48,194 research outputs found
Existence and asymptotic behavior of solutions to the multidimensional compressible Euler equations with damping
In this paper, the existence and asymptotic behavior of solutions to
the multidimensional compressible Euler equations with damping on the framework
of Besov space are considered. We weaken the regularity requirement of the
initial data, and improve the well-posedness results of Sideris-Thomases-Wang
(Comm.P.D.E. 28 (2003) 953). The global existence lies on a crucial a-priori
estimate which is proved by the spectral localization method. The main analytic
tools are the Littlewood-Paley decomposition and Bony's para-product formula.Comment: 18 page
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The Relationship between Incident Wave Energy and Seacliff Erosion Rates: San Diego County, California
文學史的編撰與香港文學在華文文學中的定位 = The writing of literary history and the position of Hong Kong literature in Sinophone literature
New Development of Monte Carlo Techniques for Studying Bottle-brush Polymers
Due to the complex characteristics of bottle-brush polymers, it became a
challenge to develop an efficient algorithm for studying such macromolecules
under various solvent conditions or some constraints in the space by using
computer simulations. In the limit of a bottle-brush polymer with a rather
stiff backbone (straight rigid backbone), we generalize the variant of the
biased chain growth algorithm, the pruned-enriched Rosenbluth method, for
simulating polymers with complex architecture, from star polymers to
bottle-brush polymers, on the simple cubic lattice. With the high statistics of
our Monte Carlo results, we check the theoretical predictions of side chain
behavior and radial monomer density profile. For the comparison of the
experimental data for bottle-brush polymers with a flexible backbone and
flexible side chains, based on the bond fluctuation model we propose another
fast Monte Carlo algorithm combining the local moves, the pivot move, and an
adjustable simulation lattice box. By monitoring the autocorrelation functions
of gyration radii for the side chains and for the backbone, we see that for
fixed side chain length there is no change in the behavior of these two
functions as the backbone length increases. Our extensive results cover the
range which is accessible for the comparison to experimental data and for the
checking of the theoretically predicted scaling laws.Comment: 9 pages, 10 Figures, Proceedings of the 24nd Workshop on Recent
Developments in Computer Simulation Studies in Condensed Matter Physics, Feb
21-25, 2011, Athens, Georgia, US
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