New PDF release: Navier–Stokes Equations: An Introduction with Applications

By Grzegorz Łukaszewicz,Piotr Kalita

ISBN-10: 3319277588

ISBN-13: 9783319277585

This quantity is dedicated to the research of the Navier–Stokes equations, offering a finished reference for a number purposes: from complex undergraduate scholars to engineers mathematicians enthusiastic about examine on fluid mechanics, dynamical platforms, and mathematical modeling. outfitted with just a uncomplicated wisdom of calculus, useful research, and partial differential equations, the reader is brought to the idea that and functions of the Navier–Stokes equations via a sequence of totally self-contained chapters. together with energetic illustrations that supplement and elucidate the textual content, and a suite of routines on the finish of every bankruptcy, this e-book is an indispensable, obtainable, classroom-tested software for instructing and knowing the Navier–Stokes equations.

Incompressible Navier–Stokes equations describe the dynamic movement (flow) of incompressible fluid, the unknowns being the speed and strain as services of position (space) and time variables. an answer to those equations predicts the habit of the fluid, assuming wisdom of its preliminary and boundary states. those equations are probably the most very important versions of mathematical physics: even if they've been a topic of bright examine for greater than a hundred and fifty years, there are nonetheless many open difficulties end result of the nature of nonlinearity found in the equations. The nonlinear convective time period found in the equations ends up in phenomena comparable to eddy flows and turbulence. particularly, the query of resolution regularity for 3-dimensional challenge was once appointed via Clay Institute as one of many Millennium difficulties, the major difficulties in sleek arithmetic. the matter is still not easy and engaging for mathematicians, and the purposes of the Navier–Stokes equations diversity from aerodynamics (drag and raise forces), to the layout of watercraft and hydroelectric energy vegetation, to scientific purposes reminiscent of modeling the circulate of blood within the circulatory system.

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Navier–Stokes Equations: An Introduction with Applications (Advances in Mechanics and Mathematics) by Grzegorz Łukaszewicz,Piotr Kalita

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