Large (from tens of percent up to several times) ion flux (or density) and magnetic field magnitude variations are typical magnetosheath features. Case and statistical comparisons of simultaneous solar wind observations, magnetosheath observations, and the gasdynamic model for the magnetosheath flow of Spreiter et al. (Planet. Space Sci. 14 (1966) 223) show that two types of magnetosheath plasma and magnetic field variations exist: in some cases, they are a repetition or amplification of solar wind or IMF disturbances which pass through the bow shock;but in the most cases, these variations are endogenous; i.e., they originate inside the magnetosheath.Persistence times and/or correlation lengths for the magnetosheath plasma variations were investigated via detailed comparison of simultaneous magnetosheath measurements from several spacecraft. For small separation distances (about 0.5R E ) we used the satellite pair INTERBALL-1/MAGION-4; for larger distances (up to 10-30R E on the same or on the opposite flanks of the magnetosheath) we used the INTERBALL-1/GEOTAIL/IMP 8 measurements.In some cases, we observed a remarkable coincidence of the magnetosheath plasma behavior from the spacecraft separated by more than 10R E . It seems that the compression plasma structures move tailward together with the magnetosheath plasma flow.