Remarks on global existence of classical solution to multi-dimensional compressible Euler-Poisson equations with geometrical symmetry

Abstract

We give a necessary and sufficient condition for the global existence of the classical solution to the Cauchy problem of the compressible Euler-Poisson equations with radial symmetry. We introduce a new quantity which describes the balance between the initial velocity of the flow and the strength of the force governed by Poisson equation.

34 pages, to appear in RIMS Kokyuroku Bessatsu (RIMS Proceedings, Extra Volume)

References in corpus (1)

• The finite time blow-up for the Euler-Poisson equations in ${\mathbb{R}}^n$