Results 21 to 30 of about 221,531 (271)
Modelling and simulation of waves in three-layer porous media [PDF]
Nonlinear Processes in Geophysics, 2013 The propagation of gravity waves in an emerged three-layer porous medium is considered in this paper. Based on the assumption that the flow can be described by Darcy's Law, an asymptotic theory is developed for small-amplitude long waves. This leads to a
S. R. Pudjaprasetya
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A Radó theorem for the porous medium equation [PDF]
Boletín de la Sociedad Matemática Mexicana, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitry Fedchenko, Nikolai Tarkhanov
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On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
Entropy, 2019 We derive new kinetic and a porous medium equations from the nonlinear Schrödinger equation with random potentials. The kinetic equation has a very similar form compared to the four-wave turbulence kinetic equation in the wave turbulence theory ...
Sergey Nazarenko +2 more
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Analysis of the Brinkman equation as a model for flow in porous media [PDF]
, 1987 The fundamental solution or Green's function for flow in porous media is determined using Stokesian dynamics, a molecular-dynamics-like simulation method capable of describing the motions and forces of hydrodynamically interacting particles in Stokes ...
Brady, J. F., Durlofsky, L.
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The difference between semi-continuum model and Richards’ equation for unsaturated porous media flow
Scientific Reports, 2022 Semi-continuum modelling of unsaturated porous media flow is based on representing the porous medium as a grid of non-infinitesimal blocks that retain the character of a porous medium. This approach is similar to the hybrid/multiscale modelling.
Rostislav Vodák +3 more
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A Random Change of Variables and Applications to the Stochastic Porous Medium Equation with Multiplicative Time Noise [PDF]
, 2007 A change of variables is introduced to reduce certain nonlinear stochastic evolution equations with multiplicative noise to the corresponding deterministic equation.
Lototsky, S. V.
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The Toda Flow as a Porous Medium Equation
Communications in Mathematical Physics, 2023 We describe the geometry of the incompressible porous medium (IPM) equation: we prove that it is a gradient dynamical system on the group of area-preserving diffeomorphisms and has a special double-bracket form. Furthermore, we show its similarities and differences with the dispersionless Toda system.
Boris Khesin, Klas Modin
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Logarithmic corrections in Fisher–KPP type porous medium equations [PDF]
Journal de Mathématiques Pures et Appliquées, 2020 We consider the large time behaviour of solutions to the porous medium equation with a Fisher-KPP type reaction term and nonnegative, compactly supported initial function in $L^\infty(\mathbb{R}^N)\setminus\{0\}$: \begin{equation} \label{eq:abstract} \tag{$\star$}u_t= u^m+u-u^2\quad\text{in }Q:=\mathbb{R}^N\times\mathbb{R}_+,\qquad u(\cdot,0)=u_0\quad\
Du, Yihong +2 more
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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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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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