Asymptotic method of differential inequalities and its applications in nonlinear wave theory

2018 ◽  
Author(s):  
Nikolai Nikolaevich Nefedov
Keyword(s):  
Nonlinear Wave ◽  
Asymptotic Method ◽  
Wave Theory ◽  
Differential Inequalities ◽  
Method Of Differential Inequalities

Asymptotic method of differential inequalities

Equadiff 99 ◽  
2000 ◽  
pp. 112-117
Author(s):  
Nikolay N. Nefedov
Keyword(s):  
Asymptotic Method ◽  
Differential Inequalities ◽  
Method Of Differential Inequalities

scholarly journals On the rate of convergence for a class of Markovian queues with group services

2020 ◽  
Vol 28 (3) ◽  
pp. 205-215
Author(s):  
Anastasia L. Kryukova
Keyword(s):  
Rate Of Convergence ◽  
Operator Function ◽  
Computer Network ◽  
Human Life ◽  
Queueing Models ◽  
Differential Inequalities ◽  
Queuing Systems ◽  
Stationary Model ◽  
Logarithmic Norm ◽  
Method Of Differential Inequalities

There are many queuing systems that accept single arrivals, accumulate them and service only as a group. Examples of such systems exist in various areas of human life, from traffic of transport to processing requests on a computer network. Therefore, our study is actual. In this paper some class of finite Markovian queueing models with single arrivals and group services are studied. We considered the forward Kolmogorov system for corresponding class of Markov chains. The method of obtaining bounds of convergence on the rate via the notion of the logarithmic norm of a linear operator function is not applicable here. This approach gives sharp bounds for the situation of essentially non-negative matrix of the corresponding system, but in our case it does not hold. Here we use the method of differential inequalities to obtaining bounds on the rate of convergence to the limiting characteristics for the class of finite Markovian queueing models. We obtain bounds on the rate of convergence and compute the limiting characteristics for a specific non-stationary model too. Note the results can be successfully applied for modeling complex biological systems with possible single births and deaths of a group of particles.

Constant-intensity approximation in a nonlinear wave theory

2001 ◽  
Vol 3 (3) ◽  
pp. 84-87 ◽  
Author(s):  
Z H Tagiev ◽  
R J Kasumova ◽  
R A Salmanova ◽  
N V Kerimova
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory ◽  
Constant Intensity

Response Behavior of Triangular Tension Leg Platforms under Regular Waves Using Stokes Nonlinear Wave Theory

2007 ◽  
Vol 133 (3) ◽  
pp. 230-237 ◽  
Author(s):  
S. Chandrasekaran ◽  
A. K. Jain ◽  
N. R. Chandak
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory ◽  
Response Behavior ◽  
Regular Waves

Crest-Height Distribution in Nonlinear Random Wave

2009 ◽  
Author(s):  
Cuilin Li ◽  
Dingyong Yu ◽  
Yangyang Gao ◽  
Junxian Yang
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory ◽  
Distribution Functions ◽  
Theoretical Distribution ◽  
Distribution Model ◽  
Stokes Wave ◽  
Wave Crest ◽  
Linear Wave ◽  
Height Distribution ◽  
Crest Height

Many empirical and theoretical distribution functions for wave crest heights have been proposed, but there is a lack of agreement. With the development of ocean exploitation, waves crest heights represent a key point in the design of coastal structures, both fixed and floating, for shoreline protection and flood prevention. Waves crest height is the dominant parameter in assessing the likelihood of wave-in-deck impact and its resulting severe damage. Unlike wave heights, wave crests generally appear to be affected by nonlinearities; therefore, linear wave theory could not be satisfied to practical application. It is great significant to estimate a new nonlinear wave crest height distribution model correctly. This paper derives an approximation distribution formula based on Stokes wave theory. The resulting theoretical forms for nonlinear wave crest are compared with observed data and discussed in detail. The results are shown to be in good agreement. Furthermore, the results indicate that the new theoretical distribution has more accurate than other methods presented in this paper (e.g. Rayleigh distribution and Weibull distribution) and appears to have a greater range of applicability.

Tappert transformation in nonlinear wave theory

2019 ◽  
Author(s):  
Vladimir N. Serkin ◽  
T.L. Belyaeva ◽  
G. H. Corro ◽  
L. Morales-Lara ◽  
R. Pe\~{n}a-Moreno ◽  
...  
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory
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