scholarly journals Viscous displacement in porous media: the Muskat problem in 2D

2018 ◽  
Vol 370 (10) ◽  
pp. 7511-7556 ◽  
Author(s):  
Bogdan–Vasile Matioc
Keyword(s):  
2013 ◽  
Vol 6 (2) ◽  
pp. 447-497 ◽  
Author(s):  
Antonio Córdoba ◽  
Diego Córdoba ◽  
Francisco Gancedo

2020 ◽  
Vol 15 ◽  
pp. 7 ◽  
Author(s):  
Rafael Granero-Belinchón ◽  
Omar Lazar

We review some recent results on the Muskat problem modelling multiphase flow in porous media. Furthermore, we prove a new regularity criteria in terms of some norms of the initial data in critical spaces (Ẇ1,∞ and Ḣ3∕2).


2016 ◽  
Vol 74 (2) ◽  
pp. 24607 ◽  
Author(s):  
Azza Zerriaa ◽  
Mohammed El Ganaoui ◽  
Christine Gerardin ◽  
Abdel Tazibt ◽  
Slimane Gabsi
Keyword(s):  

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