Impacto
Downloads
Downloads per month over past year
Dao, Nguyen Anh and Díaz, Ildefonso Jesús (2020) Energy and large time estimates for nonlinear porous medium ow with nonlocal pressure in RN. Archive for Rational Mechanics and Analysis, 238 . pp. 299-345. ISSN 0003-9527
Preview |
PDF
494kB |
Official URL: https://doi.org/10.1007/s00205-020-01543-1
Abstract
We study the general family of nonlinear evolution equations of fractional diffusive type [delta]u-div(|u|m1[nabla]([delta]-s||u||m2-1u|= f. Such type of nonlocal equationsare related to the porous medium equations with a fractional Laplacian pressure.Our study concerns the case in which the ow takes place in the whole space. We consider m1;m2 > 0, and s 2 (0; 1), and prove existence of weak solutions. Moreover, when f _ 0 we obtain the Lp-L1 decay estimates of solutions, for p _ 1. Besides, we also investigate the _nite time extinction of solution. Our results improve the recent papers in the literature.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Quasilinear parabolic equations; Flows in porous media; Parabolic systems |
| Subjects: | Sciences > Physics > Mathematical physics Sciences > Mathematics > Differential equations |
| ID Code: | 73985 |
| Deposited On: | 22 Jul 2022 09:13 |
| Last Modified: | 03 Aug 2022 10:08 |
Origin of downloads
Repository Staff Only: item control page
