Mathematical Models in Boundary Layer Theory
eBook - ePub

Mathematical Models in Boundary Layer Theory

  1. 528 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Models in Boundary Layer Theory

About this book

Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. Mathematical Models in Boundary Layer Theory offers the first systematic exposition of the mathematical methods and main results of the theory. Beginning with the basics, the authors detail the techniques and results that reveal the nature of the equations that govern the flow within boundary layers and ultimately describe the laws underlying the motion of fluids with small viscosity. They investigate the questions of existence and uniqueness of solutions, the stability of solutions with respect to perturbations, and the qualitative behavior of solutions and their asymptotics. Of particular importance for applications, they present methods for an approximate solution of the Prandtl system and a subsequent evaluation of the rate of convergence of the approximations to the exact solution. Written by the world's foremost experts on the subject, Mathematical Models in Boundary Layer Theory provides the opportunity to explore its mathematical studies and their importance to the nonlinear theory of viscous and electrically conducting flows, the theory of heat and mass transfer, and the dynamics of reactive and muliphase media. With the theory's importance to a wide variety of applications, applied mathematicians-especially those in fluid dynamics-along with engineers of aeronautical and ship design will undoubtedly welcome this authoritative, state-of-the-art treatise.

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Yes, you can access Mathematical Models in Boundary Layer Theory by V.N. Samokhin in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. 1 The Navier-Stokes Equations and the Prandtl System
  7. 2 Stationary Boundary Layer: von Mises Variables
  8. 3 Stationary Boundary Layer: Crocco Variables
  9. 4 Nonstationary Boundary Layer
  10. 5 Formation of the Boundary Layer
  11. 6 Finite Difference Method
  12. 7 Diffraction Problems for the Prandtl System
  13. 8 Boundary Layer in Non-Newtonian Flows
  14. 9 Boundary Layer in Magnetohydrodynamics
  15. 10Ā Ā Homogenization of Boundary Layer Equations
  16. Some Open Problems
  17. References
  18. Index