Seminal Paper

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 35286 Experts worldwide ranked by ideXlab platform

Pol Antras - One of the best experts on this subject based on the ideXlab platform.

Emil Wiedemann - One of the best experts on this subject based on the ideXlab platform.

  • young measures generated by ideal incompressible fluid flows
    Archive for Rational Mechanics and Analysis, 2012
    Co-Authors: Laszlo Szekelyhidi, Emil Wiedemann
    Abstract:

    In their Seminal Paper, DiPerna and Majda (Commun Math Phys 108(4):667–689, 1987) introduced the notion of a measure-valued solution for the incompressible Euler equations in order to capture complex phenomena present in limits of approximate solutions, such as persistence of oscillation and development of concentrations. Furthermore, they gave several explicit examples exhibiting such phenomena. In this Paper we show that any measure-valued solution can be generated by a sequence of exact weak solutions. In particular this gives rise to a very large, arguably too large, set of weak solutions of the incompressible Euler equations.

  • young measures generated by ideal incompressible fluid flows
    arXiv: Analysis of PDEs, 2011
    Co-Authors: Laszlo Szekelyhidi, Emil Wiedemann
    Abstract:

    In their Seminal Paper "Oscillations and concentrations in weak solutions of the incompressible fluid equations", R. DiPerna and A. Majda introduced the notion of measure-valued solution for the incompressible Euler equations in order to capture complex phenomena present in limits of approximate solutions, such as persistence of oscillation and development of concentrations. Furthermore, they gave several explicit examples exhibiting such phenomena. In this Paper we show that any measure-valued solution can be generated by a sequence of exact weak solutions. In particular this gives rise to a very large, arguably too large, set of weak solutions of the incompressible Euler equations.

Kurt Maute - One of the best experts on this subject based on the ideXlab platform.

  • Topology optimization approaches: A comparative review
    Structural and Multidisciplinary Optimization, 2013
    Co-Authors: Ole Sigmund, Kurt Maute
    Abstract:

    Topology optimization has undergone a tremendous development since its introduction in the Seminal Paper by Bendsøe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The Paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.

Laszlo Szekelyhidi - One of the best experts on this subject based on the ideXlab platform.

  • young measures generated by ideal incompressible fluid flows
    Archive for Rational Mechanics and Analysis, 2012
    Co-Authors: Laszlo Szekelyhidi, Emil Wiedemann
    Abstract:

    In their Seminal Paper, DiPerna and Majda (Commun Math Phys 108(4):667–689, 1987) introduced the notion of a measure-valued solution for the incompressible Euler equations in order to capture complex phenomena present in limits of approximate solutions, such as persistence of oscillation and development of concentrations. Furthermore, they gave several explicit examples exhibiting such phenomena. In this Paper we show that any measure-valued solution can be generated by a sequence of exact weak solutions. In particular this gives rise to a very large, arguably too large, set of weak solutions of the incompressible Euler equations.

  • young measures generated by ideal incompressible fluid flows
    arXiv: Analysis of PDEs, 2011
    Co-Authors: Laszlo Szekelyhidi, Emil Wiedemann
    Abstract:

    In their Seminal Paper "Oscillations and concentrations in weak solutions of the incompressible fluid equations", R. DiPerna and A. Majda introduced the notion of measure-valued solution for the incompressible Euler equations in order to capture complex phenomena present in limits of approximate solutions, such as persistence of oscillation and development of concentrations. Furthermore, they gave several explicit examples exhibiting such phenomena. In this Paper we show that any measure-valued solution can be generated by a sequence of exact weak solutions. In particular this gives rise to a very large, arguably too large, set of weak solutions of the incompressible Euler equations.

Claudio Squarcella - One of the best experts on this subject based on the ideXlab platform.

  • on the area requirements of euclidean minimum spanning trees
    Computational Geometry: Theory and Applications, 2014
    Co-Authors: Patrizio Angelini, Till Bruckdorfer, Marco Chiesa, Fabrizio Frati, Michael Kaufmann, Claudio Squarcella
    Abstract:

    In their Seminal Paper on Euclidean minimum spanning trees, Monma and Suri (1992) proved that any tree of maximum degree 5 admits a planar embedding as a Euclidean minimum spanning tree. Their algorithm constructs embeddings with exponential area; however, the authors conjectured that there exist n-vertex trees of maximum degree 5 that require c^nxc^n area to be embedded as Euclidean minimum spanning trees, for some constant c>1. In this Paper, we prove the first exponential lower bound on the area requirements for embedding trees as Euclidean minimum spanning trees.

  • on the area requirements of euclidean minimum spanning trees
    Workshop on Algorithms and Data Structures, 2011
    Co-Authors: Patrizio Angelini, Till Bruckdorfer, Marco Chiesa, Fabrizio Frati, Michael Kaufmann, Claudio Squarcella
    Abstract:

    In their Seminal Paper on Euclidean minimum spanning trees [Discrete & Computational Geometry, 1992], Monma and Suri proved that any tree of maximum degree 5 admits a planar embedding as a Euclidean minimum spanning tree. Their algorithm constructs embeddings with exponential area; however, the authors conjectured that cn × cn area is sometimes required to embed an n-vertex tree of maximum degree 5 as a Euclidean minimum spanning tree, for some constant c > 1. In this Paper, we prove the first exponential lower bound on the area requirements for embedding trees as Euclidean minimum spanning trees.