2026-06-29T02:27:37Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/72422023-07-14T02:00:11Zcom_20.500.14352_14col_20.500.14352_15

Energy and large time estimates for nonlinear porous medium ow with nonlocal pressure in RN Dao, Nguyen Anh Díaz, Ildefonso Jesús 51-73 517.9 Quasilinear parabolic equations Flows in porous media Parabolic systems Física matemática Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas FALSE pub 2023-06-17T08:28:46Z 2023-06-17T08:28:46Z 2020-06-12 journal article https://hdl.handle.net/20.500.14352/7242 0003-9527 10.1007/s00205-020-01543-1 eng open access application/pdf Springer