scholarly journals Modulational Stability of Envelope Soliton in a Quantum Electron-Ion Plasma in Three Dimension - A generalised Nonlinear Schr ̈odinger Equ ation in 3D

2020 ◽  
Author(s):  
asesh roy chowdhury ◽  
Basudev Ghosh ◽  
Shatadru Chaudhuri∗
Keyword(s):  
Dusty Plasma ◽  
Stability Condition ◽  
Three Dimension ◽  
Envelope Soliton ◽  
Plasma Parameters ◽  
Ion Plasma ◽  
Quantum Electron ◽  
Modulational Stability ◽  
The Stability ◽  
Dispersive Term

Modulational stability of envelope soliton is studied in a quantum dusty plasma in three dimension.<br>The Krylov-Bogoliubov-Mitropolsky method is applied to the three dimension plasma governing<br>equations. A generalised form of Nonlinear Schr¨odinger equation is obtained whose dispersive term<br>has a tensorial character. Stability condition is deduced abintio and the stability zones are plotted<br>as a function of plasma parameters

scholarly journals Modulational Stability of Envelope Soliton in a Quantum Electron-Ion Plasma in Three Dimension - A generalised Nonlinear Schr ̈odinger Equ ation in 3D

2020 ◽  
Author(s):  
asesh roy chowdhury ◽  
Basudev Ghosh ◽  
Shatadru Chaudhuri∗
Keyword(s):  
Dusty Plasma ◽  
Stability Condition ◽  
Three Dimension ◽  
Envelope Soliton ◽  
Plasma Parameters ◽  
Ion Plasma ◽  
Quantum Electron ◽  
Modulational Stability ◽  
The Stability ◽  
Dispersive Term

Modulational stability of envelope soliton is studied in a quantum dusty plasma in three dimension.<br>The Krylov-Bogoliubov-Mitropolsky method is applied to the three dimension plasma governing<br>equations. A generalised form of Nonlinear Schr¨odinger equation is obtained whose dispersive term<br>has a tensorial character. Stability condition is deduced abintio and the stability zones are plotted<br>as a function of plasma parameters

scholarly journals Computing the Exact Number of Similarity Classes in the Longest Edge Bisection of Tetrahedra

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1447
Author(s):  
Jose P. Suárez ◽  
Agustín Trujillo ◽  
Tania Moreno
Keyword(s):  
Data Structure ◽  
Stability Condition ◽  
Open Problem ◽  
Integer Arithmetic ◽  
Exact Number ◽  
Similarity Class ◽  
The Stability ◽  
High Level ◽  
The Cost

Showing whether the longest-edge (LE) bisection of tetrahedra meshes degenerates the stability condition or not is still an open problem. Some reasons, in part, are due to the cost for achieving the computation of similarity classes of millions of tetrahedra. We prove the existence of tetrahedra where the LE bisection introduces, at most, 37 similarity classes. This family of new tetrahedra was roughly pointed out by Adler in 1983. However, as far as we know, there has been no evidence confirming its existence. We also introduce a new data structure and algorithm for computing the number of similarity tetrahedral classes based on integer arithmetic, storing only the square of edges. The algorithm lets us perform compact and efficient high-level similarity class computations with a cost that is only dependent on the number of similarity classes.

scholarly journals Stability Analysis of Distributed Order Fractional Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
H. Saberi Najafi ◽  
A. Refahi Sheikhani ◽  
A. Ansari
Keyword(s):  
Stability Analysis ◽  
Characteristic Function ◽  
Differential Equations ◽  
Density Function ◽  
Robust Stability ◽  
Fractional Differential Equations ◽  
Stability Condition ◽  
Fractional Differential ◽  
The Stability ◽  
Distributed Order

We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix with respect to the density function. Moreover, we check the stability of a distributed order fractional WINDMI system to illustrate the validity of proposed procedure.

Damping of dark envelope soliton in a viscous bounded dusty plasma

2021 ◽  
Author(s):  
Lin Wei ◽  
Heng Zhang ◽  
Juan-Fang Han ◽  
Fang-Ping Wang ◽  
Yang Yang ◽  
...  
Keyword(s):  
Dusty Plasma ◽  
Envelope Soliton

scholarly journals EFFECT OF WEATHERED SURFACE CRUST LAYER ON STABILITY OF MUAR TRIAL EMBANKMENT

2015 ◽  
Vol 76 (2) ◽  
Author(s):  
Ali Sobhanmanesh ◽  
Ramli Nazir ◽  
Nader SaadatkhaH
Keyword(s):  
Deformation Behavior ◽  
Three Dimension ◽  
Crust Layer ◽  
Staged Construction ◽  
Weathered Crust ◽  
Dimension 2 ◽  
Embankment Height ◽  
The Stability ◽  
Positive Effect ◽  
Surface Crust

his paper attempts to evaluate the effect of surface crust layer on the stability and deformation behavior of embankment. A full-scale case history trial embankment constructed on Muar flat in the valley of the Muar River in Malaysia was modeled and analyzed. The Muar trial embankment was simulated in two- and three-dimension (2-D and 3-D) utilizing finite element programs PLAXIS 2-D AND PLAXIS 3-D FOUNDATION, using staged-construction procedure. Sensitivity analysis was performed by varying the thickness of weathered crust layer beneath the embankment fill, i.e., three models of embankment with no surface crust, 1 m surface crust and 2 m surface crust layer. Predictions were made for the vertical and the horizontal displacements of the embankment. Factor of safety for each meter increase in the embankment height was defined until the failure is reached. It is concluded that the bearing capacity of the ground and the deformation behavior of the embankment were sensitive to the thickness of the weathered crust layer. The surface crust layer has a positive effect on the stability of the embankment and consequently reduces the settlement and increases the failure height of the embankment fill up to 37%.

On multitype branching processes in a random environment

1981 ◽  
Vol 13 (3) ◽  
pp. 464-497 ◽  
Author(s):  
David Tanny
Keyword(s):  
Random Environment ◽  
Stability Condition ◽  
Branching Processes ◽  
Classification Theorem ◽  
Regularity Conditions ◽  
Exponential Rate ◽  
Probabilistic Computation ◽  
Multitype Branching Processes ◽  
The Stability ◽  
Functional Iteration

This paper is concerned with the growth of multitype branching processes in a random environment (mbpre). It is shown that, under suitable regularity conditions, the process either explodes of becomes extinct. A classification theorem is given delineating the cases of explosion or extinction. Furthermore, it is shown that the process grows at an exponential rate on its set of non-extinction provided the process is stable. Criteria is given for non-certain extinction of the mbpre to occur, and an example shows that the stability condition cannot be removed. The method of proof used, in general, is direct probabilistic computation rather than the classical functional iteration techniques. Growth theorems are first proved for increasing mbpre and subsequently transferred to general mbpre using the associated mbpre and the reduced mbpre.

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