TY - JOUR AU - Koumantos, Panagiotis N. AU - Pavlakos, Panaiotis K. AU - Moussas, Xenophon D. PY - 2014 TI - ON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITY JF - Physics International VL - 5 IS - 2 DO - 10.3844/pisp.2014.136.139 UR - https://thescipub.com/abstract/pisp.2014.136.139 AB - 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 arises by the hydrodynamic Stokes operator.