8,858 research outputs found
On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space
In this paper, we show the existence of real-analytic stationary
Navier-Stokes flows with isotropic streamlines in all latitudes in some
simply-connected flow region on a rotating round sphere. We also exclude the
possibility of having a Poiseuille's flow profile to be one of these stationary
Navier-Stokes flows with isotropic streamlines. When the sphere is replaced by
a 2-dimensional hyperbolic space, we also give the analog existence result for
stationary parallel laminar Navier-Stokes flows along a circular-arc boundary
portion of some compact obstacle in the 2-D hyperbolic space. The existence of
stationary parallel laminar Navier-Stokes flows along a straight boundary of
some obstacle in the 2-D hyperbolic space is also studied. In any one of these
cases, we show that a parallel laminar flow with a Poiseuille's flow profile
ceases to be a stationary Navier-Stokes flow, due to the curvature of the
background manifold
Fractional constant elasticity of variance model
This paper develops a European option pricing formula for fractional market
models. Although there exist option pricing results for a fractional
Black-Scholes model, they are established without accounting for stochastic
volatility. In this paper, a fractional version of the Constant Elasticity of
Variance (CEV) model is developed. European option pricing formula similar to
that of the classical CEV model is obtained and a volatility skew pattern is
revealed.Comment: Published at http://dx.doi.org/10.1214/074921706000001012 in the IMS
Lecture Notes Monograph Series
(http://www.imstat.org/publications/lecnotes.htm) by the Institute of
Mathematical Statistics (http://www.imstat.org
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