Stationary solutions of aerotaxis equations

Piotr Knosalla, and Tadeusz Nadzieja. "Stationary solutions of aerotaxis equations." Applicationes Mathematicae 42.2-3 (2015): 125-135. <http://eudml.org/doc/280064>.

@article{PiotrKnosalla2015,
abstract = {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.},
author = {Piotr Knosalla, Tadeusz Nadzieja},
journal = {Applicationes Mathematicae},
keywords = {aerotaxis; stationary solutions; nonlocal problems},
language = {eng},
number = {2-3},
pages = {125-135},
title = {Stationary solutions of aerotaxis equations},
url = {http://eudml.org/doc/280064},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Piotr Knosalla
AU - Tadeusz Nadzieja
TI - Stationary solutions of aerotaxis equations
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 2-3
SP - 125
EP - 135
AB - 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.
LA - eng
KW - aerotaxis; stationary solutions; nonlocal problems
UR - http://eudml.org/doc/280064
ER -