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{ "item_title" : "Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers", "item_author" : [" Matthias Hess "], "item_description" : "The Navier-Stokes equations are the fundamental model for the mathematical analysis of incompressible viscous fluids. In this text, a modification of this system of partial differential equations representing the situation of geophysical flows is investigated. An important mathematical model of geophysical boundary layers is the Ekman spiral, which is a stationary solution of the modified Navier-Stokes equations. Its long-time behaviour is of certain interest in natural sciences. Here, the stability of the Ekman spiral is shown in three-dimensional halfspaces and infinite layers in the case of a small Reynolds number of the according hydrodynamical system. The problem of maximal regularity of the Stokes operator in bounded and exterior domains with smooth boundary is also discussed", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/83/252/304/3832523049_b.jpg", "price_data" : { "retail_price" : "51.00", "online_price" : "51.00", "our_price" : "51.00", "club_price" : "51.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers|Matthias Hess

Analysis of the Navier-Stokes Equations for Geophysical Boundary Layers

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Overview

The Navier-Stokes equations are the fundamental model for the mathematical analysis of incompressible viscous fluids. In this text, a modification of this system of partial differential equations representing the situation of geophysical flows is investigated. An important mathematical model of geophysical boundary layers is the Ekman spiral, which is a stationary solution of the modified Navier-Stokes equations. Its long-time behaviour is of certain interest in natural sciences. Here, the stability of the Ekman spiral is shown in three-dimensional halfspaces and infinite layers in the case of a small Reynolds number of the according hydrodynamical system. The problem of maximal regularity of the Stokes operator in bounded and exterior domains with smooth boundary is also discussed

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Details

  • ISBN-13: 9783832523046
  • ISBN-10: 3832523049
  • Publisher: Logos Verlag Berlin
  • Publish Date: November 2009
  • Dimensions: 8.04 x 5.68 x 0.4 inches
  • Shipping Weight: 0.45 pounds
  • Page Count: 109

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