Reaction terms avoiding aggregation in slow fluids

By Elio Espejo, Takashi Suzuki. 2015

83 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Molecular Biology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/add2e5d56e93aa4680a2d23000ec0d45268ff948

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

In Molecular Biology

In Public Health, Environmental and Occupational Health

Citations in the corpus

Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system (2016, background): “1) thereby covers the result of the recent modeling approaches for biomixing in [9], [18] and [19], but beyond this (1.”
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity (2018, background): “([50]), or on the construction of small-data solutions ([30], [4]), or also on systems involving logisitic growth restrictions as an additional dissipative mechanism ([13], [46]).”
A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization (2019, background): “1) obtained on neglecting the nonlinear convection term (u ·∇)u in the case ρ = 0 and f ≡ 0 ([11]).”
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system (2015, methodology): “In particular, the system (1.1) thereby includes the outcomes of the modeling approaches for biomixing recently presented by Espejo and Suzuki ([5]) on the basis of an original work by Kiselev and Ryzhik ([13], [14]).”
Stabilization in a two-dimensional chemotaxis-Navier–Stokes system (2013, unknown): “…terms, can be found in [6,32,36,1] and [15], for instance, and recently statements on global existence and boundedness have been derived in [7] and [30] for a two-dimensional chemotaxis–Stokes variant of (1.2) involving signal production by cells and a quadratic death term in the cell…”
How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system? (2015, background): “This may become substantially different in situations when different types of boundary conditions are considered, possibly accounting for signal influx, or when signal absorption is replaced with mechanisms of signal production by cells, as recently proposed and studied in contexts involving fluid i”