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Mathematical Models in Boundary Layer Theory (Hardcover)
Loot Price: R5,330
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Mathematical Models in Boundary Layer Theory (Hardcover)
Series: Applied Mathematics
Expected to ship within 12 - 17 working days
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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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