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Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
A Mathematical Model Of Bacterial Aerotaxis, Borbala Mazzag, Alex Mogilner
A Mathematical Model Of Bacterial Aerotaxis, Borbala Mazzag, Alex Mogilner
Borbala Mazzag
No abstract provided.
Statistical Properties Of Composite Distortions In Hfc Systems And Their Effects On Digital Channels, Ron D. Katznelson
Statistical Properties Of Composite Distortions In Hfc Systems And Their Effects On Digital Channels, Ron D. Katznelson
Ron D. Katznelson
The statistical properties of Composite Triple Beat (CTB) and Composite Second Order (CSO) distortion terms associated with the analog channels carried on Hybrid Fiber Coax (HFC) are presented. Both simulation and measurement results show that such distortion components falling on individual channels have amplitude Probability Density Function that is nearly Rayleigh distributed (having a Standard Deviation of 5.7 dB). It is shown that both CTB and CSO components have peak envelope power fluctuations that exceed their average (measured) power levels by more than 15 dB. The temporal statistical properties of these distortion components demonstrate peak envelope power fluctuations with characteristic …
On The Existence Of Multiple Positive Solutions For A Semilinear Problem In Exterior Domains, Yinbin Deng, Yi Li
On The Existence Of Multiple Positive Solutions For A Semilinear Problem In Exterior Domains, Yinbin Deng, Yi Li
Yi Li
In this paper, we study the existence and nonexistence of multiple positive solutions for problem where Ω=N\ω is an exterior domain in N, ω⊂N is a bounded domain with smooth boundary, and N>2. μ⩾0, p>1 are some given constants. K(x) satisfies: K(x)∈Cαloc(Ω) and ∃C, ϵ, M>0 such that |K(x)|⩽C |x|l for any |x|⩾M, with l⩽ −2−ϵ. Some existence and …
Laplace Transform Of Spherical Bessel Functions, Andrei Ludu
Laplace Transform Of Spherical Bessel Functions, Andrei Ludu
Andrei Ludu
No abstract provided.
Low-Cost Manufacturing Process For Nanostructured Metals And Alloys, Travis L. Brown, Srinivasan Swaminathan, Srinivasan Chandrasekar, W. Dale Compton, Alexander H. King, Kevin P. Trumble
Low-Cost Manufacturing Process For Nanostructured Metals And Alloys, Travis L. Brown, Srinivasan Swaminathan, Srinivasan Chandrasekar, W. Dale Compton, Alexander H. King, Kevin P. Trumble
Alexander H. King
In spite of their interesting properties, nanostructured materials have found limited uses because of the cost of preparation and the limited range of materials that can be synthesized. It has been shown that most of these limitations can be overcome by subjecting a material to large-scale deformation, as occurs during common machining operations. The chips produced during lathe machining of a variety of pure metals, steels, and other alloys are shown to be nanostructured with grain (crystal) sizes between 100 and 800 nm. The hardness of the chips is found to be significantly greater than that of the bulk material.
Resonances And Superlattice Pattern Stabilization In Two-Frequency Forced Faraday Wave, Chad M. Topaz, Mary Silber
Resonances And Superlattice Pattern Stabilization In Two-Frequency Forced Faraday Wave, Chad M. Topaz, Mary Silber
Chad M. Topaz
We investigate the role weakly damped modes play in the selection of Faraday wave patterns forced with rationally related frequency components $m\omega$ and $n\omega$. We use symmetry considerations to argue for the special importance of the weakly damped modes oscillating with twice the frequency of the critical mode, and those oscillating primarily with the “difference frequency” $|n−m| \omega$ and the “sum frequency” $(n+m) \omega$. We then perform a weakly nonlinear analysis using equations of Zhang and Viñals [J. Fluid Mech. 336 (1997) 301] which apply to small-amplitude waves on weakly inviscid, deep fluid layers. For weak damping and forcing and …
Mathematical Models In Biology, Borbala Mazzag
Analysis And Classification Of Nonlinear Dispersive Evolution Equations In The Potential Representation, Andrei Ludu
Analysis And Classification Of Nonlinear Dispersive Evolution Equations In The Potential Representation, Andrei Ludu
Andrei Ludu
No abstract provided.
Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, And The Boundary Element Method, Tian-Xiao He
Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, And The Boundary Element Method, Tian-Xiao He
Tian-Xiao He
This paper discusses the connection between boundary quadrature formulas constructed by using solutions of partial differential equations and boundary element schemes.