Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids is popular PDF and ePub book, written by Hajime Koba in 2014-10-03, it is a fantastic choice for those who relish reading online the Fluid mechanics genre. Let's immerse ourselves in this engaging Fluid mechanics book by exploring the summary and details provided below. Remember, Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids can be Read Online from any device for your convenience.

Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids Book PDF Summary

A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.

Detail Book of Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids PDF

Nonlinear Stability of Ekman Boundary Layers in Rotation Stratified Fluids
  • Author : Hajime Koba
  • Release : 03 October 2014
  • Publisher : Unknown
  • ISBN : 1470414856
  • Genre : Fluid mechanics
  • Total Page : 132 pages
  • Language : English
  • PDF File Size : 14,8 Mb

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Combinatorial Floer Homology

Combinatorial Floer Homology Author : Vin de Silva,Joel W. Robbin,Dietmar A. Salamon
Publisher : American Mathematical Soc.
File Size : 35,8 Mb
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The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic ...