Sehyun Ji

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math.AP2024

Dissipation estimates of the Fisher information for the Landau equation

Sehyun Ji

We establish an a priori estimate for the dissipation of the Fisher information for the space-homogeneous Landau equation with very soft potentials. This work is motivated by the r…

math.AP2024

Bounds for the optimal constant of the Bakry-Émery $Γ_{2}$ criterion inequality on $R P^{d - 1}$

Sehyun Ji

We prove upper and lower bounds on the optimal constant $Λ_{d}$ of the Bakry-Émery $Γ_{2}$ criterion for positive symmetric functions on the unit sphere $S^{d - 1}$ , which also can be id…

math.AP2024

Global Existence for an Isotropic Landau Model

David Bowman, Sehyun Ji

Following the recent ideas of Guillen and Silvestre in $[9]$ , we prove that the Fisher information is non-increasing along the flow of the isotropic Landau equation. We then use th…

Dissipation estimates of the Fisher information for the Landau equation

Bounds for the optimal constant of the Bakry-Émery Γ2​ criterion inequality on RPd−1

Global Existence for an Isotropic Landau Model

Bounds for the optimal constant of the Bakry-Émery $Γ_{2}$ criterion inequality on $R P^{d - 1}$