We carry out Lie group classification of a generalized coupled(2+1)-dimensional hyperbolic system.Several cases arise for which the Principal Lie algebra ex
We study the asymptotic behavior of the approximate control for a class of parabolic equations with periodic rapidly oscillating coefficients in composites
The mathematical theory of homogenization studies the asymptotic behavior of problems with small parameters describing for example,heterogeneities(oscillati
We investigate the exact traveling wave solutions of the fifth-order Kaup-Kuperschmidt equation.The bifurcation and exact solutions of a general first-order
Recently,Alex Barnett and I published a fast method,the 'weighted Neumann-to-Dirichlet method',for rapidly computing eigenfunctions and eigenvalues of the L
This minisymposium is devoted to homogenization and applications.This theory allows for efficient treatment of PDE's with multiple scales giving an equivale
We give a sharp lower bound to the fundamental frequency of a clamped vibrating plate under compression in the context of plates of different shapes of fixe
Many kinetic equations converge to macroscopic models when the mean free path ε-(?)0.Asymptotic preserving(AP)methods are designed to preserve the asymptot