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Book Cover
E-book
Author Mak, Ronald, 1953-

Title The Martian principles for successful enterprise systems : 20 lessons learned from NASA's Mars Exploration Rover Mission / Ronald Mak
Published Indianapolis, IN : Wiley Pub., [2006]
©2006
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Description 1 online resource (xxx, 138 pages) : illustrations
Contents Cover Contents Preface Acknowledgments I Introduction and Overview of Turbulence Introduction 1 Viscous Fluids. The Navier Stokes Equations Nondimensional Form of the Navier Stokes Equations 2 Turbulence: Where the Interests of Engineers and Mathematicians Overlap 3 Elements of the Theories of Turbulence of Kolmogorov and Kraichnan 4 Function Spaces, Functional Inequalities, and Dimensional Analysis The Fundamental Function Spaces Functional Inequalities More Inequalities Lebesgue Spaces Higher-Order Sobolev Spaces Sobolev Embeddings and Inequalities Compact Mappings, the Rellich Lemma, and Compact Sobolev Embeddings II Elements of the Mathematical Theory of the Navier Stokes Equations Introduction 1 Energy and Enstrophy 2 Boundary Value Problems No-Slip Boundary Condition Space-Periodic Case Channel Flows Initial Condition Simplified Problems A Boundary Value Problem for the Pressure An Evolution Equation for the Velocity Field u 3 Helmholtz Leray Decomposition of Vector Fields The Evolution Equation for the Velocity Field 4 Weak Formulation of the Navier Stokes Equations Energy Equation 5 Function Spaces No-Slip Boundary Conditions Periodic Boundary Conditions Periodic Boundary Conditions with Zero Space Average Fourier Characterization of the Function Spaces for Periodic Flows Space Time Function Spaces 6 The Stokes Operator The Stokes Operator in the No-Slip Case The Stokes Operator in the Space-Periodic Case with Vanishing Space Average The Stokes Operator in the General Periodic Case Alternative (Abstract) Definition of the Stokes Operator Asymptotic Behavior of the Eigenvalues of the Stokes Operator Galerkin (Spectral) Projectors 7 Existence and Uniqueness of Solutions: The Main Results Existence and Uniqueness in Dimension 3 Existence and Uniqueness in Dimension 2 Further Properties of the Solutions in Dimension 3 8 Analyticity in Time Time Analyticity in the 3-Dimensional Case Global Analyticity in the 2-Dimensional Case Improvements in the 2-Dimensional Periodic Case 9 Gevrey Class Regularity and the Decay of the Fourier Coefficients Gevrey Spaces Estimates for the Nonlinear Term in the Periodic Case Analyticity in the 3-Dimensional Periodic Case Analyticity in the 2-Dimensional Periodic Case Exponential Decrease of the Fourier Coefficients 10 Function Spaces for the Whole-Space Case 11 The No-Slip Case with Moving Boundaries 12 Dissipation Rate of Flows Bounds on the Energy Dissipation for a 3-Dimensional Shear Flow Bounds on the Energy Dissipation for Periodic Flows 13 Nondimensional Estimates and the Grashof Number The 2-Dimensional Case The 3-Dimensional Case Appendix A Mathematical Complements A.1 Function Spaces A.2 Weak and Strong Solutions of the NSE in Dimension 3 A.3 Weak and Strong Solutions of the NSE in Dimension 2 Appendix B Proofs of Technical Results in Chapter II B.1 Energy Equation and A Priori Estimates B.2 Time Analyticity B.3 Bilinear Estimates in Gevrey Spaces B.4 Time Analyticity in Gevrey Spaces III Finite Dimensionality of Flows Introduction Elements of the Mathematical Theory of the NSE 1 Determining Modes Determining Modes in the No-Slip Case Determining Modes in the Space-Periodic Case 2 Determining Nodes Determining Nodes in the No-Slip Case Determining Nodes in the Space-Periodic Case 3 Attractors and Their Fractal Dimension 3.1 The Global Attractor for the 2-Dimensional Navier Stokes Equations 3.2 The 3-Dimensional Navier Stokes Equations 4 Approximate Inertial Manifolds Appendix A Proofs of Technical Results in Chapter III A.1 Proof of the Generalized Gronwall Lemma 1.1 A.2 Proof of Lemma 2.1 A.3 Estimates for the Dimension of the Global Attractor A.4 Proof of the Triviality of the Attractor with Force in the First Mode A.5 Attraction and Compactness of the 3-Dimensional Weak Global Attractor A.6 Error Bounds for the FMT Approximate In
Notes Includes index
Subject Mars Exploration Rover Mission (U.S.) -- Data processing.
Business -- Data processing -- Case studies.
Computer systems -- Design -- Case studies.
Roving vehicles (Astronautics) -- Automatic control -- Data processing.
Mars (Planet) -- Exploration -- Data processing.
Genre/Form Case studies.
Form Electronic book
Author Mars Exploration Rover Mission (U.S.)
ISBN 0470046317 (electronic bk.)
0471789658 (paperback)
6610447764
9780470046319 (electronic bk.)
9780471789659
9786610447763