Shota Sakamoto

activity

20172022

most citedAn

L_{k}^{1} \cap L_{k}^{p}

approach for the non-cutoff Boltzmann equation in

R^{3}

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2022★ 1 cited

An $L_{k}^{1} \cap L_{k}^{p}$ approach for the non-cutoff Boltzmann equation in $R^{3}$

Renjun Duan, Shota Sakamoto, Yoshihiro Ueda

In the paper, we develop an $L_{k}^{1} \cap L_{k}^{p}$ approach to construct global solutions to the Cauchy problem on the non-cutoff Boltzmann equation near equilibrium in $R^{3}$ .…

math.AP2020

Boundary layers of the Boltzmann equation in a three-dimensional half-space

Shota Sakamoto, Masahiro Suzuki, Katherine Zhiyuan Zhang

We consider the nonlinear boundary layers of the Boltzmann equation in a three-dimensional half-space by perturbing around a Maxwellian, under the assumption that the Mach number o…

math.AP2019

Global mild solutions of the Landau and non-cutoff Boltzmann equations

Renjun Duan, Shuangqian Liu, Shota Sakamoto +1

This paper proves the existence of small-amplitude global-in-time unique mild solutions to both the Landau equation including the Coulomb potential and the Boltzmann equation witho…

math.AP2017

Solution to the Boltzmann equation in velocity-weighted Chemin-Lerner type spaces

Renjun Duan, Shota Sakamoto

In this paper we study the Boltzmann equation near global Maxwellians in the $d$ -dimensional whole space. A unique global-in-time mild solution to the Cauchy problem of the equatio…

An Lk1​∩Lkp​ approach for the non-cutoff Boltzmann equation in R3

Boundary layers of the Boltzmann equation in a three-dimensional half-space

Global mild solutions of the Landau and non-cutoff Boltzmann equations

Solution to the Boltzmann equation in velocity-weighted Chemin-Lerner type spaces

An $L_{k}^{1} \cap L_{k}^{p}$ approach for the non-cutoff Boltzmann equation in $R^{3}$