Geodesic
Global solutions of aerotaxis equations
Piotr Knosalla1
1 Institute of Mathematics and Informatics Opole University Oleska 48 45-052 Opole, Poland
Applicationes Mathematicae, Tome 44 (2017) no. 1, pp. 135-148 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the existence of the global solutions in a model describing the evolution of density of bacteria and oxygen dissolved in water filling a capillary. In the proof of local existence of classical solutions we use Amann theory. The Moser–Alikakos technique is the main tool for the proof of $L^\infty $ boundedness of local solutions.
DOI : 10.4064/am2301-2-2017
Mots-clés : study existence global solutions model describing evolution density bacteria oxygen dissolved water filling capillary proof local existence classical solutions amann theory moser alikakos technique main tool proof infty boundedness local solutions

Piotr Knosalla 1

1 Institute of Mathematics and Informatics Opole University Oleska 48 45-052 Opole, Poland 
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Piotr Knosalla. Global solutions of aerotaxis equations. Applicationes Mathematicae, Tome 44 (2017) no. 1, pp. 135-148. doi: 10.4064/am2301-2-2017

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