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Non-simultaneous quenching in a system of heat equations coupled at the boundary

  • Raúl Ferreira
  • Arturo de Pablo
  • Fernando Quirós
  • Julio D. Rossi
Original Paper

Abstract.

We study the solutions of a parabolic system of heat equations coupled at the boundary through a nonlinear flux. We characterize in terms of the parameters involved when non-simultaneous quenching may appear. Moreover, if quenching is non-simultaneous we find the quenching rate, which surprisingly depends on the flux associated to the other component.

Mathematics Subject Classification (2000).

35B40 35K45 35K55 

Keywords.

Quenching parabolic system non-simultaneous 

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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  • Raúl Ferreira
    • 1
  • Arturo de Pablo
    • 1
  • Fernando Quirós
    • 1
  • Julio D. Rossi
    • 2
  1. 1.Departamento de MatemáticasU. Carlos III de MadridLeganésSpain
  2. 2.Departamento de MatemáticasU. Autónoma de MadridMadridSpain

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