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Porous Medium Model in Contact with Slow Reservoirs

  • Renato de Paula
  • Patrícia GonçalvesEmail author
  • Adriana Neumann
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 258)

Abstract

We analyse the hydrodynamic limit of the porous medium model in contact with slow reservoirs which is given by a porous medium equation with Dirichlet, Robin or Neumann boundary conditions depending on the range of the parameter that rules the slowness of the reservoirs.

Keywords

Porous medium model Hydrodynamic limit Porous medium equation Boundary conditions 

Notes

Acknowledgements

A. N. was supported through a grant “L’ORÉAL-ABC-UNESCO Para Mulheres na Ciência”. P. G. thanks FCT/Portugal for support through the project UID/MAT/04459/2013. R. P. thanks FCT/Portugal for support through the project Lisbon Mathematics PhD (LisMath). This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovative programme (grant agreement No 715734).

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Renato de Paula
    • 1
  • Patrícia Gonçalves
    • 1
    Email author
  • Adriana Neumann
    • 2
  1. 1.Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de LisboaLisboaPortugal
  2. 2.UFRGS, Instituto de Matemática, Campus do ValePorto AlegreBrazil

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