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math.AP2007★ 15 cited
On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions
E. C. M. Crooks, E. N. Dancer, D. Hilhorst
We consider a two-component competition-diffusion system with equal diffusion coefficients and inhomogeneous Dirichlet boundary conditions. When the interspecific competition param…
math.AP2000
Stability of travelling-wave solutions for reaction-diffusion-convection systems
E. C. M. Crooks
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…