Results 41 to 50 of about 35,041 (167)

Probabilistic approximation for a porous medium equation

Stochastic Processes and their Applications, 2000
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Non-Negative Solutions of Generalized Porous Medium Equations

Revista Matemática Iberoamericana, 1986
The authors study the non-negative solutions u of the evolution equation \(\partial u/\partial t= \Delta\phi(u)\), \(x\in R^ n ...
Dahlberg, Bjorn E. J., Kenig, Carlos E.
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Supercaloric functions for the porous medium equation [PDF]

Journal of Evolution Equations, 2018
In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not. This criterion and its consequences are discussed.
Kinnunen, Juha, Lehtelä, Pekka, Lindqvist, Peter, Parviainen, Mikko   +4 more
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Azimuthal Attenuation Elastic Impedance Inversion for Fluid and Fracture Characterization Based on Modified Linear-Slip Theory

Geofluids, 2019
The seismic attenuation should be considered while accounting for the effect of anisotropy on the seismic wave propagating through a saturated fractured porous medium.
Xinpeng Pan, Guangzhi Zhang, Yian Cui
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Effects of Nield number on nanofluid forced convection heat transfer in porous channel: Under local thermal nonequilibrium condition [PDF]

مجله مدل سازی در مهندسی, 2015
This paper is concerned with the effects of Nield number on heat transfer in a straight channel occupied by a porous medium. Investigation of force convective heat transfer of nanofluids in a porous channel has not been considered completely in the ...
طاهر ارمغانی, محمد جواد مغربی, محسن نظری   +2 more
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Explicit Barenblatt profiles for fractional porous medium equations [PDF]

Bulletin of the London Mathematical Society, 2014
Several one-parameter families of explicit self-similar solutions are constructed for the porous medium equations with fractional operators. The corresponding self-similar profiles, also called \emph{Barenblatt profiles}, have the same forms as those of the classic porous medium equations.
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Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation

AppliedMath
In this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo, Winter Sinkala, Lazarus Rundora   +2 more
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Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions

Complexity, 2020
In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
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C ?-Regularity for the porous medium equation [PDF]

Mathematische Zeitschrift, 1986
On etablit un resultat de regularite optimale pour l'equation d'un milieu poreux u t -(u m ) xx =0, x∈R, t>0, u(., 0)=u 0 pour m>1 et la donnee initiale u 0 positive continue a support compact ...
Höllig, K., Kreiss, H.-O.
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A consistent description of the kinetic processes of electrolyte ion transport in a dynamic  porous medium

Condensed Matter Physics
The consistent description of kinetic and hydrodynamic processes is applied to the study of ion transport processes in the ionic solution-porous medium system.
P. P. Kostrobij, B. M. Markovych, O. V. Viznovych, M. V. Tokarchuk   +3 more
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