New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation

2018 ◽  
Vol 15 (01) ◽  
pp. 149-174 ◽  
Author(s):  
Yoshihiro Ueda ◽  
Renjun Duan ◽  
Shuichi Kawashima
Keyword(s):  
High Frequency ◽  
Dissipative Structure ◽  
Hyperbolic Systems ◽  
Parabolic Type ◽  
Physical Models ◽  
Fourier Space ◽  
High Frequency Region ◽  
Standard Type ◽  
New Concepts ◽  
Appl Math

This paper is concerned with the weak dissipative structure for linear symmetric hyperbolic systems with relaxation. The authors of this paper had already analyzed the new dissipative structure called the regularity-loss type in [Y. Ueda, R. Duan and S. Kawashima, Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application, Arch. Ration. Mech. Anal. 205 (2012) 239–266]. Compared with the dissipative structure of the standard type in [T. Umeda, S. Kawashima and Y. Shizuta, On the devay of solutions to the linearized equations of electro-magneto-fluid dynamics, Japan J. Appl. Math. 1 (1984) 435–457; Y. Shizuta and S. Kawashima, Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation, Hokkaido Math. J. 14 (1985) 249–275], the regularity-loss type possesses a weaker structure in the high-frequency region in the Fourier space. Furthermore, there are some physical models which have more complicated structure, which we discussed in [Y. Ueda, R. Duan and S. Kawashima, Decay structure of two hyperbolic relaxation models with regularity loss, Kyoto J. Math. 57(2) (2017) 235–292]. Under this situation, we introduce new concepts and extend our previous results developed in [Y. Ueda, R. Duan and S. Kawashima, Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application, Arch. Ration. Mech. Anal. 205 (2012) 239–266] to cover those complicated models.

Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory

2021 ◽  
Vol 18 (02) ◽  
pp. 453-492
Author(s):  
Shogo Taniue ◽  
Shuichi Kawashima
Keyword(s):  
Dissipative Structure ◽  
Hyperbolic Systems ◽  
Dissipative Structures ◽  
Standard Type ◽  
Linear Diffusion ◽  
Asymptotic Profile ◽  
Diffusion Waves ◽  
Memory Type ◽  
Systems With Memory ◽  
With Memory

We study symmetric hyperbolic systems with memory-type dissipation and investigate their dissipative structures under Craftsmanship condition. We treat two cases: memory-type diffusion and memory-type relaxation, and observe that the dissipative structures of these two cases are essentially different. Namely, we show that the dissipative structure of the system with memory-type diffusion is of the standard type, while that of the system with memory-type relaxation is of the regularity-loss type. Moreover, we investigate the asymptotic profiles of the solutions for [Formula: see text]. In the diffusion case, it is proved that the systems with memory and without memory have the same asymptotic profile for [Formula: see text], which is given by the superposition of linear diffusion waves. We have the same result also in the relaxation case under enough regularity assumption on the initial data.

Anderson-Stuart Model to Analyze AC and DC Conductivity of Lithium Zinc-Silicate Glass / Glass-Ceramics

2007 ◽  
Vol 280-283 ◽  
pp. 919-924
Author(s):  
M.S. Jogad ◽  
V.K. Shrikhande ◽  
A.H. Dyama ◽  
L.A. Udachan ◽  
Govind P. Kothiyal
Keyword(s):  
High Frequency ◽  
Glass Ceramics ◽  
Low Frequency ◽  
Frequency Region ◽  
Dc Conductivity ◽  
Frequency Range ◽  
High Frequency Region ◽  
Dc Conductivities ◽  
Conductivity Variation ◽  
Different Temperatures

AC and DC conductivities have been measured by using the real (e¢) and imaginary (e¢¢) parts of the dielectric constant data of glass and glass-ceramics (GC) at different temperatures in the rage 297-642K and in the frequency range 100 Hz to 10 MHz. Using Anderson –Stuart model, we have calculated the activation energy, which is observed to be lower than that of the DC conductivity. The analysis for glass/glass-ceramics indicates that the conductivity variation with frequency exhibits an initial linear region followed by nonlinear region with a maximum in the high-frequency region. The observed frequency dependence of ionic conductivity has been analyzed within the extended Anderson–Stuart model considering both the electrostatic and elastic strain terms. In glass/glassceramic the calculations based on the Anderson-Stuart model agree with the experimental observations in the low frequency region but at higher frequencies there is departure from measured data.

Channel thermal noise of SOI MOSFET in high-frequency region

2005 ◽  
Vol 20 (2) ◽  
pp. 216-220
Author(s):  
Nirupama Kapoor ◽  
Subhasis Haldar ◽  
Mridula Gupta ◽  
R S Gupta
Keyword(s):  
High Frequency ◽  
Thermal Noise ◽  
Frequency Region ◽  
High Frequency Region ◽  
Soi Mosfet

Molekülinterne Dipolorientierung und dielektrische Absorption in verdünnter Lösung bei Mikro- und Submillimeter-Wellen. I. Primäre Amine / Intramolecular Dipole Reorientation and Dielectric Loss of Microwaves and, Submillimetrewaves in Diluted Solution I. Primary Amines

1982 ◽  
Vol 37 (2) ◽  
pp. 102-112
Author(s):  
G. Klages ◽  
E. Wieczorek
Keyword(s):  
Dipole Moment ◽  
Dielectric Loss ◽  
High Frequency ◽  
Aliphatic Amines ◽  
Primary Amines ◽  
High Frequency Region ◽  
Debye Relaxation ◽  
Diluted Solution ◽  
Wave Region ◽  
Molecular Resonances

Abstract The dielectric loss of very diluted solutions of four aromatic and three aliphatic amines in three non polar aliphatic solvents at 20 °C has been measured. The wave numbers cover 0.1 to 200 cm-1 . It is shown, how to analyse the microwave spectra of the loss factor ε″ in terms of three absorption areas, two of Debye relaxation type and the high frequency one of Lorentz resonance type. To limit the latter at its high frequency side, the extinction coefficient a has been used to determine and separate the lowest molecular resonances. From the analysis, dispersion steps and the components of the dipole moment due to the three absorption regions are calculated. Comparison with the so called optical dispersion step insures within the limits of experimental error that the absorption due to orientation of the permanent dipole moment is covered by the measured band. The long wave region belongs to the rotation of the molecules, the two others to intramolecular reorientation. In aromatic amines not all molecules of the sample are able to invert their NH2 group, but slower orientation by hindered inversion happens. On the other hand, in aliphatic amines the group is rotating and the high frequency region may be due to Foley absorption.

Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation

2021 ◽  
Vol 18 (01) ◽  
pp. 195-219
Author(s):  
Yoshihiro Ueda
Keyword(s):  
Hyperbolic System ◽  
Stability Condition ◽  
Dissipative Structure ◽  
General System ◽  
Partial Result ◽  
Symmetric Hyperbolic System ◽  
Standard Type ◽  
Classical Stability ◽  
The Stability

This paper is concerned with the dissipative structure for the linear symmetric hyperbolic system with non-symmetric relaxation. If the relaxation matrix of the system has symmetric property, Shizuta and Kawashima in 1985 introduced the suitable stability condition called Classical Stability Condition in this paper, and Umeda, Kawashima and Shizuta in 1984 analyzed the dissipative structure of the standard type. On the other hand, Ueda, Duan and Kawashima in 2012 and 2018 focused on the system with non-symmetric relaxation, and got the partial result which is the extension of known results. Furthermore, they argued the new dissipative structure called the regularity-loss type. In this situation, our purpose of this paper is to extend the stability theory introduced by Shizuta and Kawashima in 1985 and Umeda, Kawashima and Shizuta in 1984 for our general system.

Further Observations on Noise Levels in Infant Incubators

PEDIATRICS ◽  
1979 ◽  
Vol 63 (1) ◽  
pp. 100-106 ◽  
Author(s):  
Fred H. Bess ◽  
Barbara Finlayson Peek ◽  
Judy J. Chapman
Keyword(s):  
High Frequency ◽  
Impulse Noise ◽  
Life Support ◽  
Acoustic Analysis ◽  
Frequency Region ◽  
Noise Levels ◽  
Storage Unit ◽  
High Frequency Region ◽  
Different Types ◽  
Opening And Closing

The purpose of this study was to conduct an acoustic analysis of incubator noise under two conditions: when the incubator was associated with different types of life-support equipment; and when impulse noise was created by striking the side of the incubator or by opening and closing the doors of the storage unit. It was found that the life-support equipment increased the overall noise levels of incubators by as much as 15 to 20 dB. Much of this increased energy was in the high frequency region. Impulse signals created by striking the side of the incubator ranged from 130 to 140 dB. A representative impulse for opening the incubator was 92.8 dB, whereas closing the door produced a peak amplitude of 114 dB.

scholarly journals Marked Enhancement of Roll-Off Frequency in FeCoN Synthetic Antiferromagnetic Films Deposited by Oblique Incidence

Materials ◽  
2019 ◽  
Vol 12 (14) ◽  
pp. 2328
Author(s):  
Luran Zhang ◽  
Dandan Gao ◽  
Huan Liu ◽  
Jiyang Xie ◽  
Wanbiao Hu
Keyword(s):  
High Frequency ◽  
Oblique Incidence ◽  
Magnetic Thin Films ◽  
Soft Magnetic ◽  
High Frequency Region ◽  
Glass Substrates ◽  
Marked Enhancement ◽  
Oblique Deposition ◽  
Potential Applications ◽  
Sputtering System

A series of FeCoN films were successfully deposited on glass substrates in a magnetron sputtering system. Using oblique incidence method and FeCoN/Ru/FeCoN synthetic antiferromagnetic (SAF) structure, two additional anisotropies energy were introduced: oblique incidence anisotropy and exchange anisotropy energy, which marked enhancement of the effective magnetic anisotropy (Hk). The increment of Hk results in a significant improvement in the roll-off frequency of these films. The roll-off frequency of FeCoN/Ru/FeCoN films with SAF structure can reach up to 8.6 GHz. A feasible approach to conveniently controlling Hk of soft magnetic thin films by using oblique deposition and SAF structure can further improve their properties for the potential applications in the high frequency region.

Carrier-envelope-phase effect on laser-driven bound-bound transitions in the high-frequency region

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
Zhen Zhai ◽  
Dian Peng ◽  
Xi Zhao ◽  
Fuming Guo ◽  
Yujun Yang ◽  
...  
Keyword(s):  
High Frequency ◽  
Frequency Region ◽  
Phase Effect ◽  
High Frequency Region ◽  
Carrier Envelope Phase
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