activity
20142026
most citedOn the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces

65 citations · 101 across the 7 of their papers we have counts for

collaborators

7 papers

eess.SY2026

Periodic Event-Triggered Explicit Reference Governor for Constrained Attitude Control on SO(3)

Satoshi Nakano, Masahiro Suzuki, Misa Ohashi +2

This letter addresses the constrained attitude control problem for rigid bodies directly on the special orthogonal group SO(3), avoiding singularities associated with parameterizat…

math.AP2025

Asymptotically self-similar global solutions for Hardy-Hénon parabolic equations

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi +1

We construct asymptotically self-similar global solutions to the Hardy-Hénon parabolic equation , , for a large cl…

math.AP2023

Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi +1

We study the problems of uniqueness for Hardy-Hénon parabolic equations, which are semilinear heat equations with the singular potential (Hardy type) or the increasing potential (H…

math.AP2021★ 1 cited

Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

The Cauchy problem for the Hardy-Hénon parabolic equation is studied in the critical and subcritical regime in weighted Lebesgue spaces on the Euclidean space . Well-…

math.AP2020★ 5 cited

Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

We study the Cauchy problem for the semilinear heat equation with the singular potential, called the Hardy-Sobolev parabolic equation, in the energy space. The aim of this paper is…

math.AP2018★ 30 cited

Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces

Noboru Chikami, Takayuki Kobayashi

We consider the compressible Navier-Stokes-Korteweg system describing the dynamics of a liquid-vapor mixture with diffuse interphase. The global solutions are established under lin…

math.AP2014★ 65 cited

On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces

Noboru Chikami, Raphaël Danchin

We are concerned with the Cauchy problem of the full compressible Navier-Stokes equations satisfied by viscous and heat conducting fluids in We focus on the so-call…