Stability of travelling-wave solutions for reaction-diffusion-convection systems

• Published in: arXiv.org
• Main Author: Crooks, E C M
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 19.12.2000
• Subjects: Asymptotic properties; Convection; Mathematical analysis; Matrix methods

We are concerned with the asymptotic behaviour of classical solutions of systems of the form u_t = Au_xx + f(u, u_x), x in R, t>0, u(x,t) a vector in RN, with u(x,0)= U(x), where A is a positive-definite diagonal matrix and f is a 'bistable' nonlinearity satisfying conditions which guar...