36,925 research outputs found
Faceted anomalous scaling in the epitaxial growth of semiconductor films
We apply the generic dynamical scaling theory (GDST) to the surfaces of CdTe
polycrystalline films grown in glass substrates. The analysed data were
obtained with a stylus profiler with an estimated resolution lateral resolution
of m. Both real two-point correlation function and power spectrum
analyses were done. We found that the GDST applied to the surface power spectra
foresees faceted morphology in contrast with the self-affine surface indicated
by the local roughness exponent found via the height-height correlation
function. This inconsistency is explained in terms of convolution effects
resulting from the finite size of the probe tip used to scan the surfaces. High
resolution AFM images corroborates the predictions of GDST.Comment: to appear in Europhysics Letter
Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids
In this work we consider the Keller-Segel system coupled with Navier-Stokes
equations in for . We prove the global well-posedness
with small initial data in Besov-Morrey spaces. Our initial data class extends
previous ones found in the literature such as that obtained by
Kozono-Miura-Sugiyama (J. Funct. Anal. 2016). It allows to consider initial
cell density and fluid velocity concentrated on smooth curves or at points
depending on the spatial dimension. Self-similar solutions are obtained
depending on the homogeneity of the initial data and considering the case of
chemical attractant without degradation rate. Moreover, we analyze the
asymptotic stability of solutions at infinity and obtain a class of
asymptotically self-similar ones.Comment: 22 pages. Some typos have been corrected. Some references have been
updated/correcte
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