8 citations · 8 across the 4 of their papers we have counts for
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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}…
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…
A gradient estimate for solutions to parabolic equations with discontinuous coefficients
Jishan Fan, Kyoungsun Kim, Sei Nagayasu +1
Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively.…