3 papers
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 (). The purposes of this paper are to obtain t…
math.AP2025
Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain
Yusuke Ishigaki, Takayuki Kobayashi
We study the large time behavior of solutions to the system of equations describing motion of compressible viscoelastic fluids. We focus on the linearized system around a motionles…
math.AP2019
Global existence and time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system under critical condition
Kobayashi Takayuki, Kazuyuki Tsuda
Global existence of solutions to the compressible Navier-Stokes-Korteweg system around a constant state is studied. This system describes liquid-vapor two phase flow with phase tra…