1,205 research outputs found
Weak solutions to problems involving inviscid fluids
We consider an abstract functional-differential equation derived from the
pressure-less Euler system with variable coefficients that includes several
systems of partial differential equations arising in the fluid mechanics. Using
the method of convex integration we show the existence of infinitely many weak
solutions for prescribed initial data and kinetic energy
Monogenoidean parasites of fishes associated with coral reefs in the Ras Mohammed National Park, Egypt: preliminary results
AbstractA parasitological survey of the monogenoids of 14 species of common fishes associated with the local coral reefs of the Ras Mohammed National Park, National Parks of Egypt South Sinai Sector, Egypt, was carried out from May 2003 to May 2005. The monogenoids collected during the survey included 17 species: 8 previously described species, 7 new species in established genera, and 2 new species belonging to new genera
Existence of weak solution for compressible fluid models of Korteweg type
This work is devoted to prove existence of global weak solutions for a
general isothermal model of capillary fluids derived by J.- E Dunn and J.
Serrin (1985) [6], which can be used as a phase transition model. We improve
the results of [5] by showing the existence of global weak solution in
dimension two for initial data in the energy space, close to a stable
equilibrium and with specific choices on the capillary coefficients. In
particular we are interested in capillary coefficients approximating a constant
capillarity coefficient. To finish we show the existence of global weak
solution in dimension one for a specific type of capillary coefficients with
large initial data in the energy space
Crossover from Isotropic to Directed Percolation
Percolation clusters are probably the simplest example for scale--invariant
structures which either are governed by isotropic scaling--laws
(``self--similarity'') or --- as in the case of directed percolation --- may
display anisotropic scaling behavior (``self--affinity''). Taking advantage of
the fact that both isotropic and directed bond percolation (with one preferred
direction) may be mapped onto corresponding variants of (Reggeon) field theory,
we discuss the crossover between self--similar and self--affine scaling. This
has been a long--standing and yet unsolved problem because it is accompanied by
different upper critical dimensions: for isotropic, and
for directed percolation, respectively. Using a generalized
subtraction scheme we show that this crossover may nevertheless be treated
consistently within the framework of renormalization group theory. We identify
the corresponding crossover exponent, and calculate effective exponents for
different length scales and the pair correlation function to one--loop order.
Thus we are able to predict at which characteristic anisotropy scale the
crossover should occur. The results are subject to direct tests by both
computer simulations and experiment. We emphasize the broad range of
applicability of the proposed method.Comment: 19 pages, written in RevTeX, 12 figures available upon request (from
[email protected] or [email protected]), EF/UCT--94/2, to be
published in Phys. Rev. E (May 1994
Existence and Nonexistence of Semidiscrete Shocks for a Car-Following Model in Traffic Flow
GDR Feeding of the Highly-Deformed Band in 42Ca
The gamma-ray spectra from the decay of the GDR in the compound nucleus
reaction 18O+28Si at bombarding energy of 105 MeV have been measured in an
experiment using the EUROBALL IV and HECTOR arrays. The obtained experimental
GDR strength function is highly fragmented, with a low energy (10 MeV)
component, indicating a presence of a large deformation and Coriolis effects.
In addition, the preferential feeding of the highly-deformed band in 42Ca by
this GDR low energy component is observed.Comment: 6 pages, 2 figures, Proceedings of the Zakopane2004 Symposium, to be
published in Acta Phys. Pol. B36 (2005
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