scholarly journals Invasive-Invaded System of Non-Lipschitz Porous Medium Equations with Advection

Author(s):  
Jose Luis Diaz Palencia
2019 ◽  
Vol 165 (1) ◽  
pp. 149-162
Author(s):  
Nicolau M. L. Diehl ◽  
Lucineia Fabris ◽  
Juliana S. Ziebell

Author(s):  
Ph. Laurençot ◽  
F. Simondon

Long-time behaviour of solutions to porous medium equations with convection is investigated when the initial datum is a non-negative and integrable function on the real line. The long-time profile of the solutions is determined, and depends on whether the convective or the diffusive effect dominates for large times. Sharp temporal decay estimates are also provided.


2021 ◽  
Vol 272 ◽  
pp. 433-472
Author(s):  
Sunghoon Kim ◽  
Ki-Ahm Lee

2018 ◽  
Vol 88 (317) ◽  
pp. 1021-1059
Author(s):  
Hubertus Grillmeier ◽  
Günther Grün

2017 ◽  
Author(s):  
Juliana Ziebell ◽  
Lucinéia Fabris ◽  
Janaina Zingano ◽  
Linéia Schütz

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