Abstract
A generalized existence theory for Enskog equations is outlined. The method includes the symmetrized and revised Enskog equations, a class of generalized Enskog equations, and the Boltzmann equation as a special case. Regularity properties for the Enskog equations are given.
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References
Van Beijeren, H., Ernst, M.H., “The modified Enskog equation,” Physica 68, 437–456 (1973).
Résibois, P., “H-theorem for the (modified) nonlinear Enskog equation,” J. Stat. Phys. 19, 593–609 (1978).
Polewczak, J., “Global existence in L 1 for the generalized Enskog equation,” J. Stat. Phys. 59, 461–500 (1990).
Mareschal, M., Blawzdziewicz, J., Piasecki, J., “Local entropy production from the revised Enskog equation: General formulation for inhomogeneous fluids,” Phys. Rev. Lett. 52, 1169–1172 (1984).
Arkeryd, L., “On the Enskog equation with large initial data,” preprint, Dept. Mathematics, University of Goteborg (1988).
DiPerna, R.L., Lions, P.L., “On the Cauchy problem for the Boltzmann equations: global existence and weak stability,” Annals of Math. 130, 321–366 (1989).
Arkeryd, L., Cercignani, C., “On the convergence of solutions of the Enskog equation to solutions of the Boltzmann equation,” preprint (1988).
Ruelle, D., Statistical Mechanics, W. A. Benjamin, Reading, Massachusetts, 1969.
Polewczak, J., “Global existence in L 1 for the modified nonlinear Enskog equation in IR3,” J. Stat. Phys. 56, 159–173 (1989).
Golse, F., Lions, P.L., Perthame, B., Sentis, R., “Regularity of the moments of the solution of a transport equation,” J. Funct. Analysis 76, 110–125 (1988).
Mareschal, M., Blawzdziewicz, J., Piasecki, J., “Local entropy production from the revised Enskog equation: General formulation for inhomogeneous fluids,” Phys. Rev. Lett. 52, 1169–1172 (1984).
Piasecki, J., “Local H-theorem for the revised Enskog equation,” J. Stat. Phys. 48, 1203–1211 (1987).
Blawzdziewicz, J., Stell, G., “Local H-theorem for a kinetic variational theory,” J. Stat. Phys. 56, 821–840 (1989).
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© 1991 Springer Basel AG
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Polewczak, J. (1991). A Unified Approach to Initial Value Problems for the Generalized Enskog Equation. In: Greenberg, W., Polewczak, J. (eds) Modern Mathematical Methods in Transport Theory. Operator Theory: Advances and Applications, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5675-1_22
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DOI: https://doi.org/10.1007/978-3-0348-5675-1_22
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5677-5
Online ISBN: 978-3-0348-5675-1
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