Determining Nodes for the Ginzburg-landau Equations of Superconductivity

نویسندگان

  • Hans G. Kaper
  • Bixiang Wang
  • Shouhong Wang
چکیده

It is shown that a solution of the time-independent Ginzburg-Landau equations of superconductivity is determined completely and exactly by its values at a nite but suuciently dense set of determining nodes in the domain. If the applied magnetic eld is time dependent and asymptotically stationary, the large-time asymptotic behavior of a solution of the time-dependent Ginzburg-Landau equations of superconductivity is determined similarly by its values at a nite set of determining nodes, whose positions may vary with time.

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تاریخ انتشار 2007