Local solutions for the Boltzmann equation
We study local existence for the Boltzmann equation near a global Maxwellian.
math.AP↗
arXiv subjects
Koya Nishimura
Publications and source records attributed to Koya Nishimura.
Global existence for the Boltzmann equation in $L^r_v L^\infty_t L^\infty_x$ spaces
We study the Boltzmann equation near a global Maxwellian. We prove the global existence of a unique mild solution with initial data which belong to the $L^r_v L^\infty_t L^\infty_x $ spaces where $r \in (1,\infty]$ by using the excess conservation laws and entropy inequality introduced in [5].
math.AP↗
The hard potential relativistic Boltzmann equation in the whole space
We study the Cauchy problem for the relativistic Boltzmann equation near relativistic Maxwellians in the whole space. The purpose of this article is to handle hard potentials, and for initial data with finite $L^\infty$ norm, to construct global in time mild solutions. We also prove the optimal time decay rates of the solutions.
math.AP↗