Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating
We consider a non-local initial boundary-value problem for the equation $$ u_t=Delta u+lambda f(u)/Big(int_{Omega}f(u),dxBig)^2 ,quad x in Omega subset mathbb{R}^2 ,,;t>0, $$ where $u$ represents a temperature and $f$ is a positive and decreasing function. It is shown that for the radially symmet...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/11/abstr.html |