Existence and uniqueness of a specific self-similar solution is established for the following
reaction-diffusion equation with Hardy singular potential∂ tu= Δ u m+| x|− 2 up,(x, t)∈ …

We mathematically analyze an initial-boundary value problem that involves a nonlinear
Volterra partial integro-differential equation derived using hybrid mixture theory and used to …

Existence and uniqueness of a specific self-similar solution is established for the following
reaction-diffusion equation with Hardy singular potential∂ tu= Δum+| x|− 2up,(x, t)∈ …

In this paper, we study the large time behavior of solutions to a class of fast diffusion
equations with nonlinear boundary sources on the exterior domain of the unit ball. We are …

We study the evolution of solutions to the initial-boundary-value problem\begin {alignat*}{3}
u_t&=(u^ m) _ {xx}+\lambda (u^ q) _x, &\quad x&> 0, &\quad t&\in (0, T),\\[2pt]-(u^ m) _x (0, t) …

This paper deals with the existence and uniqueness of the weak periodic solution for a
model of transport of a pollutant flow in a porous medium. Our model is described by means …

Considering the non-Newtonian fluid equation of incompressible porous media, using the
properties of operator semigroup and measure space and the principle of squeezed image …

De Pablo et al.[Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513-530] considered a
nonlinear boundary value problem for a porous medium equation with a convection term …

We study the existence and uniqueness of the periodic solution for a model which describes
the transport of a pollutant in a porous medium, with periodic boundary conditions. The …