TOPOLOGICAL PHASE TRANSITIONS IV: DYNAMIC THEORY OF BOUNDARY-LAYER SEPARATIONS

• Main Authors: Ma, Tian, Wang, Shouhong
• Other Authors: Sichuan University Chengdu (SCU), Indiana University Bloomington, Indiana University System
• Format: Report
• Language: English
• Published: HAL CCSD 2017
• Subjects: [NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]; [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]; Boundary Point; North Atlantic
• Online Access: https://hal.archives-ouvertes.fr/hal-01672759; https://hal.archives-ouvertes.fr/hal-01672759/document; https://hal.archives-ouvertes.fr/hal-01672759/file/tpt4.pdf

We present in this paper a systematic dynamic theory for boundary-layer separations of fluid flows and its applications to large scale ocean circulations, based on the geometric theory of incompressible flows developed by the authors. First, we derive the separation equations, which provide necessar...