On the connection between Hamiltonian many-particle systems and the hydrodynamical equations. (English) Zbl 0850.70166
References:
| [1] | Balescu, R.: Equilibrium and Nonequilibrium Statistical Mechanics. Wiley, 1975. · Zbl 0984.82500 |
| [2] | Braun, W. & Hepp, K.: The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles. Commun. Math. Phys. 56, 101-113, 1977. · Zbl 1155.81383 · doi:10.1007/BF01611497 |
| [3] | Gingold, R. A. & Monaghan, J. J.: Kernel estimates as a basis for general particle methods in hydrodynamics. J. Comput. Phys. 46, 429-453, 1982. · Zbl 0487.76010 · doi:10.1016/0021-9991(82)90025-0 |
| [4] | Lachowicz, M. & Pulvirenti, M.: A stochastic system of particles modelling the Euler equations. Arch. Rational Mech. Anal. 109, 81-93, 1990. · Zbl 0682.76002 · doi:10.1007/BF00377981 |
| [5] | Majda, A.: Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. Springer-Verlag, 1984. · Zbl 0537.76001 |
| [6] | Oelschläger, K.: A law of large numbers for moderately interacting diffusion processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete 69, 279-322, 1985. · Zbl 0549.60071 · doi:10.1007/BF02450284 |
| [7] | Oelschläger, K.: A fluctuation theorem for moderately interacting diffusion processes. Probab. Th. Rel. Fields 74, 591-616, 1987. · Zbl 0592.60064 · doi:10.1007/BF00363518 |
| [8] | Oelschläger, K.: On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes. Probab. Th. Rel. Fields 82, 565-586, 1989. · Zbl 0673.60110 · doi:10.1007/BF00341284 |
| [9] | Oelschläger, K.: Large systems of interacting particles and the porous medium equation. J. Diff. Eqs. 88, 294-346, 1990. · Zbl 0734.60101 · doi:10.1016/0022-0396(90)90101-T |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
