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Propagation property for anisotropic nonlinear diffusion equation with convection
(Journal of Mathematical Analysis and Applications, 2009)
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 ...
Local Instability of an Elliptical Flow Subjected to a Coriolis Force
(Journal of the Physical Society of Japan, 2009)
We make the local stability analysis of a rotating flow with circular or elliptically strained streamlines, whose rotation axis executes constant precessional motion about an axis perpendicular to itself, based on the ...
Propagation Property for Nonlinear Parabolic Equations of p-Laplacian-Type1
(Int. Journal of Math. Analysis, 2009)
We study propagation property for one-dimensional nonlinear diffusion equations with convection-absorption, including the prototype model ∂t(um) − ∂x(|∂xu|p−1∂xu) − μ|∂xu|q−1∂xu + λuk = 0, where m, p, q, k > 0, and ...