33 citations · 45 across the 10 of their papers we have counts for
10 papers
Conditonal Lipschitz stability for the Inverse Problem of the 2D Navier-Stokes System in a Bounded Domain
Jishan Fan, Yu Jiang, Sei Nagayasu +1
This paper concerns an inverse problem for the initial boundary value problem of the two-dimensional Navier-Stokes system defined in a bounded simply connected domain with slip, vo…
Short-time approximate solutions of an equation modeling a camphor motion
Jishan Fan, Masaharu Nagayama, Gen Nakamura +1
As a profound example of spontaneous motion, we analyze the motion of a camphor particle on a water surface. The motion is modeled as an initial-boundary value problem for a couple…
Global strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain
Jishan Fan, Fucai Li
In this short paper we establish the global well-posedness of strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain $Ω\subset \mathbb{R}…
A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity
Jishan Fan, Fucai Li, Gen Nakamura
We establish a regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity and vacuum in a bounded domain.
Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain
Jishan Fan, Wenjun Sun, Junping Yin
In this paper, we prove some blow-up criteria for the 3D Boussinesq system with zero heat conductivity and MHD system and Landau-Lifshitz equations in a bounded domain.
Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain
Jishan Fan, Fucai Li, Gen Nakamura
In this paper we establish the uniform estimates of strong solutions with respect to the Mach number and the dielectric constant to the full compressible Navier-Stokes-Maxwell syst…