Taiki Takeuchi

collaborators

2 papers

math.FA2026

An optimal time-singularity of the estimate for the heat semigroup related to the critical Sobolev embedding

Yi C. Huang, Tohru Ozawa, Chenmin Sun +1

We give a certain $L^{\infty} (R^{2})$ -estimate for the heat semigroup ${e^{t Δ}}_{t \geq 0}$ that is closely related to the fact $H^1(\mathbb{R}^2) \not\subset L^{\infty}(\m…

math.AP2025

Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions

Taiki Takeuchi, Keiichi Watanabe

In this paper, we consider the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions in a bounded smooth (and not necessarily convex) domain $Ω\subset \mathbb{R}^…