dimensional wave
Recently Published Documents


TOTAL DOCUMENTS

997
(FIVE YEARS 121)

H-INDEX

51
(FIVE YEARS 3)

2022 ◽  
Vol 135 ◽  
pp. 26-37
Author(s):  
Guilherme Barros ◽  
Andre Pereira ◽  
Jerzy Rojek ◽  
Klaus Thoeni

Author(s):  
Dmytro Baidiuk ◽  
Lassi Paunonen

AbstractIn this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient conditions for the stability of perturbed two-dimensional wave equations on rectangular domains, a one-dimensional weakly damped Webster’s equation, and a wave equation with an acoustic boundary condition. In the case of Webster’s equation, we use our results to compute explicit numerical bounds that guarantee the polynomial stability of the perturbed equation.


2021 ◽  
Vol 5 (6) ◽  
pp. 1106-1112
Author(s):  
Aditya Firman Ihsan

Artificial neural network has become an emerging popular method to handle various problems, especially in case where it has deep multiple neural layers. In this study, we use a deep artificial neural network model to solve one-dimensional wave equation, without any external datasets. Different type of boundary conditions, i.e., Dirichlet, Neumann, and Robin, are used. We analyze the model learning capabilities in a set of settings, such as data setup and the model width and depth. We also present some discussions of advantages and disadvantages of the model in comparison with other matured existing techniques to solve wave equation.  


Author(s):  
К.А. Диденко ◽  
Т.С. Ермакова ◽  
А.И. Погорельцев ◽  
Е.В. Ракушина

В данной работе показано, как изменялось взаимодействие между тропосферой и стратосферой в последние десятилетия. Также оценено влияние таких явлений, как квазидвухлетнее колебание (КДК) на данное взаимодействие. Для этого было проанализировано распространение планетарных волн в атмосфере с использованием трехмерных потоков волновой активности, показана временная изменчивость потоков и линейный тренд. Кроме того, была оценена реакция тропосферы над Сибирью и Восточной Азией на КДК. The study of the variability of stratosphere-troposphere coupling during the last decades is considered. The influence of such phenomena as quasi-biennial oscillation (QBO) on this interaction was also estimated. For this, the propagation of planetary waves in the atmosphere was analyzed using three-dimensional wave activity fluxes. The temporal variability of fluxes and a linear trend was shown. In addition, the response of the troposphere over Siberia and East Asia to the QBO was assessed.


Author(s):  
V. I. Korzyuk ◽  
J. V. Rudzko

In this article, we study the classical solution of the mixed problem in a quarter of a plane for a one-dimensional wave equation. On the bottom boundary, the Cauchy conditions are specified, meanwhile, the second of them has a discontinuity of the first kind at one point. The smooth boundary condition, which has the first and the second order derivatives, is set at the side boundary. The solution is built using the method of characteristics in an explicit analytical form. The uniqueness is proved and the conditions are established under which a piecewise-smooth solution exists. The problem with matcing conditions is considered.


2021 ◽  
Vol 9 (2) ◽  
pp. 1-8
Author(s):  
Hiba A. Bachay ◽  
Asad H. Aldefae ◽  
Salah L. Zubaidi

Tsunamis are among the most severe natural hazards known to man, and they have claimed thousands of lives and destroyed vast amounts of property throughout history. Several previous researches studied the tsunami wave run-up and its inundation to the coasts and their effect on the coastal communities. In the current study, the Dimensional analysis (DA) method was used for formulating rational hypotheses for the complicated physical conditions connected to the wave run-up study. Pairs of empirical formulas were derived: the first one for the non-dimensional wave run-up over a sandy beach, and the other for the wave run-up over the armoured beach. Based on the obtained experimental results, which were adopted as an input data for the program of IBM SPSS Statistics, v26, both formulas showed a good agreement as the coefficients of correlation were 0.93 and 0.98, respectively.


Author(s):  
Shinichi Ishiguri

In this paper, using the two integers that describe the stationary 2-dimensional wave and the charge quantization along with the balance between the Lorentz force and electrical force, we succeed in deriving the fractional quantum Hall effect and the integer quantum Hall effect; we find that the latter exists as a special case of the former. Moreover, using the derived expression describing the fractional quantum Hall effect, a relationship between the plateau in the resistivity of the sample and the applied magnetic field is obtained. The findings of this model agree well with experimental measurements. Because the two integers that describe the stationary 2-dimensional wave and the charge quantization along with the force balance have concrete physical meanings in this work, we could provide a clear picture of the origin of both the integer quantum Hall effect and the fractional quantum Hall effect.


Sign in / Sign up

Export Citation Format

Share Document