2026-05-02T04:33:53Z https://meral.edu.mm/oai

oai:meral.edu.mm:recid/658 2021-12-13T02:46:59Z 1582963739756:1582967046255 user-um

Propagation property for anisotropic nonlinear diffusion equation with convection Than Sint Khin Ning Su We consider propagation property for anisotropic diffusion equation with convection in 2 dimension, ∂t um − ∂x1 |∂x1u|p1−1∂x1u − ∂x2 |∂x2u|p2−1∂x2u + uα−1∂x1u = 0, where p1, p2,m,α > 0. Among the results, we show that perturbation for the nonnegative solutions propagates with infinite speed in x1-direction and with finite speed in x2- direction if 0 < α < m < p2. We also show that the anisotropic propagation may appear when the convection term is weak, backward, or even missing, if 0 < p1 m < p2, p1 1. 2009 http://hdl.handle.net/20.500.12678/0000000658 https://meral.edu.mm/records/658