A hyperbolic partial differential equation model for filtering turbulent flows

2019 ◽  
Vol 190 ◽  
pp. 156-167 ◽  
Author(s):  
Waleed Abdel Kareem ◽  
Seiichiro Izawa ◽  
Markus Klein ◽  
Yu Fukunishi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Turbulent Flows ◽  
Equation Model ◽  
Hyperbolic Partial Differential Equation ◽  
Differential Equation Model ◽  
Partial Differential ◽  
Partial Differential Equation Model

scholarly journals Asymptotic Behavior of Weak Solutions to the Generalized Nonlinear Partial Differential Equation Model

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Min Wu ◽  
Yousheng Wu
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Asymptotic Behavior ◽  
Weak Solutions ◽  
Nonlinear Partial Differential Equation ◽  
Equation Model ◽  
Differential Equation Model ◽  
Partial Differential ◽  
Large Perturbation ◽  
Partial Differential Equation Model

This paper investigates the asymptotic behavior of weak solutions to the generalized nonlinear partial differential equation model. It is proved that every perturbed weak solution of the perturbed generalized nonlinear partial differential equations asymptotically converges to the solution of the original system under the large perturbation.

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