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[00487] A strongly nonlinear anisotropic parabolic-elliptic system: analysis and numerical simulation

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @G502
  • Type : Contributed Talk
  • Abstract : We study the existence of a capacity solution to a nonlinear coupled parabolic-elliptic system. This system is a generalization of the so-called thermistor problem which models a temperature dependent electrical resistor. In this analysis we have considered the case where $Au$ is an operator of the Leray-Lions class defined in an anisotropic Sobolev space. We also show some numerical simulations of this problem and we discuss the obtained results.
  • Classification : 35K55, 35J70, 46E35
  • Format : Talk at Waseda University
  • Author(s) :
    • Francisco Ortegón Gallego (Universidad de Cádiz)
    • Manar Lahrache (Moulay Ismail University)
    • Mohamed Rhoudaf (Moulay Ismail University)
    • Hajar Talbi (Moulay Ismail University)