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Motivated by the astrophysical problems of star formations from molecularclouds,we make the first step on the possible long time behaviors of certainirregularly-shaped molecular clouds. We emphasis the main difficulty of theblowups of the irregular-shaped fluids with vacuum (molecular clouds) comesfrom the initial irregular configurations of its density (multiple centers ofgravity). This inevitably causes far more complicated movements during theevolution than the one with spherical symmetry. The spherical symmetric casehas been well studied. However, for the non-spherical symmetric case with thegravity, it is very rare in the references due to a very complicate nonlinearinteraction between the gravity and the fluids. This article concludes, underthe admissible data (i.e., large scale, irregularly-shaped, expanding androtational molecular clouds), the developments of the solution (molecularclouds) are either global (the first class) with near-boundary mass accretions(leads to star formations), or blowup at finite time. In addition, certainsingularities can be removed from the boundary if the data is stronglyadmissible. This paper partially answers Makino's conjecture [37] in 1992 onthe finite time blowup of any tame solution without symmetries for some dataand the model of the molecular clouds and the local wellposedness have beenestablished in the companion article [30].

Blowups and longtime developments with near-boundary mass accretions of irregularly-shaped Euler--Poisson dominated molecular clouds in astrophysics