Strongly nonlinear coupled system in Orlicz–Sobolev spaces without $$\Delta _2$$-condition

2021 ◽  
Author(s):  
Rabab Elarabi
Keyword(s):  
Sobolev Spaces ◽  
Coupled System ◽  
Strongly Nonlinear ◽  
Nonlinear Coupled System

scholarly journals Quasi-stability and continuity of attractors for nonlinear system of wave equations

2021 ◽  
Vol 8 (1) ◽  
pp. 27-45
Author(s):  
M. M. Freitas ◽  
M. J. Dos Santos ◽  
A. J. A. Ramos ◽  
M. S. Vinhote ◽  
M. L. Santos
Keyword(s):  
Wave Equations ◽  
Coupled System ◽  
Global Attractors ◽  
Time Behavior ◽  
Exponential Attractors ◽  
Small Perturbations ◽  
Recent Approach ◽  
Nonlinear Coupled System ◽  
Long Time ◽  
External Forces

Abstract In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove that this dynamical system is quasi-stable by establishing a quasistability estimate, as consequence, the existence of global and exponential attractors is proved. Finally, we investigate the upper and lower semicontinuity of global attractors under autonomous perturbations.

Capacity Solution to a Nonlinear Elliptic Coupled System in Orlicz–Sobolev Spaces

2020 ◽  
Vol 17 (2) ◽  
Author(s):  
H. Moussa ◽  
F. Ortegón Gallego ◽  
M. Rhoudaf
Keyword(s):  
Sobolev Spaces ◽  
Coupled System ◽  
Nonlinear Elliptic

scholarly journals On the Solution of an Imprecisely Defined Nonlinear Time-Fractional Dynamical Model of Marriage

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 689 ◽  
Author(s):  
Rajarama Mohan Jena ◽  
Snehashish Chakraverty ◽  
Dumitru Baleanu
Keyword(s):  
Dynamical System ◽  
Fuzzy Numbers ◽  
Initial Conditions ◽  
Coupled System ◽  
Dynamical Model ◽  
Transform Method ◽  
System Parameters ◽  
Nonlinear Coupled System ◽  
Differential Transform ◽  
Fractional Dynamical System

The present paper investigates the numerical solution of an imprecisely defined nonlinear coupled time-fractional dynamical model of marriage (FDMM). Uncertainties are assumed to exist in the dynamical system parameters, as well as in the initial conditions that are formulated by triangular normalized fuzzy sets. The corresponding fractional dynamical system has first been converted to an interval-based fuzzy nonlinear coupled system with the help of a single-parametric gamma-cut form. Further, the double-parametric form (DPF) of fuzzy numbers has been used to handle the uncertainty. The fractional reduced differential transform method (FRDTM) has been applied to this transformed DPF system for obtaining the approximate solution of the FDMM. Validation of this method was ensured by comparing it with other methods taking the gamma-cut as being equal to one.

Stability for a nonlinear coupled system of elasticity and thermoelasticity with second sound

2014 ◽  
Vol 13 (01) ◽  
pp. 45-75 ◽  
Author(s):  
Yi-Ping Meng ◽  
Ya-Guang Wang
Keyword(s):  
Wave Equations ◽  
Coupled System ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Middle Part ◽  
Second Sound ◽  
Qualitative Properties ◽  
Thermal Change ◽  
Nonlinear Coupled System ◽  
Initial Boundary Value

In this paper, we study the qualitative properties of solutions to a nonlinear system describing the motion of a bar in which the middle part is sensitive to the thermal change, while the outer parts are insensible. By the energy method, we show that the initial boundary value problem for this coupled system of wave equations and thermoelastic equations with second sound in one space variable is well-posed globally in time, and it is also stable exponentially as the time goes to infinity when the wave speed of the outer parts is properly large, under certain restrictions on the initial data and the growth rate of the nonlinear terms.

scholarly journals Synchronization Behavior of Two Co-rotating Rotors in a Nonlinear Coupled System

2020 ◽  
Vol 56 (23) ◽  
pp. 150
Author(s):  
DU Mingjun ◽  
HOU Yongjun ◽  
WU Yi ◽  
YU Cheng ◽  
HOU Duyu
Keyword(s):  
Coupled System ◽  
Nonlinear Coupled System
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