Mathematical and numerical study of a dusty knudsen gas mixture : extension to non-spherical dust particles

Frédérique Charles (1, 2)

1 SU - Sorbonne Université
2 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

In this work, we consider the model introduced in [7] describing the movement of dust particles in a very rarefied atmosphere. The gas is treated as a Knudsen gas, whereas the interaction between dust particles and gas molecules is modeled by considering a moving domain free transport equation (including the boundary with the particles and the boundary of the domain). We here precise the proof of existence of solutions to the initial-boundary value problem annonced in [7]. Moreover, we introduce a new numerical strategy, based on a splitting between the transport of the gas molecules and the movement of the boundary. This strategy allow to perform 2d-numerical simulations with elliptical-shaped particles.

Domaines: Equations aux dérivées partielles [math.AP]

Frédérique Charles. Mathematical and numerical study of a dusty knudsen gas mixture : extension to non-spherical dust particles. Springer INdAM Series, 2021, Springer INdAM Series, 48, pp.129-145. ⟨10.1007/978-3-030-82946-9_6⟩. ⟨hal-03002236v2⟩