6533b86cfe1ef96bd12c839e

RESEARCH PRODUCT

Global solutions of aerotaxis equations

Piotr Knosalla

subject

010101 applied mathematicsPhysicsApplied Mathematics010102 general mathematics0101 mathematics01 natural sciences

description

We study the existence of the global solutions in a model de- scribing the evolution of density of bacteria and oxygen dissolved in water lling 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 L1 boundedness of local solutions.

https://doi.org/10.4064/am2301-2-2017