Blow‐up for Joseph–Egri equation: Theoretical approach and numerical analysis

2020 ◽  
Vol 43 (11) ◽  
pp. 6771-6800
Author(s):  
Maxim O. Korpusov ◽  
Dmitry V. Lukyanenko ◽  
Alexander A. Panin
Keyword(s):  
Numerical Analysis ◽  
Theoretical Approach ◽  
Blow Up

scholarly journals Blow-up for one Sobolev problem: Theoretical approach and numerical analysis

2016 ◽  
Vol 442 (2) ◽  
pp. 451-468 ◽  
Author(s):  
M.O. Korpusov ◽  
D.V. Lukyanenko ◽  
A.A. Panin ◽  
E.V. Yushkov
Keyword(s):  
Numerical Analysis ◽  
Theoretical Approach ◽  
Blow Up ◽  
Sobolev Problem

Influence of Dynamic Viscosity on Automatic Dynamic Balance

2010 ◽  
Vol 164 ◽  
pp. 127-132 ◽  
Author(s):  
Marijonas Bogdevicius ◽  
Jolanta Janutėnienė
Keyword(s):  
Numerical Analysis ◽  
Theoretical Approach ◽  
Dynamic Viscosity ◽  
Lagrange Equation ◽  
Dynamic Balance ◽  
Viscosity Coefficient ◽  
Dynamic Equations ◽  
Linear Character ◽  
Optimal Value ◽  
And Behavior

The paper deals with analysis of dynamic stability and behavior of automatic dynamic balance (ADB) by applying theoretical approach. Differential equations of the considered system were established using Lagrange equation. Numerical analysis of the dynamic equations was performed and influence of dynamic viscosity coefficient on self-balancing process was estimated. It is demonstrated that the balancing time decreases in non-linear character. The optimal value of dynamic viscosity for achieving minimal balancing time can be determined for the analyzed system.

Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis

2016 ◽  
Vol 40 (7) ◽  
pp. 2336-2346 ◽  
Author(s):  
Maxim Olegovich Korpusov ◽  
Dmitry V. Lukyanenko ◽  
Alexander A. Panin ◽  
Egor V. Yushkov
Keyword(s):  
Numerical Analysis ◽  
Space Charge ◽  
Blow Up

scholarly journals Nonlinear properties of hybrid construction of coatings of buildings and structures

2020 ◽  
Vol 217 ◽  
pp. 01001
Author(s):  
Vladimir Egorov ◽  
Grigory Belyy
Keyword(s):  
Numerical Analysis ◽  
Theoretical Approach ◽  
Strain State ◽  
Vibration Absorber ◽  
Stress And Strain ◽  
Internal Vibration ◽  
Nonlinear Properties ◽  
Structural Nonlinearity ◽  
Alternate Switching ◽  
Hybrid Construction

Stress and strain state of hybrid (combined) systems including flexible and rigid elements is studied in the article. Theoretical approach is presented. The feature of the systems studied is described, i.e. structural nonlinearity. Numerical analysis is presented. It is pointed out that vibrations of such structures upon conditions of resonance differ from those of classical bar structures, i.e. if for rigid bar systems the amplitudes of vibration at resonant disturbance increase monotonously, in combined (hybrid) system alternate switching off tie-bars stabilizes the amplitude of vibration at a certain value and transfers vibrations in the beating mode that can be considered as an internal vibration absorber.

Calculation of Combined Structure and Installation Roof Systems Taking into Account Structural Nonlinearity Factor

2015 ◽  
Vol 725-726 ◽  
pp. 734-739 ◽  
Author(s):  
Vladimir Egorov ◽  
Grigory Belyy
Keyword(s):  
Numerical Analysis ◽  
Theoretical Approach ◽  
Strain State ◽  
Vibration Absorber ◽  
Stress And Strain ◽  
Internal Vibration ◽  
Nonlinearity Factor ◽  
Structural Nonlinearity ◽  
Combined Structure ◽  
Alternate Switching

Stress and strain state of hybrid (combined) systems including flexible and rigid elements is studied in the article. Theoretical approach is presented. The feature of the systems studied is described, i.e. structural nonlinearity. Numerical analysis is presented. It is pointed out that vibrations of such structures upon conditions of resonance differ from those of classical bar structures, i.e. if for rigid bar systems the amplitudes of vibration at resonant disturbance increase monotonously, in combined (hybrid) system alternate switching off tie-bars stabilizes the amplitude of vibration at a certain value and transfers vibrations in the beating mode that can be considered as an internal vibration absorber.

Differential polarization imaging of sickled cells

1988 ◽  
Vol 46 ◽  
pp. 62-63
Author(s):  
Marcos F. Maestre
Keyword(s):  
Optical Properties ◽  
Theoretical Approach ◽  
Polarized Light ◽  
Polarization Microscopy ◽  
Spectroscopic Techniques ◽  
Polarization Imaging ◽  
Circularly Polarized Light ◽  
Circularly Polarized ◽  
Microscopic Scale ◽  
Chiral Structures

Recently we have developed a form of polarization microscopy that forms images using optical properties that have previously been limited to macroscopic samples. This has given us a new window into the distribution of structure on a microscopic scale. We have coined the name differential polarization microscopy to identify the images obtained that are due to certain polarization dependent effects. Differential polarization microscopy has its origins in various spectroscopic techniques that have been used to study longer range structures in solution as well as solids. The differential scattering of circularly polarized light has been shown to be dependent on the long range chiral order, both theoretically and experimentally. The same theoretical approach was used to show that images due to differential scattering of circularly polarized light will give images dependent on chiral structures. With large helices (greater than the wavelength of light) the pitch and radius of the helix could be measured directly from these images.

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