variables is large, in the present work the authors propose an optimization loop for the determination of the parameters controlling the extension of the blank regions to be subjected to the aging treatment and the temperature levels to be set during the heat treatment. The proposed methodology couples a simple finite element model（Abaqus） with a multiobjective optimization platform（mode FRONTIER）. A preliminary experimental campaign was carried out for determining the effect of the aging treatment on the mechanical（through tensile tests） and deformative（through formability tests）behavior of the AC170 PX aluminum alloy. Optimization results prove the effectiveness of the adopted methodology and put in evidence that the adoption of properly aged blanks in the hydromechanical deep drawing allows to increase the limit drawing ratio and to simplify the process since it is conducted at room temperature.

关键词： Aluminum alloy Aging Hydromechanical deep drawing Finite element analysis Mechanical characterization Formability

EQUIVALENCE OF SEMI-LAGRANGIAN AND LAGRANGE-GALERKIN SCHEMES UNDER CONSTANT ADVECTION SPEed

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Journal of Computational Mathematics 2010年第4期28卷 461-473页

作者： Roberto Ferretti dipartimento di matematica Università di Roma Tre

We compare in this paper two major implementations of large time-step schemes for advection equations, i.e., Semi-Lagrangian and Lagrange-Galerkin techniques. We show that SL schemes are equivalent to exact LG schemes via a suitable definition of the basis functions. In this paper, this equivalence will be proved assuming some simplifying hypoteses, mainly constant advection speed, uniform space grid, symmetry and translation invariance of the cardinal basis functions for interpolation. As a byproduct of this equivalence, we obtain a simpler proof of stability for SL schemes in the constant-coefficient case.

关键词： Semi-Lagrangian schemes Lagrange-Galerkin schemes Stability.

Groups with Finitely Many Homomorphic Images of Finite Rank

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Algebra Colloquium 2016年第2期23卷 181-187页

作者： Francesco de Giovanni Alessio Russo dipartimento di matematica e applicazioni Universitg di Napoli Federico II Complesso Universitario Monte S. Angelo Via Cintia 1-80126 Napoli Italy dipartimento di matematica e Fisica Seconda Universitg di Napoli Via Lincoln 5 1-81100 Caserta Italy

A group is called a Cernikov group if it is abelian-by-finite and satisfies the minimal condition on subgroups. A new characterization of Cernikov groups is given here, by proving that in a suitable large class of generalised soluble groups they coincide with the groups having only finitely many homomorphic images of finite rank （up to isomorphisms） and admitting an ascending normal series whose factors have finite rank.

关键词： Prufer rank Cernikov group homomorphic image

Groups with Supersoluble Non-normal Subgroups

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Algebra Colloquium 2016年第2期23卷 213-218页

作者： Maria De Falco Maria Martusciello Carmela Musella dipartimento di matematica e applicazioni Universita di Napoli Federico II Complesso Universitario Monte S. Angelo Via Cintia 1-80126 Napoli Italy

The structure of groups in which many subgroups have a certain property X has been investigated for several choices of the property χ.In particular, groups whose non-normal subgroups are supersoluble are studied ia t... 详细信息

关键词： supersoluble group polycyclic group normalizer subgroup