Modeling of dispersion of air pollutants in the atmosphere is one of the most important and
challenging scientific problems. There are several natural and anthropogenic events where …

While biological crystallization processes have been studied on the microscale extensively,
there is a general lack of models addressing the mesoscale aspects of such phenomena. In …

Recently, the observation of nonmonotonicity of traveling wave solutions for saturation
profiles during constant‐flux infiltration experiments has highlighted the shortcomings of the …

We study the model of Keller & Rubinow (Keller & Rubinow 1981 J. Chem. Phys 74, 5000–
5007.(doi: 10.1063/1.441752)) describing the formation of Liesegang rings due to Ostwald's …

In this paper, we present an application of the moving mesh method for approximating
numerical solutions of the two-phase flow model in porous media. The numerical schemes …

Motivated by observations of saturation overshoot, this article investigates generic classes of
smooth travelling wave solutions of a system of two coupled nonlinear parabolic partial …

This article discusses an adaptive mesh method applied to a bifurcation problem in a non-
equilibrium Richard's equation from hydrology. The extension of this PDE model for the …

In this paper, a higher order nonuniform grid strategy is developed for solving singularly
perturbed convection-diffusion-reaction problems with boundary layers. A new nonuniform …

In a previous paper, we analysed the Keller–Rubinow formulation of Ostwald's
supersaturation theory for the formation of Liesegang rings or Liesegang bands, and found …

In this paper, we use the finite volume method, the adaptive mesh method by Tang, Tang
and by van Dam to solve one Burger's problem with a diffusion term, the problem of two …