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Kolmogorov Inertial Range for Inhomogeneous Turbulent Flows
The Kolmogorov argument for the existence of an inertial range is reexamined in situations for which neither Fourier modes nor homogeneity and local isotropy are natural assumptions. Scaling arguments are shown which are still...
A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel
The classical Johnson–Mehl–Avrami–Kolmogorov approach for nucleation and growth models of diffusive phase transitions is revisited and applied to model the growth of ferrite in multiphase steels. For the prediction of mechanical...
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A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel
The classical Johnson–Mehl–Avrami–Kolmogorov approach for nucleation and growth models of diffusive phase transitions is revisited and applied to model the growth of ferrite in multiphase steels. For the prediction of mechanical...
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The derivation of the linear Boltzmann equation from a Rayleigh gas particle model
A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing...
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The derivation of the linear Boltzmann equation from a Rayleigh gas particle model
A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing...
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An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations
In power systems dynamics and control literature, theoretical and practical aspects of the wind turbine-generator system have received considerable attentions. The evolution equation of the induction machine encompasses a system...
Characterization of the molecular mechanisms of silicon uptake in coccolithophores.
Coccolithophores are an important group of calcifying marine phytoplankton. Although coccolithophores are not silicified, some species exhibit a requirement for Si in the calcification process. These species also possess a novel...
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Vorticity and quantum turbulence in the merging of superfluid helium nanodroplets
We have studied the merging of two identical ⁴He droplets at zero temperature, caused by their van der Waals mutual attraction. During the early stages of the merging, density structures appear which closely match the...
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Predicting phenotype transition probabilities via conditional algorithmic probability approximations.
Unravelling the structure of genotype-phenotype (GP) maps is an important problem in biology. Recently, arguments inspired by algorithmic information theory (AIT) and Kolmogorov complexity have been invoked to uncover simplicity...
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A semigroup approach to the justification of kinetic theory

This paper develops a method to rigorously show the validity of continuum description for the deterministic dynamics of many interacting particles with random initial data. We consider a hard sphere flow where particles are...

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A semigroup approach to the justification of kinetic theory

This paper develops a method to rigorously show the validity of continuum description for the deterministic dynamics of many interacting particles with random initial data. We consider a hard sphere flow where particles are...

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Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift

We study a dyadic branching Brownian motion on the real line with absorption at 0, drift μ∈R and started from a single particle at position x>0. With K(∞) the (possibly infinite) total number of individuals absorbed at 0...

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Galaxy formation with BECDM - I. Turbulence and relaxation of idealized haloes.
We present a theoretical analysis of some unexplored aspects of relaxed Bose-Einstein condensate dark matter (BECDM) haloes. This type of ultralight bosonic scalar field dark matter is a viable alternative to the standard cold...
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Travelling waves and homogeneous fragmentation
We formulate the notion of the classical Fisher–Kolmogorov–Petrovskii–Piscounov (FKPP) reaction diffusion equation associated with a homogeneous conservative fragmentation process and study its traveling waves. Specifically, we...
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Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift

We study a dyadic branching Brownian motion on the real line with absorption at 0, drift μ∈R and started from a single particle at position x>0. With K(∞) the (possibly infinite) total number of individuals absorbed at 0...

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Travelling waves and homogeneous fragmentation
We formulate the notion of the classical Fisher–Kolmogorov–Petrovskii–Piscounov (FKPP) reaction diffusion equation associated with a homogeneous conservative fragmentation process and study its traveling waves. Specifically, we...
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Bouveret Syndrome
BACKGROUND AND GOALS: Bouveret syndrome is characterized by gastroduodenal obstruction caused by an impacted gallstone. Current literature recommends endoscopic therapy as the first line of intervention despite significantly...
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