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Published Articles

• Global existence theorems for nonlinear Boltzmann equation,
  in Nonequilibrium Phenomena I The Boltzmann Equation (Studies in Statistical Mechanics, vol. 10), E. W. Montroll and J. L. Lebowitz eds., North-Holland, Amsterdam, 1982, pp. 19-49. (with W. Greenberg and P. F. Zweifel)
  
  
• Some remarks about continuity properties of local Maxwellians and on existence theorem for the BGK model of the Boltzmann equation,
  Journal of Statistical Physics 33, 307-316 (1983). (with W. Greenberg)
  
  
• Classical solution of the nonlinear Boltzmann equation in all $\ensuremath{\mathbb{R}^3}$: Asymptotic behavior of solutions,
  Journal of Statistical Physics 50, 611-632 (1988).
  
  
• Singular solutions of the nonlinear Boltzmann equation,
  in Proceedings of the XVI International Symposium on Rarefied Gas Dynamics, 1988, (Progress in Astronautics and Aeronautics vol. 118, E. P. Muntz, D. P. Weaver, D. H. Campbell, eds., AIAA, Washington, D. C., pp. 39-47.
  
  
• Global existence and asymptotic behavior for the nonlinear Enskog equation,
  SIAM Journal of Applied Mathematics 49, 952-959 (1989).
  
  
• Global existence in $L^1$ for the modified nonlinear Enskog equation in $\ensuremath{\mathbb{R}^3}$,
  Journal of Statistical Physics 56, 159-173 (1989).
  
  
• A global existence theorem for the nonlinear BGK equation,
  Journal of Statistical Physics 55, 1313-1321 (1989). (with W. Greenberg)
  
  
• Ordinary differential equations on closed subsets of Frechet spaces with applications to fixed point theorems,
  Proceedings of the American Mathematical Society 107, 1005-1012 (1989).
  
  
• Averaging techniques for the transport operator and an existence theorem for the BGK equation in kinetic theory,
  in Proceedings of Conference on Operator Theory (Operator Theory: Advances and Applications vol. 41), R. Kaashoek, ed., Birkhäuser Verlag, Basel, 1989, pp. 299-309. (with W. Greenberg)
  
  
• Transport equations in weak $*$ topologies of dual Banach spaces,
  Transport Theory and Statistical Physics 18, 115-124 (1989). (with W. Greenberg)
  
  
• New estimations of the nonlinear Boltzmann operator and their application to existence theorems,
  Transport Theory and Statistical Physics 18, 235-247 (1989).
  
  
• Unified approach to initial value problems for the generalized Enskog equation,
  in Modern Mathematical Methods in Transport Theory (Operator Theory: Advances and Applications, vol. 51), W. Greenberg and J. Polewczak eds., Birkhäuser Verlag, Basel, 1990, pp. 251-260.
  
  
• Global existence in $L^1$-data for the generalized Enskog equation,
  Journal of Statistical Physics 59, 461-500 (1990).
  
  
• Ordinary differential equations on closed subsets of locally convex spaces with applications to fixed point theorems,
  Journal of Mathematical Analysis and Applications 151, 208-225 (1990).
  
  
• Eleventh International Transport Theory Conference,
  Transport Theory and Statistical Physics 19, 75-85 (1990). (with W. Greenberg)
  
  
• New properties of a class of generalized kinetic equations,
  Journal of Statistical Physics 64, 437-464 (1991). (with G. Stell)
  
  
• Liapunov functionals and qualitative behavior of the solution to the non-linear Enskog equation,
  in Advances in Partial Differential Equations and Applications to Mathematical Physics, Plenum Press, 1992. (with N. Bellomo and L. Preziosi)
  
  
• $k$-particle kinetic equations: in search of the nonequilibrium entropy,
  in Proceedings of the VI International Conference on Waves and Stability in Continuum Media, Catania, Italy, May 27-June 1, 1991. (Le Matematiche, vol. 46, Fasc. 1, 311-319, 1991)
  
  
• An H-theorem for the kinetic equation of simple reacting spheres,
  in Nonlinear Kinetic Theory and Mathematical Aspects of Hyperbolic Systems (Series on Advances in Mathematics for Applied Sciences, vol. 9), V. C. Boffi, F. Bampi, and G. Toscani, Eds., World Scientific Publishing, London, 1992, pp. 196-203. (with G. Stell)
  
  
• The generalized Boltzmann equation existence and exponential trend to equilibrium,
  C. R. Acad. Sci. Paris, 319, Série I, 893-898, (1994). (with N. Bellomo)
  
  
• Some physical and mathematical problems in the square-well kinetic theory,
  Rendiconti del Circolo Matematico di Palermo, serie II, No. 45, A. Greco and S. Rionero, Eds., 513-519 (1996).
  
  
• On the generalized Boltzmann equation: Existence, trend to equilibrium, and hydrodynamics,
  Transport Theory and Statistical Physics, 26(6), 661-677 (1997). (with N. Bellomo)
  
  
• On the Evolution of the generalized Shape in Immunology,
  Applied Mathematics Letters, 10(4), 53-58 (1997). (with N. Bellomo and M. Lachowicz)
  
  
• Nonlinear Transport equations in weak Banach space topologies,
  in Rarefied Gas Dynamics, C. Shen, Ed., Peking University Press, Beijing, 1997, pp. 97-101. (with W. Greenberg)
  
  
• Kinetic theory of atoms and photons: An application to the Milne-Chandrasekhar problem,
  Transport Theory and Statistical Physics, 27(5-7), 625-638 (1998). (with R. Monaco and A. Rossani)
  
  Links to PostScript and pdf copies of the above paper.

• Kinetic theory of atoms and photons: On the solution to the Milne-Chandrasekhar problem,
  Transport Theory and Statistical Physics, 28(7), 709-725 (1999). (with R. Monaco and A. Rossani)
  
  Links to PostScript and pdf copies of the above paper.

• On Some Open Problems in the Revised Enskog Equation for Dense Gases,
  in Proceedings ``WASCOM 99'' 10th Conference on Waves and Stability in Continuous Media, Vulcano (Eolie Islands), Italy, 7-12 June 1999, V. Ciancio, A. Donato, F. Oliveri, and S. Rionero, Eds., World Scientific Publishing, London, 2001, pp. 382-396.
  
  Links to PostScript and pdf copies of the above paper.

• The Kinetic theory of simple reacting spheres: I. Global existence result in a dilute-gas case,
  Journal of Statistical Physics, 100, (2000), 327-362.
  
  Links to PostScript and pdf copies of the above paper.

• A review of the kinetic modelings for non-reactive and reactive dense fluids: Questions and problems,
  Rivista di Matematica della Universitá di Parma, 4(6), (2001), 23-55.
  
  Links to PostScript and pdf copies of the above paper.

• An $H$-Theorem in a simple model of chemically reacting dense gases, Gases,
  in Proceedings ``WASCOM 2001'' 11th Conference on Waves and Stability in Continuous Media, Porto Ercole (Grosseto), Italy, 3-9 June 2002, R. Monaco, M. P. Bianchi,and S. Rionero, Eds., World Scientific Publishing, London, 2002, pp. 409-415.
  
  
• Transport coefficients in some stochastic models of the revised Enskog equation,
  Journal of Statistical Physics, 109, (2002), 569-590. (with G. Stell)
  
  Links to PostScript and pdf copies of the above paper.

• A note on kinetic models for chemical reactions: comparisons and existence results, (with M. Groppi), submitted for publication.