Education

Ph.D. in Mathematics, University of Victoria, BC, Canada (2010)
Thesis: The Cauchy Problem for the 3D Relativistic Vlasov-Maxwell System and Its Darwin Approximation [pdf]
Thesis Advisor: Dr. Reinhard Illner

Master in Modeling and Simulation of Complex Realities
the Abdus Salam International Center for Theoretical Physics, Trieste, Italy

B.Sc. in Nuclear Physics; Summa Cum Laude,
Higher Institute of Nuclear Sciences and Technology (ISCTN), Havana, Cuba

Research Interests

• Mathematical Physics
• Applied Functional Analysis
• Nonlinear Evolution Equations
• Kinetic Theory
• Plasma Physics

Publications and Pre-Prints

• R. Sospedra-Alfonso and B. D. Shizgal,
  Henyey-Greenstein Model in the Shape Relaxation of Dilute Gas Mixtures, Transport Theor. Stat. Phys., In Press.
• R. Sospedra-Alfonso and B. D. Shizgal,
  Kullback-Leibler entropy in the electron distribution shape relaxation for electron-atom thermalization, Phys. Rev. E 84:041202 (2011).
• R. Sospedra-Alfonso and M. Agueh,
  Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system, Submitted. [arXiv]
• R. Sospedra-Alfonso, M. Agueh and R. Illner,
  Global Classical solutions of the relativistic Vlasov-Darwin system with small Cauchy data: the generalized variables approach, accepted to Arch. Rational Mech. Anal. [arXiv]
• R. Sospedra-Alfonso,
  On the energy conservation by weak solutions of the relativistic Vlasov-Maxwell system, Comm. Math. Sci. 8(4):901-908 (2010). [arXiv]
• R. Sospedra-Alfonso and R. Illner,
  Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density, Math. Methods Appl. Sci. 33(6):751-757 (2010). [arXiv]
• M. Rodríguez-Gual, F.F. Lima, R. Sospedra-Alfonso, J. González-González and C. Calderón-Marín,
  Preliminary results of 3D dose calculations with MCNP-4B code from a SPECT image, Revista Española de Medicina Nuclear 6(23):414-416 (2004).
• L. Velázquez, R. Sospedra-Alfonso, J.C. Castro and F. Guzmán,
  On the dynamical anomalies in the Hamiltonian Mean Field model. [arXiv]
• R. Sospedra-Alfonso, L. Velázquez and J. Rubayo-Soneira,
  Geometrical description of Hamiltonian chaos in low dimensional systems. The Ne...I2 model case, Chem. Phys. Lett. 375:261-268 (2003).
• R. Sospedra-Alfonso, E. Cuervo, M. Martínez, B. Carballo and J. Rubayo,
  Brochure: Prácticas de Laboratorio de Física Molecular, 60 pgs., ISCTN, La Habana, Cuba (2002).