The fluid-dynamical limit of the Boltzmann equation for a polyatomic gas model with soft potential
Abstract
In this paper, we study the fluid-dynamical limit of the Boltzmann equation for a polyatomic gas with a soft potential collision kernel function based on the extended Grad assumption, which involves the continuous internal energy I and the molecular degrees of freedom α. Using the L2 ∩ L∞ framework, we prove the local existence of Lv,I2∩Lv,I∞ weak solutions to this moldel and obtain the compressible Euler limit from this Boltzmann equation by using the Lv,I2∩Lv,I∞ energy estimate with establing some new properties of the collison operator.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Navier-Stokes equation solutions
Computational Fluid Dynamics and Aerodynamics
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 3
- Publication date
- 1 March 2026
- Language
- EN