Navier-stokes Equations In Planar Domains By: Matania Ben-Artzi; Jean-Pierre Croisille; Dalia Fishelov Publisher: ICP Print ISBN: 9781848162754, 1848162758 eText ISBN: 9781783263011, 1783263016 Pages: 316 Format: EPUB Available from $ 39.00 USD SKU: 9781783263011 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. Contents: Basic Theory: Introduction Existence and Uniqueness of Smooth Solutions Estimates for Smooth Solutions Extension of the Solution Operator Measures as Initial Data Asymptotic Behavior for Large Time Some Theorems from Functional Analysis Approximate Solutions: Introduction Notation Graduate students and researchers in applied mathematics (particularly computational fluid dynamics), partial differential equations, and mathematical physics (specifically nonlinear evolution equations). SKU: 9781848162754 Ebooks here: https://ebookscoffee.sellpass.io/products/Navierstokes-Equations-In-Planar-Domains
