Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids (Memoirs of the American Mathematical Society)

Nonlinear Stability of Ekman Boundary Layers in Rotating Stratified Fluids (Memoirs of the American Mathematical Society)

By: Hajime Koba (author)Paperback

Up to 2 WeeksUsually despatched within 2 weeks

Description

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.

About Author

Hajime Koba, Waseda University, Tokyo, Japan.

Contents

IntroductionFormulation and Main ResultsLinearized ProblemExistence of Global Weak SolutionsUniqueness of Weak SolutionsNonlinear StabilitySmoothness of Weak SolutionsSome Extensions of the TheoryAppendix A. ToolboxBibliography

Product Details

  • ISBN13: 9780821891339
  • Format: Paperback
  • Number Of Pages: 127
  • ID: 9780821891339
  • ISBN10: 0821891332

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close