Weak asymptotic methods for 3-D self-gravitating pressureless fluids. Application to the creation and evolution of solar systems from the fully nonlinear Euler-Poisson equations

TL;DR

This paper introduces weak asymptotic methods to analyze the 3-D Euler-Poisson equations governing self-gravitating pressureless fluids, providing insights into the formation and evolution of solar systems.

Contribution

It develops a new weak asymptotic framework for the nonlinear Euler-Poisson system, advancing understanding of gravitational fluid dynamics in astrophysics.

Findings

Constructed classical functions approximating solutions

Demonstrated asymptotic satisfaction of the Euler-Poisson system

Applicable to modeling solar system formation

Abstract

We construct a family of classical continuous functions which tend to satisfy asymptotically the system of self-gravitating pressureless fluids.