Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion

Existence of travelling wave solutions f

Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition

✍ Mads Kyed 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB 👁 1 views

## Abstract The existence of travelling wave solutions for the heat equation ∂~__t__~ __u__ –Δ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (∂__u__ /∂__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin