Stationary Boltzmann equation
an approach via Morse theory
DOI:
https://doi.org/10.22199/issn.0717-6279-4034Keywords:
Stationary Boltzmann equation, Morse theory, Critical pointsAbstract
In this paper we study the unidimensional Stationary Boltzmann Equation by an approach via Morse theory. We define a functional J whose critical points coincide with the solutions of the Stationary Boltzmann Equation. By the calculation of Morse index of J’’0(0)h and the critical groups C2(J, 0) and C2(J, ∞) we prove that J has two different critical points u1 and u2 different from 0, that is, solutions of Boltzmann Equation.
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Copyright (c) 2021 Rafael Galeano, Joel Torres del Valle
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