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The first part of this work addresses the importance of shear flows in astrophysical gas dynamics, where the evolution of the KelvinHelmholtz instability (KHI) is studied analytically and numerically. The dispersion relation for the twodimensional KHI including viscous dissipation is derived. The resulting expression for the growth rate is then used to estimate the intrinsic viscosity of four numerical schemes depending on codespecific as well as on physical parameters. The second part of this work focuses on the importance of forthcoming CMB measurements and their corresponding implications for cosmology. The theoretical CMBcross correlation bispectrum (between the ReesSciama and weak lensing effect) together with the corresponding signaltonoise ratio are analyzed for dark energy models with a time varying equation of state the quintessence. The main focus is on a special form of quintessence, called early dark energy. The theoretical predicted signals give insight if future experiments are able to distinguish between quintessence and the standard cosmological constant.
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