Heteroclinic Travelling Waves of Gradient Diffusion Systems

N. I. Katzourakis, N. D. Alikakos

We establish existence of travelling waves to the gradient system $u_t=u_{zz}-\nabla W(u)$ connecting two minima of $W$ when $u : \R \times (0,\infty) \larrow \R^N$, that is, w…