Existence of global solutions for systems of reaction-diffusion equations on unbounded domains
We consider, an initial-value problem for the thermal-diffusive combustion system $$displaylines{ u_t=aDelta u-uh(v) cr v_t=bDelta u+dDelta v+uh(v), }$$ where $a>0$, $d>0$, $beq 0$, $xin mathbb{R}^n$, $ngeq 1$, with $h(v)=v^m$, $m$ is an even nonnegative integer, and the initial data $u_0$, $v...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/74/abstr.html |