Basit Olmayan Dejenere Nokta Civarındaki Eksenel Simetrik Akış Topolojisi

Bu makalenin amacı basit olmayan tekil nokta civarındaki 2-Boyutlu sıkıştırılamaz akışlar için eksenel simetrik akışların akış çizgi modellerini ve onların çatallanmalarını elde etmektir. Hamiltoniyen vektör alan sisteminin akış çizgileri, indeks teorisinin homotopi değişmezliği kullanılarak basitleştirildi. İndeksin homotopi değişmezliği kullanılarak, basit olmayan dejenere nokta civarında, eksenel simetrik akışın yapısal çatallanması için yeterli ve gerekli koşullar için bir teori geliştirildi. Akış alanındaki parametrelerin değişimi yapısal çatallanmalara neden olabilir. Dejenere akış yapısının çatallanması, bu parametrelerin hafifçe değiştirilmesiyle elde edildi.

Streamline Topology of Axisymmetric Flow Near Non-Simple Singular Point

Theaim of this paper is to obtain streamline patterns of axisymmetric flow andtheir bifurcations for 2-D incompressible flows close to non-simple singularpoint. The streamlines of a Hamiltonian vector field system are simplified byusing the homotopy invariance of the index theory. Using a homotopy invarianceof the index, we develop a theory for the sufficient and necessary conditionsfor structural bifurcation of axisymmetric flow near non-simple degeneratecritical points. The variation of parameters in the flow field can causestructural bifurcations. The bifurcation of the degenerate flow structure isobtained when it is perturbed slightly.

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