Sentence examples for medium equations from inspiring English sources

The aim of this paper is to design a rescaling algorithm for the numerical solution to the system of two porous medium equations defined on two different components of the real line, that are connected by the nonlinear contact condition.

In particular, our general result can be used to deal with a large class of quasi-linear stochastic partial differential equations, such as stochastic porous medium equations and stochastic reaction diffusion equations with polynomial growth zero order term and p-Laplacian second order term.

In this paper, we are going to show the long time existence of the smooth solution for the porous medium equations in a smooth bounded domain:(0.1){ut="△umin Ω×[0,∞),u x,0)="u0>0in Ω,u x,t)= 0for x∈∂Ω where m>1 is the permeability.

Equations 3/4, low ; Equations 3/4, medium ; Equations 3/4, high ; DFSIM, low ; DFSIM, medium ; DFSIM, high.

Porous medium equations (m > 1) with or without local sources have been studied by many authors [4 6].

Thereafter, they obtained the same results for a class of nonlocal porous medium equations with strong absorption, see [10].

Furthermore, as the bump width vanishes, this gradient flow solves a viscous porous medium equation.

A stochastic version of the porous medium equation with coloured noise is studied.

The degenerate parabolic Generalized Porous Medium Equation (GPME) poses numerical challenges due to self-sharpening and its sharp corner solutions.

An adaptive moving mesh finite element method is studied for the numerical solution of the porous medium equation with and without variable exponents and absorption.

We illustrate our approach by proving the convergence of a two-point flux Finite Volume in space and BDF2 in time approximation of the porous medium equation.