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arxiv: 1708.02164 · v2 · pith:6Q55JJG4new · submitted 2017-08-07 · 🧮 math.AP

Stationary solutions for the ellipsoidal BGK model in a slab

classification 🧮 math.AP
keywords boundaryellipsoidalmodeladdressaroundassumptionboltzmannbounded
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We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied.

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