Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
Marek Fila
Comenius University, Bratislava, Slovak RepublicMichael Winkler
Universität Paderborn, Germany
![Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-10-issue-1.png&w=3840&q=90)
Abstract
We consider a reaction-diffusion-convection equation on the halfline 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 .
Cite this article
Marek Fila, Michael Winkler, Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed. J. Eur. Math. Soc. 10 (2008), no. 1, pp. 105–132
DOI 10.4171/JEMS/105