Stationary solutions of aerotaxis equations

• Autorzy: Piotr Knosalla , Tadeusz Nadzieja
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J66: Nonlinear boundary value problems for nonlinear elliptic equations
• 92C45: Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 2-3
• Strony: 125-135

Daty

wydano

2015

Twórcy

autor

Piotr Knosalla

• Institute of Mathematics and Informatics, Opole University, Oleska 48, 45-052 Opole, Poland

autor

Tadeusz Nadzieja

• Institute of Mathematics and Informatics, Opole University, Oleska 48, 45-052 Opole, Poland

Identyfikatory

DOI

10.4064/am42-2-1