Navier-Stokes Equations in Planar Domains
β Scribed by Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fishelov
- Publisher
- Imperial College Press
- Year
- 2013
- Tongue
- English
- Leaves
- 315
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as "driven cavity" and "double-driven cavity".
A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a "pure streamfunction" approach. In particular, a complete proof of convergence is given for the full nonlinear problem.
This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics.
Readership: Graduate students and researchers in applied mathematics (particularly computational fluid dynamics), partial differential equations, and mathematical physics (specifically nonlinear evolution equations).
β¦ Subjects
Hydraulics Mechanical Engineering Transportation Differential Equations Applied Mathematics Science Math Mathematical Physics Algebra Trigonometry Calculus Geometry Statistics New Used Rental Textbooks Specialty Boutique
π SIMILAR VOLUMES
<p>The analytical basis of <em>Navier-Stokes Equations in Irregular</em><em>Domains</em> is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and HΓΆlder spaces, and the investigat
<div>Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, <i>Navier-Stokes Equations</i> provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and
Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of
<div>Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, <i>Navier-Stokes Equations</i> provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and
<p>This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accompli