Zobrazeno 1 - 10
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pro vyhledávání: '"Kieu, Thinh"'
Autor:
Hoang, Luan, Kieu, Thinh
We study the anisotropic Forchheimer-typed flows for compressible fluids in porous media. The first half of the paper is devoted to understanding the nonlinear structure of the anisotropic momentum equations. Unlike the isotropic flows, the important
Externí odkaz:
http://arxiv.org/abs/2306.05316
In this paper, we consider the complex flows when all three regimes pre-Darcy, Darcy and post-Darcy may be present in different portions of a same domain. We unify all three flow regimes under mathematics formulation. We describe the flow of a single
Externí odkaz:
http://arxiv.org/abs/2106.12369
We study the generalized Forchheimer flows of slightly compressible fluids in rotating porous media. In the problem's model, the varying density in the Coriolis force is fully accounted for without any simplifications. It results in a doubly nonlinea
Externí odkaz:
http://arxiv.org/abs/2106.11925
Publikováno v:
Qualitative Theory of Dynamical Systems, 2021
We study the precise asymptotic behavior of a non-trivial solution that converges to zero, as time tends to infinity, of dissipative systems of nonlinear ordinary differential equations. The nonlinear term of the equations may not possess a Taylor se
Externí odkaz:
http://arxiv.org/abs/2009.06769
We formulate the the generalized Forchheimer equations for the three-dimensional fluid flows in rotating porous media. By implicitly solving the momentum in terms of the pressure's gradient, we derive a degenerate parabolic equation for the density i
Externí odkaz:
http://arxiv.org/abs/1904.08636
Autor:
Kieu, Thinh
This paper is focused on the generalized Forchheimer flows of isentropic gas, described by a system of two nonlinear degenerating differential equations of first order. We prove the existence and uniqueness of the Dirichlet problem for stationary pro
Externí odkaz:
http://arxiv.org/abs/1903.00361
Autor:
Kieu, Thinh
This paper is focused on the generalized Forchheimer flows for slightly compressible fluids. We prove the existence and uniqueness of the differential system for stationary problem. The technique of semi-discretization in time is used to prove the ex
Externí odkaz:
http://arxiv.org/abs/1804.01409
Autor:
Kieu, Thinh
In this paper, we consider the generalized Forchheimer flows for slightly compressible fluids in porous media. Using Muskat's and Ward's general form of Forchheimer equations, we describe the flow of a single-phase fluid in $\mathbb R^d, d\ge 2$ by a
Externí odkaz:
http://arxiv.org/abs/1606.03379
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:
http://arxiv.org/abs/1603.09398
This paper is focused on the generalized Forchheimer flows of compressible fluids in porous media. The gravity effect and other general nonlinear forms of the source terms and boundary fluxes are integrated into the model. It covers isentropic gas fl
Externí odkaz:
http://arxiv.org/abs/1601.00703