Instability and Chaos in the Macroscopically Inhomogeneous Media with Weak Dissipation

2016 ◽  
pp. 253-263
Author(s):  
Andrei A. Snarskii ◽  
Igor V. Bezsudnov ◽  
Vladimir A. Sevryukov ◽  
Alexander Morozovskiy ◽  
Joseph Malinsky
Keyword(s):  
Inhomogeneous Media ◽  
Weak Dissipation

scholarly journals Modelling of torsional wave propagation in a two-layer anisotropic inhomogeneous media

2021 ◽  
Vol 1849 (1) ◽  
pp. 012013
Author(s):  
Tapas Ranjan Panigrahi ◽  
Sumit Kumar Vishwakarma ◽  
Dinesh Kumar Majhi
Keyword(s):  
Wave Propagation ◽  
Inhomogeneous Media ◽  
Torsional Wave

scholarly journals Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation

2020 ◽  
Vol 18 (1) ◽  
pp. 1302-1316
Author(s):  
Guobing Fan ◽  
Zhifeng Yang
Keyword(s):  
Boundary Condition ◽  
Optimal Control ◽  
Weak Solution ◽  
Existence And Uniqueness ◽  
Optimal Solution ◽  
Dispersive Equation ◽  
Weak Dissipation ◽  
Formula Type

Abstract In this paper, we investigate the problem for optimal control of a viscous generalized \theta -type dispersive equation (VG \theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation. Then, we present the optimal control of a VG \theta -type DE with weak dissipation under boundary condition and prove the existence of optimal solution to the problem.

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