• DocumentCode
    1945151
  • Title

    Well-posedness of flows in networks with output

  • Author

    Zheng, Fu

  • Author_Institution
    Dept. of Math., Bohai Univ., Jinzhou, China
  • fYear
    2010
  • fDate
    15-16 Nov. 2010
  • Firstpage
    98
  • Lastpage
    101
  • Abstract
    In this note, the transport processes in networks with space dependent velocities on edges and output in a node was discussed by combining functional analytical and graph theoretical methods. This problem was converted into the terminology of operator semigroups and an abstract Cauchy problem was obtained on a suitable Banach space. The well-posedness of the system was given by showing the system operator generates a c0 semigroups.
  • Keywords
    Banach spaces; network theory (graphs); transport processes; Banach space; Cauchy problem; c0 semigroup; functional analytical method; graph theoretical method; space dependent velocity; transport process; Aerospace electronics; Dispersion; Equations; Joining processes; Lattices; Materials; Terminology; c0 semigroups; flows of networks; well-possedness;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Systems and Knowledge Engineering (ISKE), 2010 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-4244-6791-4
  • Type

    conf

  • DOI
    10.1109/ISKE.2010.5680803
  • Filename
    5680803
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1945151