Abstract:
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.
Citation:
V. I. Gerasimenko, “Solutions of Bogolyubov equations for one-dimensional system of hard spheres”, TMF, 91:1 (1992), 120–128; Theoret. and Math. Phys., 91:1 (1992), 410–417