scholarly journals Asymptotic Approximation of the Solution of a Random Boundary Value Problem Containing Small White Noise

1993 ◽  
Vol 179 (1) ◽  
pp. 232-249
Author(s):  
N.M. Xia
Keyword(s):  
Boundary Value Problem ◽  
White Noise ◽  
Asymptotic Approximation ◽  
Boundary Value ◽  
Random Boundary

scholarly journals Simulation of the process of water purification in multilayered micro porous media

2019 ◽  
pp. 61-63
Author(s):  
Olena Prysiazhniuk ◽  
Andrii Safonyk ◽  
Anna Terebus
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Boundary Value Problem ◽  
Water Purification ◽  
Asymptotic Approximation ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
The Mathematical Model ◽  
Purification Of Water

The mathematical model of the process of adsorption purification of water from impurities in multilayer microporous filters is formulated. An algorithm for numerically-asymptotic approximation of solution of the corresponding nonlinear singularly perturbed boundary value problem is developed. The developed model allows to investigate the distribution of concentration of pollutant inside the filer.

scholarly journals Some notes on a second-order random boundary value problem

2017 ◽  
Vol 22 (6) ◽  
pp. 808-820 ◽  
Author(s):  
Fairouz Tchier ◽  
◽  
Calogero Vetro ◽  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Second Order ◽  
Random Boundary

scholarly journals Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-22 ◽  
Author(s):  
Xuewei Ju ◽  
Hongli Wang ◽  
Desheng Li ◽  
Jinqiao Duan
Keyword(s):  
Boundary Value Problem ◽  
White Noise ◽  
Global Attractor ◽  
Existence And Uniqueness ◽  
Mild Solutions ◽  
Boundary Value ◽  
Uniqueness Result ◽  
Hilliard Equation ◽  
Bounded Set ◽  
Cahn Hilliard Equation

This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result. Then, we show that the existence of a stochastic global attractor which pullback attracts each bounded set in appropriate phase spaces.

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