L 1 Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas

Seung-Yeal Ha () and Athanasios E. Tzavaras ()
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Seung-Yeal Ha: University of Wisconsin-Madison, Department of Mathematics
Athanasios E. Tzavaras: University of Wisconsin-Madison, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 205-215 from Springer

Abstract: Abstract We prove L 1 stability for the one-dimensional Broadwell model for a discrete velocity gas. For initial data in L 1(R) ∩ L + ∞ (R) with small mass, we show that bounded mild solutions are L 1-stable. For this, we employ a nonlinear functional H(t) that is equivalent to the L 1 distance between two mild solutions and non-increasing in time t.

Keywords: Boltzmann Equation; Mild Solution; Discrete Velocity; Global Existence Result; Nonlinear Functional (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_18

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DOI: 10.1007/978-3-642-55711-8_18

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