Finite propagation velocity and essential self-adjointness of certain differential operators

1979 ◽  
Vol 13 (3) ◽  
pp. 235-237
Author(s):  
Yu. B. Orochko
Keyword(s):  
Propagation Velocity ◽  
Differential Operators ◽  
Finite Propagation

scholarly journals Protector control: Extension to a class of nonlinear distributed systems

2010 ◽  
Vol 20 (3) ◽  
pp. 427-443 ◽  
Author(s):  
Youssef Qaraai ◽  
Abdes Bernoussi
Keyword(s):  
Distributed Systems ◽  
Nonlinear Systems ◽  
Propagation Velocity ◽  
Delay System ◽  
Linear Case ◽  
Initial State ◽  
Finite Propagation ◽  
Control Scheme ◽  
Nonlinear Delay

Protector control: Extension to a class of nonlinear distributed systemsWe present an extension of the protector control scheme introduced for the linear case in a previous work to a class of nonlinear systems. The systems considered are assumed to have a finite propagation velocity while the initial state is subject to a spreading disturbance. We characterize such a control first by using the remediability approach to the resulting nonlinear delay system, and then by coupling families of transformations and the delay approach. To illustrate this work, we provide a simulation example.

THE EFFECT OF A FINITE PROPAGATION VELOCITY ON TURBULENT MASS TRANSFER NEAR A RIGID INTERFACE†

1981 ◽  
Vol 13 (1-3) ◽  
pp. 91-110 ◽  
Author(s):  
H.T. YAO ◽  
C.P. CHEN ◽  
R.W. SNELLENBERGER ◽  
P.E. WOOD ◽  
C.A. PETTY
Keyword(s):  
Mass Transfer ◽  
Propagation Velocity ◽  
Finite Propagation ◽  
Rigid Interface ◽  
Turbulent Mass Transfer

Fourier Versus Non-Fourier Heat Conduction in Materials With a Nonhomogeneous Inner Structure

1999 ◽  
Vol 122 (2) ◽  
pp. 363-365 ◽  
Author(s):  
H. Herwig ◽  
K. Beckert
Keyword(s):  
Heat Conduction ◽  
Experimental Evidence ◽  
Propagation Velocity ◽  
The Other ◽  
Finite Propagation ◽  
Fourier Heat Conduction ◽  
Present Experimental Evidence ◽  
Hyperbolic Wave

Distinct non-Fourier behavior in terms of finite propagation velocity and a hyperbolic wave like character of heat conduction has been reported for certain materials in several studies published recently. However, there is some doubt concerning these findings. The objective of this note is to present experimental evidence for a perfectly Fourier-like behavior of heat conduction in those materials with nonhomogeneous inner structure that have been under investigation in the other studies. This controversy needs to be settled in order to understand the physics of heat conduction in these materials. [S0022-1481(00)00102-X]

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