2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/82448We search for non-trivial relativistic solutions of the hydrodynamic equations with quasi-inertial flows such as in the Bjorken-like models. The problem is analyzed in general and the known results are reproduced by a method proposed. A new class of 3D anisotropic analytic solutions with quasi-inertial property is found. An ellipsoidal generalization of the spherically symmetric Hubble flow with constant pressure is proposed as a particular case. The relativistic expansion of finite systems into vacuum is also described within this class. A region of applicability and possible utilization of the new solutions for processes of A+A collisions is discussed.RevTeX, 5 pages, no figuresNuclear TheoryHigh Energy Physics - PhenomenologyNuclear ExperimentQuasi-inertial ellipsoidal flows in relativistic hydrodynamicstext