80 citations · 85 across the 8 of their papers we have counts for
8 papers
Uniqueness and Zeroth-Order Analysis of Weak Solutions to the Non-cutoff Boltzmann equation
Dingqun Deng, Shota Sakamoto
We establish the uniqueness of large solutions to the non-cutoff Boltzmann equation with moderate soft potentials. Specifically, the weak solution is unique…
An approach for the non-cutoff Boltzmann equation in
Renjun Duan, Shota Sakamoto, Yoshihiro Ueda
In the paper, we develop an approach to construct global solutions to the Cauchy problem on the non-cutoff Boltzmann equation near equilibrium in .…
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…
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…
Spectra of expanding maps on Besov spaces
Yushi Nakano, Shota Sakamoto
A typical approach to analysing statistical properties of expanding maps is to show spectral gaps of associated transfer operators in adapted function spaces. The classical functio…
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 -dimensional whole space. A unique global-in-time mild solution to the Cauchy problem of the equatio…
Global solutions in the critical Besov space for the non cutoff Boltzmann equation
Yoshinori Morimoto, Shota Sakamoto
The Boltzmann equation is studied without the cutoff assumption. Under a perturbative setting, a unique global solution of the Cauchy problem of the equation is established in a cr…
Some remarks on the homogeneous Boltzmann equation with the fractional Laplacian term
Shota Sakamoto
We study the homogeneous Boltzmann equation with the fractional Laplacian term. Working on the Fourier side we solve the resulting integral equation, and improve a previous result…