𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Morse Conjecture for Flows on Closed Surfaces

✍ Scribed by Habib Marzougui

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
110 KB
Volume
241
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Let M be a closed orientable surface and let Ο† be a C 1 -flow on M with set of singularities compact countable. In this paper, we prove the Morse conjecture for Ο†: if Ο† is topologically transitive then it is metrically transitive.

πŸ“œ SIMILAR VOLUMES

On theC1Stability Conjecture for Flows
On theC1Stability Conjecture for Flows
✍ Lan Wen πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 974 KB

We give a proof of the C 1 stability conjecture of Palis and Smale for flows, which has reduced to proving that C 1 structural stability implies Axiom A. The proof is based on the fundamental work of Liao and Man~e , and on the recent powerful C 1 connecting lemma of Hayashi.

On flows with closed streamlines
On flows with closed streamlines
✍ E. W. Haddon; N. Riley πŸ“‚ Article πŸ“… 1985 πŸ› Springer 🌐 English βš– 537 KB

In this paper we present numerical solutions of the steady, two-dimensional Navier-Stokes equations for an incompressible fluid, for the flow in a plane elliptical region driven by the motion of its boundary. As the Reynolds number increases a core region in which the vorticity is uniform emerges, a

Alling's Conjecture on Closed Prime Idea
Alling's Conjecture on Closed Prime Ideals inH∞
✍ Pamela Gorkin; Raymond Mortini πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 305 KB

In this paper we show that every closed prime ideal in the algebra of bounded analytic functions on the open unit disk is an intersection of maximal ideals. ## 1997 Academic Press Let H be the Banach algebra of all bounded analytic functions in the open unit disk D=[z # C: |z| <1]. The maximal ide