Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
Marek Fila, Michael Winkler (2008)
Journal of the European Mathematical Society
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We consider a reaction-diffusion-convection equation on the halfline (0,1) with the zero Dirichlet boundary condition at . We find a positive selfsimilar solution which blows up in a finite time at while remains bounded for .