7,561 research outputs found
Global regularity properties of steady shear thinning flows
In this paper we study the regularity of weak solutions to systems of
p-Stokes type, describing the motion of some shear thinning fluids in certain
steady regimes. In particular we address the problem of regularity up to the
boundary improving previous results especially in terms of the allowed range
for the parameter p
The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces
The present paper is devoted to the study of a zero-Mach number system with
heat conduction but no viscosity. We work in the framework of general
non-homogeneous Besov spaces , with and
for any , which can be embedded into the class of globally Lipschitz
functions.
We prove a local in time well-posedness result in these classes for general
initial densities and velocity fields. Moreover, we are able to show a
continuation criterion and a lower bound for the lifespan of the solutions.
The proof of the results relies on Littlewood-Paley decomposition and
paradifferential calculus, and on refined commutator estimates in Chemin-Lerner
spaces.Comment: This submission supersedes the first part of arXiv:1305.113
Efficient Estimation of Sensitivity Indices
In this paper we address the problem of efficient estimation of Sobol
sensitivy indices. First, we focus on general functional integrals of
conditional moments of the form \E(\psi(\E(\varphi(Y)|X))) where is a
random vector with joint density and and are functions
that are differentiable enough. In particular, we show that asymptotical
efficient estimation of this functional boils down to the estimation of crossed
quadratic functionals. An efficient estimate of first-order sensitivity indices
is then derived as a special case. We investigate its properties on several
analytical functions and illustrate its interest on a reservoir engineering
case.Comment: 41 page
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