4 papers · 1 filter
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 -dimensional Euclidean space for the compressible Navier-Stokes-Korteweg equations under the zero sound s…
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…
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…
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…