16 citations · 17 across the 4 of their papers we have counts for
4 papers
Convergence to the Self-similar Solutions to the Homogeneous Boltzmann Equation
Yoshinori Morimoto, Tong Yang, Huijiang Zhao
The Boltzmann H-theorem implies that the solution to the Boltzmann equation tends to an equilibrium, that is, a Maxwellian when time tends to infinity. This has been proved in vari…
Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
Yoshinori Morimoto, Nicolas Lerner, Karel Pravda-Starov +1
We consider the spatially inhomogeneous non-cutoff Kac's model of the Boltzmann equation. We prove that the Cauchy problem for the fluctuation around the Maxwellian distribution en…
A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
The purpose of this paper is to introduce a new characterization of the characteristic functions for the study on the measure valued solution to the homogeneous Boltzmann equation…
Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
It is known that the singularity in the non-cutoff cross-section of the Boltzmann equation leads to the gain of regularity and gain of weight in the velocity variable. By defining…