Local solutions for the Boltzmann equation
Koya Nishimura
TL;DR
This paper investigates the local existence of solutions to the Boltzmann equation in the vicinity of a global Maxwellian distribution, contributing to the mathematical understanding of kinetic theory.
Contribution
It provides new results on local existence for the Boltzmann equation near a Maxwellian, advancing theoretical knowledge in kinetic equations.
Findings
Established local existence results for the Boltzmann equation
Analyzed solutions near a global Maxwellian
Contributed to the mathematical theory of kinetic equations
Abstract
We study local existence for the Boltzmann equation near a global Maxwellian.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Numerical methods in inverse problems · Navier-Stokes equation solutions