On the existence and uniqueness of solution to a stochastic chemotaxis-Navier-Stokes model
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in: Stochastic processes and their applications, Jahrgang 170.2024, Nr. April, 104274, 15.12.2023.
Publikationen: Beitrag in Fachzeitschrift › Artikel › Forschung › (peer-reviewed)
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TY - JOUR
T1 - On the existence and uniqueness of solution to a stochastic chemotaxis-Navier-Stokes model
AU - Hausenblas, Erika
AU - Jidjou Moghomye, Boris
AU - Razafimandimby, Paul André
N1 - Publisher Copyright: © 2023 Elsevier B.V.
PY - 2023/12/15
Y1 - 2023/12/15
N2 - In this article, we study a mathematical system modelling the dynamic of the collective behaviour of oxygen-driven swimming bacteria in an aquatic fluid flowing in a two dimensional bounded domain under stochastic perturbation. This model can be seen as a stochastic version of Chemotaxis–Navier–Stokes model. We prove the existence of a unique (probabilistic) strong solution. In addition, we establish some properties of the strong solution. More precisely, we prove that the unique solution is positive and satisfies the mass conservation property and an energy inequality.
AB - In this article, we study a mathematical system modelling the dynamic of the collective behaviour of oxygen-driven swimming bacteria in an aquatic fluid flowing in a two dimensional bounded domain under stochastic perturbation. This model can be seen as a stochastic version of Chemotaxis–Navier–Stokes model. We prove the existence of a unique (probabilistic) strong solution. In addition, we establish some properties of the strong solution. More precisely, we prove that the unique solution is positive and satisfies the mass conservation property and an energy inequality.
KW - Navier–Stokes system
KW - Chemotaxis
KW - Stochastic
KW - Probabilistic weak solution
KW - Strong solution
UR - http://dx.doi.org/10.1016/j.spa.2023.104274
UR - http://www.scopus.com/inward/record.url?scp=85180375318&partnerID=8YFLogxK
U2 - 10.1016/j.spa.2023.104274
DO - 10.1016/j.spa.2023.104274
M3 - Article
VL - 170.2024
JO - Stochastic processes and their applications
JF - Stochastic processes and their applications
SN - 0304-4149
IS - April
M1 - 104274
ER -