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Self-organization of decaying surface corrugations:A numerical study
Self-organization decaying surface corrugations numerical study
2015/10/16
We study numerically the interplay of surface topography and kinetics in the relaxation of crystal surface corrugations below roughening in two independent space dimensions. The kinetic processes are ...
DISCRETE AND CONTINUUM RELAXATION DYNAMICS OF FACETED CRYSTAL SURFACE IN EVAPORATION MODELS
crystal surface evaporation facet Burton–Cabrera–Frank model subgradient formalism free-boundary problem shock
2015/10/16
We study linkages of two scales in the relaxation of an axisymmetric crystal with a facet in evaporation-condensation kinetics. The macroscale evolution is driven by the motion of concentric circular,...
Existence d'un feuilletage positivement transverse a un homeomorphisme de surface
Surface homeomorphism topological foliation transverse to the dynamics equivariant version of Brouwer's plane translation theorem
2012/6/14
Let F be a homeomorphism of an oriented surface M that is isotopic to the identity. Le Calvez proved that if F admits a lift without fixed points to the universal covering of M, then there exists a to...
Bernoulli equilibrium states for surface diffeomorphisms
Equilibrium measures Countable Markov partitions Bernoulli
2011/9/14
Abstract: Suppose f is a $C^{1+\alpha}$ surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure theor...
Observation of depth-induced properties in wave turbulence on the surface of a fluid
wave turbulence fluid surface depth-induced properties
2011/7/7
We report the observation of changes in the wave turbulence properties of gravity-capillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wav...
Pole solutions in formation of the Saffman-Teylor "finger" with one half of the channel width without surface tension
surface tension integro-differential motion equations Laplacian growth
2011/7/5
Laplacian growth without surface tension has nice analytical solutions which replace its complex integro-differential motion equations by simple differential equations of poles motion in a complex pla...
Nielsen equivalence of generating sets for closed surface groups
Nielsen equivalence of generating sets closed surface groups
2010/11/29
Generating sets for closed surfaces are either reducible or Nielsen equivalent to a standard generating set.