Application of the theory of stochastic processes possessing finite propagation velocity to transport problems in polymeric systems

2018 ◽  
Author(s):  
Antonio Brasiello ◽  
Alessandra Adrover ◽  
Silvestro Crescitelli ◽  
Massimiliano Giona
Keyword(s):  
Stochastic Processes ◽  
Propagation Velocity ◽  
Polymeric Systems ◽  
Finite Propagation ◽  
Transport Problems

Fractal-time stochastic processes and dynamic functions of polymeric systems

1990 ◽  
Vol 29 (2) ◽  
pp. 137-144 ◽  
Author(s):  
J. Stastna ◽  
D. De Kee ◽  
M. Powley ◽  
P. Schümmer ◽  
B. Otten
Keyword(s):  
Stochastic Processes ◽  
Polymeric Systems ◽  
Fractal Time

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]

scholarly journals Swelling and Drug Release in Polymers through the Theory of Poisson–Kac Stochastic Processes

Gels ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 32
Author(s):  
Alessandra Adrover ◽  
Claudia Venditti ◽  
Massimiliano Giona
Keyword(s):  
Relaxation Time ◽  
Drug Release ◽  
Stochastic Processes ◽  
Moving Boundary ◽  
Temporal Evolution ◽  
Release Kinetics ◽  
Sorption Kinetics ◽  
Transport Models ◽  
Polymeric Systems ◽  
Polymer Relaxation

Experiments on swelling and solute transport in polymeric systems clearly indicate that the classical parabolic models fail to predict typical non-Fickian features of sorption kinetics. The formulation of moving-boundary transport models for solvent penetration and drug release in swelling polymeric systems is addressed hereby employing the theory of Poisson–Kac stochastic processes possessing finite propagation velocity. The hyperbolic continuous equations deriving from Poisson–Kac processes are extended to include the description of the temporal evolution of both the Glass–Gel and the Gel–Solvent interfaces. The influence of polymer relaxation time on sorption curves and drug release kinetics is addressed in detail.

Sign in / Sign up

Export Citation Format

Share Document