On the effect of boundaries in two-phase porous flow Articles uri icon

publication date

  • February 2015

start page

  • 435

end page

  • 461


  • 2


  • 28

International Standard Serial Number (ISSN)

  • 0951-7715

Electronic International Standard Serial Number (EISSN)

  • 1361-6544


  • In this paper we study a model of an interface between two fluids in a porous medium. For this model we prove several local and global well-posedness results and study some of its qualitative properties. We also provide numerics.


  • quasi-geostrophic flow; muskat problem; maximum principle; global existence; well-posedness; hele-shaw; equations; dynamics; waves; model