Local Aronson-Bénilan Estimates for Porous Medium Equations Under Ricci Flow

2011 ◽  
Vol 24 (4) ◽  
pp. 324-333 ◽  
Author(s):  
Zhu Xiaobao
Keyword(s):  
Porous Medium ◽  
Ricci Flow ◽  
Porous Medium Equations

Gradient estimates for porous medium equations under the Ricci flow

2016 ◽  
Vol 31 (4) ◽  
pp. 481-490 ◽  
Author(s):  
Li-ju Shen ◽  
Sha Yao ◽  
Guang-ying Zhang ◽  
Xin-an Ren
Keyword(s):  
Porous Medium ◽  
Ricci Flow ◽  
Gradient Estimates ◽  
Porous Medium Equations

scholarly journals Decay Estimates for Solutions of Porous Medium Equations with Advection

2019 ◽  
Vol 165 (1) ◽  
pp. 149-162
Author(s):  
Nicolau M. L. Diehl ◽  
Lucineia Fabris ◽  
Juliana S. Ziebell
Keyword(s):  
Porous Medium ◽  
Decay Estimates ◽  
Porous Medium Equations

Long-time behaviour for porous medium equations with convection

1998 ◽  
Vol 128 (2) ◽  
pp. 315-336 ◽  
Author(s):  
Ph. Laurençot ◽  
F. Simondon
Keyword(s):  
Porous Medium ◽  
Real Line ◽  
Integrable Function ◽  
Time Profile ◽  
Decay Estimates ◽  
Time Behaviour ◽  
Temporal Decay ◽  
Long Time Behaviour ◽  
Long Time ◽  
Porous Medium Equations

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.

scholarly journals System of porous medium equations

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

Nonnegativity preserving convergent schemes for stochastic porous-medium equations

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