Coupled diffusion systems with localized nonlinear reactions (Q5948841)
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scientific article; zbMATH DE number 1672080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coupled diffusion systems with localized nonlinear reactions |
scientific article; zbMATH DE number 1672080 |
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Coupled diffusion systems with localized nonlinear reactions (English)
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12 November 2001
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localized source
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blowup behavior
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boundary layer
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0.93833756
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0.9355842
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0.9321755
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0.92562044
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The authors deal with the blowup rate and profile near the blowup time for the system of diffusion equations with localized reaction NEWLINE\[NEWLINE\partial_t u_i=\Delta u_i+u_{i+1}^{p_i}(x_0,t)\quad x\in \Omega,\;t>0,\;i=1,\ldots,k,\quad u_{k+1}:=u_1,NEWLINE\]NEWLINE NEWLINE\[NEWLINEu_i=0,\quad x\in\partial\Omega,\;t>0,\qquad u_i(x,0)=u_{i,0}(x),\quad x\in \Omega.NEWLINE\]
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