Steady state solutions of a bi-stable quasi-linear equation with saturating flux
M. BURNS, Michael Grinfeld · European Journal of Applied Mathematics · 2011
In this paper, we consider the bi-stable equation proposed by Rosenau to replace the Allen–Cahn equation in the case of large gradients. We discuss the bifurcation problem for stationary solutions of this equation on an interval as the diffusion coefficient and the length of the interval are varied, concentrating on classical solutions.