Geodesic
Solutions of Bogolyubov equations for one-dimensional system of hard spheres
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 120-128 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a one-dimensional system of particles that interact as hard elastic spheres the existence of global solutions to the Cauehy problem for the Bogolyubov equations is proved for initial data in spaces of sequences of summable and bounded functions. 
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V. I. Gerasimenko. Solutions of Bogolyubov equations for one-dimensional system of hard spheres. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 1, pp. 120-128. http://geodesic.mathdoc.fr/item/TMF_1992_91_1_a8/

[1] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M., 1946 | MR

[2] Petrina D. Ya., Gerasimenko V. I., UMN, 45:3 (1990), 135–182 | MR | Zbl

[3] Uchiyama K., Hiroshima Mat. J., 18:2 (1988), 245–297 | MR | Zbl

[4] Dobrushin R. L., Sinai Ya. G., Sukhov Yu. M., Sovr. probl. mat. Fund. napr., 2, VINITI, M., 1985, 233–284 | MR

[5] Hurd A. E., Arch. Rat. Mech. and Analysis, 98 (1987), 191–209 | DOI | MR | Zbl

[6] Aizenmann M., Goldstein S., Lebowitz J. L., Commun. Math, Phys., 39:4 (1975), 289–301 | DOI | MR

[7] Sinai Ya. G., Funkts. analiz i ego prilozh., 6:1 (1972), 41–50 | MR | Zbl

[8] Aizenmann M., Lebowitz J. L., Marro J., J. Stat. Phys., 18 (1978), 179–190 | DOI | MR

[9] Dobrushin P. L., Sukhov Yu. M., Sovr. probl. mat., 14, VINITI, M., 1979, 148–254 | MR | Zbl

[10] Boldrighini J., Dobrushin R. L., Suhov Yu. M., Stat. Phys., 31:3 (1983), 577–615 | DOI | MR

[11] Spohn H., Ann. Phys., 141:2 (1982), 353–385 | DOI | MR

[12] Holley R., Z. Wahrsch. Verw. Geb., 17:3 (1971), 181–219 | DOI | MR

[13] Dürr D., Goldstein S., Lebowitz J. L., Comrnun. Math. Phys., 78 (1981), 507–530 | DOI | MR | Zbl

[14] Grad H., Handbuch der Physik, 12 (1958), 205–294 | DOI | MR

[15] Gerasimenko V. I., Petrina D. Ya., TMF, 83:1 (1990), 92–114 | MR

[16] Galperin G. A., UMN, 33:1 (1978), 199 | MR

[17] Illner R., Finiteness of the number of collisions in haid sphere particle system in all space. Arbitrary diameters and masses, preprint Univ. Victoria, Canada, 1990 | MR | Zbl

[18] Gerasimenko V. I., DAN USSR, 1982, no. 5, 10–13 | MR | Zbl