Ryosuke Nakasato

collaborators

3 papers

math.AP2026

Asymptotic profiles for solutions to the incompressible Navier-Stokes equations in the critical Fourier-Herz spaces

Ikki Fukuda, Ryosuke Nakasato

We consider the large time asymptotic behavior of solutions to the initial value problem for the incompressible Navier-Stokes equations in the whole space $R^{d}$ ( $d \geq 2$ )…

math.AP2025

Analyticity and asymptotic behavior of solutions to the compressible Navier-Stokes-Korteweg equations with the zero sound speed in scaling critical spaces

Takayuki Kobayashi, Ryosuke Nakasato

We consider the initial-value problem in the $d$ -dimensional Euclidean space $R^{d}$ $(d \geq 3)$ for the compressible Navier-Stokes-Korteweg equations under the zero sound s…

math.AP2025

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces

Takayuki Kobayashi, Ryosuke Nakasato

We consider the initial value problem of the compressible Navier-Stokes-Korteweg equations in the whole space $R^{d}$ ( $d \geq 2$ ). The purposes of this paper are to obtain t…