Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5496920 | Physics Letters A | 2017 | 8 Pages |
Abstract
We study formation of patterns in reaction processes with a logarithmic-diffusion: ut=(lnâ¡u)xx+R(u). For the generic R=u(1âu) case the problem of travelling waves, TW, is mapped into a linear one with the propagation speed λ selected by a boundary condition, b.c. at the far away upstream. Dirichlet b.c. relaxes the process into a steady state, whereas convective b.c. ux+hu=0, leads the system into a heating (cooling) TW for h<1 (1
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Philip Rosenau,