Multiple solutions of stationary Boltzmann equation.

Authors

  • Rafael Galeano Andrade University of Cartagena.
  • José de los Santos Marrugo Pérez University of Cartagena.

Keywords:

Fixed points, Multiple solutions, Stationary Boltzmann equation

Abstract

We find two fixed points differents of cero of the operator in an Sobolev Spaces in L¹ (Ω) with Ω ⊆ Rn and they are solutions of Boltzmann equation.

Author Biographies

Rafael Galeano Andrade, University of Cartagena.

Institute of Applied Mathematics.

José de los Santos Marrugo Pérez, University of Cartagena.

Institute of Applied Mathematics.

References

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Arkeryd, L. and Nouri, A. The stationary Boltzman equation in Rn with given data, Annals Scuola Normal Superior de Pisa. (2002).

Brezis Haim Functional Analysis, Sobolev spaces and partial dofferential equations, Sprinjer Verlag, (2011).

Galeano R, almanza M, A variational approach of stationary Boltzmann under a condition of poisson type, Revista Tecnica Facultad de Ingenieria, Zulia, (2013).

Galeano R., Almanza M., Ortega P. Stationary Boltzmann Equation with Boundary Data Depending on the Maxwellian, Matemática Enseñanza Universitaria, Vol 20, No. 2, (2012).

Galeano R., Cantillo J., Ortega P. Stationary Boltzmann Equation and the Nonlinear Alternative of Leray-Schauder, Cubo journal of mathematics, Vol 16, (2014).

Maslova N. Nonlinear Evolution Equation, Series on Advances in Mathematics for Applied Series, Vol 10, (1993).

Uray S., Yang T., Stationary Problems of Boltzmann Equation”, Hanbook of Differential Equations, Vol 5, Elsevier, 2008.

Wu Lei Hidrodinamic Limit with Geometric Correction of Stationary Boltzmann Equation, Arxiv: 14093945v5, October 2015.

Published

2018-09-24

How to Cite

[1]
R. Galeano Andrade and J. de los S. Marrugo Pérez, “Multiple solutions of stationary Boltzmann equation.”, Proyecciones (Antofagasta, On line), vol. 37, no. 3, pp. 405-413, Sep. 2018.

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