BGK model for multi-component gases near a global Maxwellian
Gi-Chan Bae,
Christian Klingenberg,
Marlies Pirner
et al.
Abstract:In this paper, we establish the existence of the unique global-in-time classical solutions to the multi-component BGK model suggested in [47] when the initial data is a small perturbation of global equilibrium. For this, we carefully analyze the dissipative nature of the linearized multi-component relaxation operator, and observe that the partial dissipation from the intra-species and the inter-species linearized relaxation operators are combined in a complementary manner to give rise to the desired dissipatio… Show more
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