Results concerning uniqueness of solutions to the steady state Boltzmann equation
Date
1993
Authors
Montgomery, Patrick James
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Abstract
Using a contraction mapping, solutions to the truncated steady-state one
dimensional Boltzmann Equation in a bounded interval with initial boundary
conditions are shown to be unique for small enough interval width. Associated
results are the existence and uniqueness of a solution without the restriction of non-negativity. Also, a companion uniqueness result to the existence of a measure solution for the associated truncated measure boundary value problem is obtained for small enough interval width.
Description
Keywords
UN SDG 10: Reduced Inequalities