Multiple solutions of stationary Boltzmann equation

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

Resumen

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.

Biografía del autor

Rafael Galeano Andrade, Universidad de Cartagena.
Instituto de Matemáticas Aplicadas.
José de los Santos Marrugo Pérez, Universidad de Cartagena.
Instituto de Matemáticas Aplicadas.

Citas

[1] Arkeryd, L. On the stationary Boltzman equation”, Seminary E.D.P. expose N 3, pp 11 (2001-2002).
[2] Agarwal R., Meehan M., Or´egan D. Fixed point theory and applications, C. T. M., (2004).
[3] Arkeryd, L. and Nouri, A. The stationary Boltzman equation in Rn with given data, Annals Scuola Normal Superior de Pisa. (2002).
[4] Brezis Haim Functional Analysis, Sobolev spaces and partial dofferential equations, Sprinjer Verlag, (2011).
[5] Galeano R, almanza M, A variational approach of stationary Boltzmann under a condition of poisson type, Revista Tecnica Facultad de Ingenieria, Zulia, (2013).
[6] Galeano R., Almanza M., Ortega P. Stationary Boltzmann Equation with Boundary Data Depending on the Maxwellian, Matemática Enseñanza Universitaria, Vol 20, No. 2, (2012).
[7] Galeano R., Cantillo J., Ortega P. Stationary Boltzmann Equation and the Nonlinear Alternative of Leray-Schauder, Cubo journal of mathematics, Vol 16, (2014).
[8] Maslova N. Nonlinear Evolution Equation, Series on Advances in Mathematics for Applied Series, Vol 10, (1993).
[9] Uray S., Yang T., Stationary Problems of Boltzmann Equation”, Hanbook of Differential Equations, Vol 5, Elsevier, 2008.
[10] Wu Lei Hidrodinamic Limit with Geometric Correction of Stationary Boltzmann Equation, Arxiv: 14093945v5, October 2015.
Publicado
2018-09-24
Cómo citar
Galeano Andrade, R., & Marrugo Pérez, J. (2018). Multiple solutions of stationary Boltzmann equation. Proyecciones. Journal of Mathematics, 37(3), 405-413. Recuperado a partir de http://www.revistaproyecciones.cl/article/view/3160
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Artículos