Preliminary results on the non-existence of solutions for a half space boltzmann collision model with three degrees of freedom
A two component model of the linearized Boltzmann equation in a half-space incorporating three degrees of freedom is studied. The linearized collision term is taken to be a summation over a suitable combination of the collision invariants. Preliminary results concerning exponents of compensating factors involved in the Wiener-Hopf factorization of the dispersion matrix are presented. Comparison is made to the case of the linearized Boltzmann equation in a half-space incorporating only one degree of freedom.
KeywordsBoltzmann Equation Real Axis Speed Ratio Analyticity Requirement Transport Operator
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