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math.AP2025
Well-posedness and time-asymptotic of Boltzmann equations for monatomic and polyatomic mixtures
Ricardo Alonso, Zongguang Li
This paper considers a system of Boltzmann equations modelling the mixture of monatomic and polyatomic gases in an perturbation theory around global modified Max…
math.AP2025
Ionic KdV structure in weakly collisional plasmas
Renjun Duan, Zongguang Li, Dongcheng Yang +1
We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequ…
math.AP2025
Inelastic Boltzmann equation under shear heating
José A. Carrillo, Kam Fai Chan, Renjun Duan +1
In this paper, we study the spatially homogeneous inelastic Boltzmann equation for the angular cutoff pseudo-Maxwell molecules with an additional term of linear deformation. We est…