A diffusion problem with spherical symmetry: Temperature distribution for different initial conditions

Quenching Time for a Nonlocal Diffusion Problem with Large Initial Data

quenching time for a nonlocal diffusion problem with large initial data

Spherical symmetric diffusion problem

We introduce a general and versatile MS Windows application for solving the spherically symmetric diffusion problem, involving up to two coupled spherically symmetric Smoluchowski equations. The application is based on a modular, configurable, user-friendly graphical interface, in which input parameters are introduced through a graphical representation of the system of partial differential equa...

Reaction-diffusion fronts with inhomogeneous initial conditions

Properties of reaction zones resulting from A + B → C type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic inhomogeneity in the distribution of the B species. For simple two-dimensional geometries, exact analytical results are presented for the time-evolution of the ...

Initial Boundary Value Problem for 2d Boussinesq Equations with Temperature-dependent Heat Diffusion

We consider the initial-boundary value problem of two-dimensional inviscid heat conductive Boussinesq equations with nonlinear heat diffusion over a bounded domain with smooth boundary. Under slip boundary condition of velocity and the homogeneous Dirichlet boundary condition for temperature, we show that there exists a unique global smooth solution to the initial-boundary value problem for H i...