Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth. (Q2426197)
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| Language | Label | Description | Also known as |
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| English | Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth. |
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Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth. (English)
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21 April 2008
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A parabolic system modeling chemotactic aggregation of myxobacteria proposed by \textit{H. G. Othmer} and \textit{A. Stevens} [SIAM J. Appl. Math. 57, No. 4, 1044--1081 (1997; Zbl 0990.35128)] is studied. The system is reduced to a hyperbolic equation with strong dissipation. An energy estimate and conditions for blow up of the solution are found.
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parabolic ODE system
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hyperbolic equation
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strong dissipation
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energy estimate
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blow up
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