30 citations · 30 across the 4 of their papers we have counts for
4 papers
The global well-posedness of the compressible fluid model of Korteweg type for the critical case
Takayuki Kobayashi, Miho Murata
In this paper, we consider the compressible fluid model of Korteweg type in a critical case where the derivative of pressure equals to at the given constant state. It is shown…
Asymptotic profile for diffusion wave terms of the compressible Navier-Stokes-Korteweg system
Takayuki Kobayashi, Masashi Misawa, Kazuyuki Tsuda
Asymptotic profile for diffusion wave terms of solutions to the compressible Navier-Stokes-Korteweg system is studied on . The diffusion wave with time decay estimate is studi…
Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system
Takayuki KOBAYASHI, Kazuyuki TSUDA
Time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system is studied. Concerning the linearized problem, the decay estimate with diffusion wave property fo…
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…