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- 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
: 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
for the modified nonlinear Enskog
equation in
,
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
-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)
-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
-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.
Next: Recent Conference Presentations
Up: Publications of Jacek Polewczak
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Jacek Polewczak
2003-03-12