On a functional equation in mathematical kinetic theory

References

• Enskog , D. 1921 . Kinetiske Theorie , 63 Svenska Akad. . English Translation in Kinetic Theory, Brush S. Ed., VoL3, Pergamon Press (1972)
   Google Scholar
• Bellomo , N. , Lachowicz , M. , Polewczak , J. and Toscani , G. 1991 . “ Mathematical Topics in Nonlinear Kinetic Theory II: The Enskog Equation ” . In Advances in Mathematics for Applied Sciences n. 1 , World Sci .
   Google Scholar
• Van Beueren , H. and Ernst , M R . 1973 . The modified Enskog Equation . Physica , 68 : 437 – 456 .
   Google Scholar
• Resibois , P. 1978 . H-theorem for the (modified) nonlinear Enskog Equation . J. Statist. Phys. , 19 : 593 – 609 .
   Web of Science ®Google Scholar
• Polewczak , J. 1989 . Global Existence in L1 for the modified nonlinear Enskog Equation in R3 . J. Statist. Phys. , 56 : 159 – 173 .
   Web of Science ®Google Scholar
• Polewczak , J. 1989 . Global Existence and asymptotic Behaviour for the nonlinear Enskog Equation . SIAM J. Appl. Math , 49 : 952 – 959 .
   Google Scholar
• Bellomo , N. and Lachowicz , M . 1991 . “ On the asymptotic Theory of the Boltzmann and Enskog Equations ” . In Springer Lecure Notes in Mathematics: Mathematical Aspects of Fluid and Plasma Dynamics Edited by: Toscani , G. and Boffi , V. 15 – 30 .
   Google Scholar
• Carleman , T. 1957 . Problèmes Mathématiques dans la Théorie Cinétique des Gaz , Almquist and Wiksells .
   Google Scholar
• Arkeryd , L. 1972 . On the Boltzmann Equation. Part II: The full initial value problem . Arch. Rat. Mech. Anal. , 45 : 17 – 34 .
   Web of Science ®Google Scholar
• Aczel , J. 1966 . “ Lectures on Functional Equations and their Applications ” . In Mathematics in Science and Engineering n. 19 , Academic Press .
   Google Scholar
• Bellomo , N. and Polewczak , J. 1994 . The generalized Bokzmann equation: existence and exponential trend to equilibrium . C. R. Acad Sci. Paris , 319 : 893 – 898 .
   Google Scholar
• Arlotti , L. , Bellomo , N. , Lachowicz , M , Polewczak , J. and Walus , W. 1995 . “ Lecture Notes on the Matematical Theory of the Boltzmann Equation ” . In Advances in Mathematics for Applied Sciences a.33 , World Sci .
   Google Scholar