Establishes Liouville-type theorems for stationary fractional Navier-Stokes in R^n under integrability and large-scale Morrey energy bounds, with corollary for finite fractional energy when n/3 ≤ α < (n+2)/3.
Ignacio Tello,On a parabolic-elliptic system with chemotaxis and logistic type growth, J
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For the given chemotaxis model, uniform persistence holds when m ≥ 1; the positive equilibrium is linearly stable for χ0 below a parameter-dependent threshold χ*(u*) and unstable above it, with exponential convergence under stated conditions.
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Liouville-type theorems for the stationary fractional Navier-Stokes equations in $\mathbb{R}^n$
Establishes Liouville-type theorems for stationary fractional Navier-Stokes in R^n under integrability and large-scale Morrey energy bounds, with corollary for finite fractional energy when n/3 ≤ α < (n+2)/3.
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Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
For the given chemotaxis model, uniform persistence holds when m ≥ 1; the positive equilibrium is linearly stable for χ0 below a parameter-dependent threshold χ*(u*) and unstable above it, with exponential convergence under stated conditions.