Results 31 to 40 of about 3,628,509 (295)
Porous Medium Equation with Nonlocal Pressure [PDF]
, 2018 We provide a rather complete description of the results obtained so far on the nonlinear diffusion equation $u_t=\nabla\cdot (u^{m-1}\nabla (-Δ)^{-s}u)$, which describes a flow through a porous medium driven by a nonlocal pressure. We consider constant parameters $m>1$ and $02$, and the asymptotic behavior of solutions when $N=1$.
Stan, Diana +2 more
openaire +2 more sources
Well-posedness of a fractional porous medium equation on an evolving surface [PDF]
, 2016 We investigate the existence, uniqueness, and L1-contractivity of weak solutions to a porous medium equation with fractional diffusion on an evolving hypersurface. To settle the existence, we reformulate the equation as a local problem on a semi-infinite
Alphonse, Amal, Elliott, Charles M.
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ROTARY VIBRATIONS OF A POROUS SPHERICAL SHELL WITH AN IMPERMEABLE CORE IN A VISCOUS LIQUID
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The investigation of the viscous liquid flows in contact with the oscillating submerged porous bodies of various configurations is of a considerable interest for hydrodynamics in the connection with a great theoretical importance and ...
O. A. Bazarkina, N. G. Taktarov
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Effect of soil consolidation on the fractality of the filtration law
International Journal of Applied Mechanics and Engineering, 2023 In this paper, the effect of consolidation of the soil structure on the fractality of the fluid flow was evaluated. The equation of fractal law of flow in the porous medium under consolidation of two-phase, fully fluid-saturated soil was determined ...
Geylani Panahov +2 more
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On a fractional thin film equation
Advances in Nonlinear Analysis, 2020 This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
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Revue des Énergies Renouvelables, 2022 The three-dimensional numerical simulation of laminar mixed convection heat transfer with and without porous medium in a cylindrical duct was carried out in this study. The cylinder is divided into three parts. The first and the third parts are adiabatic,
Amira Houichi +2 more
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Coning during withdrawal from two fluids of different density in a porous medium [PDF]
, 2009 The steady response of the interface between two fluids with different density in a porous medium is considered during extraction through a line sink. Supercritical withdrawal, or coning as it is often called, in which both fluids are being withdrawn, is
Hocking, GC +3 more
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Optimal regularity for the porous medium equation
, 2021 Gess B. Optimal regularity for the porous medium equation. Journal of the European Mathematical Society. 2021;23(2):425–465.We prove optimal regularity for solutions to porous media equations in Sobolev spaces, based on velocity averaging techniques.
Gess, B., Gess, Benjamin
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Moving mesh methods for solving parabolic partial differential equations [PDF]
, 2010 In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements.
Marlow, Robert
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Numerical Method for a Filtration Model Involving a Nonlinear Partial Integro-Differential Equation
Mathematics, 2022 In this paper, we propose an efficient numerical method for solving an initial boundary value problem for a coupled system of equations consisting of a nonlinear parabolic partial integro-differential equation and an elliptic equation with a nonlinear ...
Dossan Baigereyev +4 more
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