Operator Approach to the Problem on Small Motions of an Ideal Relaxing Fluid

In this paper, we study the problem on small motions of ideal relaxing fluid that fills a uniformly rotating or fixed container. We prove theorem uniform strong solvability corresponding initial-boundary problem. case where system does not rotate, find asymptotic behavior solution under stress special form. investigate spectral associated with considered system. obtain localization results for spectrum, essential and discrete properties spectrum. For nonrotating in weightlessness conditions, multiple basis property elements. case, an expansion evolution