3 papers
math.AP2026
Asymptotic behavior of solutions to elliptic equations in 2D exterior domains
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
The asymptotic behavior of solutions to the second order elliptic equations in exterior domains is studied. In particular, under the assumption that the solution belongs to the Lor…
math.AP2026
Besov space approach to the Navier-Stokes equations with the Neumann boundary condition in bounded domains
Tsukasa Iwabuchi, Hideo Kozono
Based on the analysis by Iwabuchi-Matsuyama-Taniguchi (2019), we first introduce our framework of Besov spaces on the bounded domain wit…
math.AP2025
Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
Matthias Hieber, Hideo Kozono, Sylvie Monniaux +1
Consider the coupled Keller-Segel-Navier-Stokes or the chemotaxis-consumption-Navier-Stokes system in bounded Lipschitz domains for general coupling terms which, e.g., include buoy…