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Travelling waves in an initial-boundary value problem

  • E. J. M. Veling (a1)

Synopsis

In this paper we consider the initial-boundary value problem for the semihnear diffusion equation ul=uxx+f(u) on the half-line x>0, when for 0<a<1 f(0)=f(a)=f(1)=0 and f(u)<0 on (0, a), f(u)>0 on (a, 1). For a wide class of initial and boundary values a uniformly valid asymptotic expression is given to which the solution converges exponentially. This expression is composed of a travelling wave and a solution of the stationary problem.

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Travelling waves in an initial-boundary value problem

  • E. J. M. Veling (a1)

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