Global solutions of aerotaxis equations
Volume 44 / 2017
Applicationes Mathematicae 44 (2017), 135-148
MSC: Primary 35B45; Secondary 92C45.
DOI: 10.4064/am2301-2-2017
Published online: 4 May 2017
Abstract
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.
