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Stationary solutions to the two-dimensional Broadwell model - MaRDI portal

Stationary solutions to the two-dimensional Broadwell model (Q2213798)

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Stationary solutions to the two-dimensional Broadwell model
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    Stationary solutions to the two-dimensional Broadwell model (English)
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    3 December 2020
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    Summary: Existence of renormalized solutions to the two-dimensional stationary Broadwell model in a square with given indata in \(L^1\) is proven. Averaging techniques from the continuous velocity case being unavailable when the velocities are discrete, the approach is based on direct \(L^1\)-compactness arguments using the Kolmogorov-Riesz theorem.
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    Broadwell equation
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    discrete velocity Boltzmann equation
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    existence theory
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