• Title of article

    Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas

  • Author/Authors

    Giuseppe Al?، نويسنده , , ANSGAR JUNGEL، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    23
  • From page
    663
  • To page
    685
  • Abstract
    The existence of global smooth solutions to the multi-dimensional hydrodynamic model for plasmas of electrons and positively charged ions is shown under the assumption that the initial densities are close to a constant. The model consists of the conservation laws for the particle densities and the current densities, coupled to the Poisson equation for the electrostatic potential. Furthermore, it is proved that the particle densities converge exponentially fast to the (constant) steady state. The proof uses a higher-order energy method inspired from extended thermodynamics.
  • Keywords
    Thermodynamical energy , plasmas , hydrodynamic model , Global existence of smooth solutions , Exponential stability of steadystates , Long-time behavior of solutions
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2003
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    750449