On Solutions in the Hydrodynamic Approximation of Solar and Stellar Winds With Viscosity

Abstract

In this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and-A is the infinitesimal generator of the analytic semigroup arising from the hydrodynamic Stokes operator.