On the motion of a body in thermal equilibrium immersed in a perfect gas
Kazuo Aoki; Guido Cavallaro; Carlo Marchioro; Mario Pulvirenti
ESAIM: Mathematical Modelling and Numerical Analysis (2008)
- Volume: 42, Issue: 2, page 263-275
- ISSN: 0764-583X
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top- W. Braun and K. Hepp, The Vlasov dynamics and its fluctuations in the limit of interacting classical particles. Comm. Math. Phys.56 (1977) 101–113.
- P. Buttà, E. Caglioti and C. Marchioro, On the long time behavior of infinitely extended systems of particles interacting via Kac Potentials. J. Stat. Phys.108 (2002) 317–339.
- S. Caprino, C. Marchioro and M. Pulvirenti, Approach to equilibrium in a microscopic model of friction. Comm. Math. Phys.264 (2006) 167–189.
- S. Caprino, G. Cavallaro and C. Marchioro, On a microscopic model of viscous friction. Math. Models Methods Appl. Sci.17 (2007) 1369–1403.
- G. Cavallaro, On the motion of a convex body interacting with a perfect gas in the mean-field approximation. Rend. Mat. Appl.27 (2007) 123–145.
- R.L. Dobrushin, Vlasov equations. Sov. J. Funct. Anal.13 (1979) 115–123.
- C. Gruber and J. Piasecki, Stationary motion of the adiabatic piston. Physica A268 (1999) 412–423.
- J.L. Lebowitz, J. Piasecki and Y. Sinai, Scaling dynamics of a massive piston in a ideal gas, in Hard Ball Systems and the Lorentz Gas, Encycl. Math. Sci.101, Springer, Berlin (2000) 217–227.
- H. Neunzert, An Introduction to the Nonlinear Boltzmann-Vlasov Equation, in Kinetic Theories and the Boltzmann Equation, Montecatini (1981), Lecture Notes in Math.1048, Springer, Berlin (1984) 60–110.
- H. Spohn, On the Vlasov hierarchy. Math. Meth. Appl. Sci.3 (1981) 445–455.