Almost Periodic Solutions of Navier–Stokes–Ohm Type Equations in Magneto-Hydrodynamics

Athanasiadou, Evagelia S.; Dionysatos, Vasileios F.; Koumantos, Panagiotis N.; Pavlakos, Panaiotis K.

doi:10.1007/978-3-319-04720-1_3

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2014

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“…In the sense of semigroup approach to differential evolution equations, concerning the case of magnetohydodynamics (Athanasiadou et al, 2014a;2014b), for the hydrodynamic approximation that we are intrested in, we obtain the following results.…”

Section: Resultsmentioning

confidence: 76%

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

Koumantos¹,

Pavlakos²,

Moussas³

2014

Physics International

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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.

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Section: Resultsmentioning

confidence: 76%