Title :
On correct statement of singular BVPs for autonomous systems of nonlinear ODEs with the applications to hydrodynamics
Author :
Konyukhova, Nadezhda B. ; Sukov, Alexander L.
Author_Institution :
Dorodnicyn Comput. Centre of RAS, Moscow, Russia
Abstract :
This paper deals with some autonomous systems (ASs) of nonlinear ordinary differential equations (ODEs) arising from incompressible fluid mechanics. For these systems defined on a (semi)infinite interval and having in a phase space an infinite set of pseudohyperbolic equilibrium points, we discuss an approach to correct statement of singular boundary value problems (BVPs) and their reduction to equivalent regular ones. The associated stable numerical methods are proposed and the results of their application are illustrated.
Keywords :
boundary-value problems; computational fluid dynamics; hyperbolic equations; magnetohydrodynamics; nonlinear differential equations; autonomous system; hydrodynamic application; incompressible fluid mechanics; nonlinear ODE; nonlinear ordinary differential equation; phase space; pseudohyperbolic equilibrium point; semi infinite interval; singular BVP; singular boundary value problem; Asymptotic stability; Boundary conditions; Boundary value problems; Differential equations; H infinity control; Hydrodynamics; Jacobian matrices; Nonlinear equations; Space stations; Space technology;
Conference_Titel :
Day on Diffraction, 2003. Proceedings. International Seminar
Conference_Location :
Saint Petersburg, Russia
Print_ISBN :
5-94158-070-3
DOI :
10.1109/DD.2003.238181
