Sentence examples for medium equations with from inspiring English sources

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

We consider the initial Dirichlet boundary value problem for a class of porous medium equations with nonlocal source and strong absorption terms (1).

In addition, for the system of porous medium equations with nonlinear memory terms and a homogeneous Dirichlet boundary condition, one can refer for example to [8, 9].

Porous medium equations with local sources or with nonlocal sources subjected to nonlocal boundary conditions were also studied (see [9 12]).

Moreover, some of the techniques were also applied to the porous medium equation with reaction.

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

In this article, we investigate the Dirichlet problem for a porous medium equation with a more complicated source term.

Wang et al. [10] studied the porous medium equation with terms of power form u t = △ u m + u p, ( x, t ) ∈ Ω × ( 0, + ∞ ).

Li and Wu [12] considered the problem of the porous medium equation with a source term u t = Δ u m + λ u p, x ∈ Ω, t > 0, (4).

This paper concerns the regularity of the weak solutions of the Cauchy problem to a fractional porous medium equation with a forcing term.

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.