Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Akif Ibragimov"'
Publikováno v:
Turkish Journal of Mathematics. 47:934-948
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::789f854abde3cad395014f21a2946042
https://doi.org/10.55730/1300-0098.3404
https://doi.org/10.55730/1300-0098.3404
Autor:
Akif Ibragimov, Thinh Kieu
Publikováno v:
Computers & Mathematics with Applications. 72:1467-1483
We study the expanded mixed finite element method applied to degenerate parabolic equations with the Dirichlet boundary condition. The equation is considered a prototype of the nonlinear Forchheimer equation for slightly compressible fluid flow in po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0a9c2db3fbe93e3bca495e97909211c
https://doi.org/10.1016/j.camwa.2016.06.029
https://doi.org/10.1016/j.camwa.2016.06.029
Publikováno v:
Evolution Equations and Control Theory. 5:1-36
We discuss the notion of the well productivity index (PI) for the generalized Forchheimer flow of fluid through porous media. The PI characterizes the well capacity with respect to drainage area of the well and in general is time dependent. In case o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c5f6895487444beb837b06ee4b36f45
https://doi.org/10.3934/eect.2016.5.1
https://doi.org/10.3934/eect.2016.5.1
Publikováno v:
Journal of Mathematical Sciences. 210:476-544
The dynamics of generalized Forchheimer equations for slightly compressible fluids are tudied by means of initial boundary value problem for the pressure. We prove that the solutions continuously depend on the boundary data and the Forchheimer polyno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e333be330c46124a53d11c98c5ca3163
https://doi.org/10.1007/s10958-015-2576-1
https://doi.org/10.1007/s10958-015-2576-1
In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy and post-Darcy. Because of their different natures, these are usually treated separately in literature. To study complex flows when all three regimes may be prese
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec77d05b43402b0558bd1c2e387d1938
https://hdl.handle.net/20.500.12619/6077
https://hdl.handle.net/20.500.12619/6077
In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear Forchheim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a759addfb2b7bf58242b6d203b6cac81
Publikováno v:
Advances in Water Resources. 70:77-88
In this work we propose upscaling method for nonlinear Forchheimer flow in heterogeneous porous media. The generalized Forchheimer law is considered for incompressible and slightly-compressible single-phase flows. We use recently developed analytical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a12919ffa3294a2822ecc4835960da85
https://doi.org/10.1016/j.advwatres.2014.04.016
https://doi.org/10.1016/j.advwatres.2014.04.016
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 7:1133-1148
In this work, we consider the dynamical response of a non-linear beam with changing thickness, perturbed in both vertical and axial directions, interacting with a Darcy flow. We explore this fluid-structure interaction problem where the fluid is assu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3996a05ec45e9f5efd0fa9eccececc51
https://doi.org/10.3934/dcdss.2014.7.1133
https://doi.org/10.3934/dcdss.2014.7.1133
Publikováno v:
Evolution Equations & Control Theory. 2:193-232
In this paper we study the dynamical response of a non-linear plate with viscous damping perturbed in both vertical and axial directions and interacting with Darcy flow. We first consider the problem for non-linear elastic body with damping coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cad692929302cbf6739d7c03c82d6d7
https://doi.org/10.3934/eect.2013.2.193
https://doi.org/10.3934/eect.2013.2.193
Publikováno v:
Journal of Mathematical Sciences. 184:399-430
We study the long term asymptotics of the diffusive capacity, the integral characteristic of a domain with respect to a nonlinear Forchheimer flow in porous media. Conditions on the boundary are given in terms of the total flux and constraints on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fafbff7b8852a79ec46c07ed4672eaa
https://doi.org/10.1007/s10958-012-0875-3
https://doi.org/10.1007/s10958-012-0875-3