The classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coe cients is considered. As the period goes to zero, an asymptotic analysis of the corresponding sequence ...

In this paper, we study the travelling wave reductions for certain (2 + 1)- and (3 + 1)-dimensional physically important nonlinear evolutionary equations by using the recently proposed Homogenous Balance Method (HBM). ...

In this paper, we study the travelling wave reductions for certain (2 + 1)- and (3 + 1)-dimensional physically important nonlinear evolutionary equations by using the recently proposed Homogenous Balance Method (HBM). ...

We consider a second-order elliptic equation in a bounded periodic heterogeneous medium and study the asymptotic behavior of its spectrum, as the structure period goes to zero. We use a new method of Bloch wave homogenization ...

The objective is to study the microstructure, rheology, and quiescent stability of oil-in-water emulsions prepared with defatted soybean flour dispersions, analyzing the effects of calcium concentration and homogenization ...

In this paper, the classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coe cients is considered. Using Bloch wave decomposition, a new proof of convergence is ...

This paper presents two methods for the numerical solution of the classical homogenization problem of elliptic operators with periodically oscillating coefficients. The numerical solution of such problems is difficult ...