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Theoretical fluid dynamics

Feldmeier, Achim.

Theoretical fluid dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theoretical fluid dynamicsby Achim Feldmeier.
Author:	Feldmeier, Achim.
Published:	Cham :Springer International Publishing :2019.
Description:	xvi, 569 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fluid dynamics.
Online resource:	https://doi.org/10.1007/978-3-030-31022-6
ISBN:	9783030310226$q(electronic bk.)

Theoretical fluid dynamics
Feldmeier, Achim.

Theoretical fluid dynamics[electronic resource] /by Achim Feldmeier. - Cham :Springer International Publishing :2019. - xvi, 569 p. :ill., digital ;24 cm. - Theoretical and mathematical physics,1864-5879. - Theoretical and mathematical physics..

Description of fluids -- Flows in the complex plane -- Vortices, corner flow and flow past plates -- Jets, wakes and cavities -- Kelvin-Helmholtz instability -- Kinematics of waves -- Shallow water waves -- Free surface waves -- Existence proof for weakly nonlinear water waves -- Sound and internal gravity waves -- Supersonic flow and shocks.

This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks. Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics. Many of the derivations, so far contained only in research journals, are made available here to a wider public.

ISBN: 9783030310226$q(electronic bk.)

Standard No.: 10.1007/978-3-030-31022-6doiSubjects--Topical Terms:

186085
Fluid dynamics.

LC Class. No.: QC151

Dewey Class. No.: 532

Theoretical fluid dynamics
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245 1 0 $a Theoretical fluid dynamics $h [electronic resource] / $c by Achim Feldmeier.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xvi, 569 p. : $b ill., digital ; $c 24 cm.
490 1 $a Theoretical and mathematical physics, $x 1864-5879
505 0 $a Description of fluids -- Flows in the complex plane -- Vortices, corner flow and flow past plates -- Jets, wakes and cavities -- Kelvin-Helmholtz instability -- Kinematics of waves -- Shallow water waves -- Free surface waves -- Existence proof for weakly nonlinear water waves -- Sound and internal gravity waves -- Supersonic flow and shocks.
520 $a This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks. Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics. Many of the derivations, so far contained only in research journals, are made available here to a wider public.
650 0 $a Fluid dynamics. $3 186085
650 1 4 $a Fluid- and Aerodynamics. $3 376797
650 2 4 $a Classical Mechanics. $3 769955
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Engineering Fluid Dynamics. $3 273893
650 2 4 $a Theoretical Astrophysics. $3 821426
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830 0 $a Theoretical and mathematical physics. $3 558366
856 4 0 $u https://doi.org/10.1007/978-3-030-31022-6
950 $a Physics and Astronomy (Springer-11651)