Yan Guo

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math.AP2026

Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation

Xuwen Chen, Yan Guo, Shunlin Shen +1

We investigate the ill-posedness mechanism of the hard-sphere Boltzmann equation in $H_{x}^{s}$ Sobolev space. Via a direct construction, we prove a strong-weak type ill-posedness…

math.AP2025

Strong diffusive limit of the Boltzmann equation with Maxwell boundary condition

Yan Guo, Junhwa Jung, Fujun Zhou

While weak diffusive limit from the Boltzmann equation to the incompressible Navier-Stokes-Fourier system was established for the Maxwell boundary condition within renormalized sol…

Sharp Hxs​ Ill-posedness of the Hard-sphere Boltzmann Equation

Strong diffusive limit of the Boltzmann equation with Maxwell boundary condition

Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation