Geodesic
Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 105-132 Cet article a éte moissonné depuis la source EMS Press

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We consider a reaction-diffusion-convection equation on the halfline (0,∞) with the zero Dirichlet boundary condition at x=0. We find a positive selfsimilar solution u which blows up in a finite time T at x=0 while u(x,T) remains bounded for x>0.
DOI : 10.4171/jems/105
Classification : 35-XX, 34-XX, 00-XX
Keywords: Reaction-diffusion-convection equation, selfsimilar solution, blow-up on the boundary 
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     author = {Marek Fila and Michael Winkler},
     title = {Single-point blow-up on the boundary where the zero {Dirichlet} boundary condition is imposed},
     journal = {Journal of the European Mathematical Society},
     pages = {105--132},
     year = {2008},
     volume = {10},
     number = {1},
     doi = {10.4171/jems/105},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/105/}
}
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Marek Fila; Michael Winkler. Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed. Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 105-132. doi: 10.4171/jems/105

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