Geodesic
Stationary solutions of aerotaxis equations
Piotr Knosalla 1   ; Tadeusz Nadzieja 1
1 Institute of Mathematics and Informatics Opole University Oleska 48 45-052 Opole, Poland
Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 125-135 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the existence and uniqueness of the steady state in a model describing the evolution of density of bacteria and oxygen dissolved in water filling a capillary. The steady state is a stationary solution of a nonlinear and nonlocal problem which depends on the energy function and contains two parameters: the total mass of the colony of bacteria and the concentration (or flux) of oxygen at the end of the capillary. The existence and uniqueness of solutions depend on relations between these parameters and the maximum of the energy function.
DOI : 10.4064/am42-2-1
Keywords: study existence uniqueness steady state model describing evolution density bacteria oxygen dissolved water filling capillary steady state stationary solution nonlinear nonlocal problem which depends energy function contains parameters total mass colony bacteria concentration flux oxygen end capillary existence uniqueness solutions depend relations between these parameters maximum energy function

Piotr Knosalla  1   ; Tadeusz Nadzieja  1

1 Institute of Mathematics and Informatics Opole University Oleska 48 45-052 Opole, Poland 
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Piotr Knosalla; Tadeusz Nadzieja. Stationary solutions of aerotaxis equations. Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 125-135. doi: 10.4064/am42-2-1

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