Perturbation of the laminar boundary layer by free-stream travelling waves was shown to produce highly-localized skin friction modification via steady streaming. The forced flow calculated numerically and studied as a function phase speed, frequency amplitude perturbations. Upstream-travelling always produced negative streaming, whereas downstream-travelling positive or streaming that varied wi...

In this paper we study the existence and qualitative properties of travelling waves associated to a nonlinear flux limited partial differential equation coupled to a Fisher–Kolmogorov–Petrovskii–Piskunov type reaction term. We prove the existence and uniqueness of finite speed moving fronts of C classical regularity, but also the existence of discontinuous entropy travelling wave solutions.

We consider a nonlinear system of parabolic equations describing the transport of contaminant in porous media. For this system travelling wave solutions are known to exist. We prove existence and uniqueness of general solutions of the system and convergence to travelling waves.

A travelling waves analysis for a polyatomic gas with n internal energy storage modes is performed. In both the frozen ow and the equilibrium limit the existence and the qualitative behaviour of travelling waves are investigated. Methods from geometric singular perturbation theory are used to study these limits.

This paper is concerned with instability of periodic travelling wave solutions of the modified Boussinesq equation. Periodic travelling wave solutions with a fixed fundamental period Lwill be constructed by using Jacobi’s elliptic functions. It will be shown that these solutions, called dnoidal waves, are nonlinearly unstable in the energy space for a range of their speeds of propagation and pe...