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Instantaneous Exponential Ill-posedness of the BGK Model in a Half-Space with Inflow Boundary Conditions
In this paper, we study boundary-driven behavior of the BGK model and the Boltzmann equation in a half-space with vacuum initial data. For any $1\leqβ\leq2$ and $α>0$, we construct a unique local-in-time BGK solution whose inflow boundary data have an arbitrarily small norm with the tangential expon
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