Navier-Stokes Equations in Irregular Domains PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Navier-Stokes Equations in Irregular Domains PDF full book. Access full book title Navier-Stokes Equations in Irregular Domains by L. Stupelis. Download full books in PDF and EPUB format.
Author: L. Stupelis
Publisher: Springer Science & Business Media
ISBN: 9401585253
Category : Science
Languages : en
Pages : 583
Get Book Here
Book Description
The analytical basis of Navier-Stokes Equations in Irregular Domains 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 Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways. Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.
Author: L. Stupelis
Publisher: Springer Science & Business Media
ISBN: 9401585253
Category : Science
Languages : en
Pages : 583
Get Book Here
Book Description
The analytical basis of Navier-Stokes Equations in Irregular Domains 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 Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways. Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.
Author: Matania Ben-artzi
Publisher: World Scientific
ISBN: 1783263016
Category : Mathematics
Languages : en
Pages : 315
Get Book Here
Book Description
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./a
Author: Zhilin Li
Publisher: SIAM
ISBN: 9780898717464
Category : Mathematics
Languages : en
Pages : 348
Get Book Here
Book Description
This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.
Author: Rodolfo Salvi
Publisher: CRC Press
ISBN: 0824744896
Category : Mathematics
Languages : en
Pages : 337
Get Book Here
Book Description
"Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."
Author: V. G. Maz_i_a
Publisher: American Mathematical Soc.
ISBN: 0821849832
Category : Mathematics
Languages : en
Pages : 618
Get Book Here
Book Description
This is the first monograph which systematically treats elliptic boundary value problems in domains of polyhedral type. The authors mainly describe their own recent results focusing on the Dirichlet problem for linear strongly elliptic systems of arbitrary order, Neumann and mixed boundary value problems for second order systems, and on boundary value problems for the stationary Stokes and Navier-Stokes systems. A feature of the book is the systematic use of Green's matrices. Using estimates for the elements of these matrices, the authors obtain solvability and regularity theorems for the solutions in weighted and non-weighted Sobolev and Holder spaces. Some classical problems of mathematical physics (Laplace and biharmonic equations, Lame system) are considered as examples. Furthermore, the book contains maximum modulus estimates for the solutions and their derivatives. The exposition is self-contained, and an introductory chapter provides background material on the theory of elliptic boundary value problems in domains with smooth boundaries and in domains with conical points. The book is destined for graduate students and researchers working in elliptic partial differential equations and applications.
Author: Trinh Nguyen
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
The inviscid limit of the Navier-Stokes equations is one of the most fundamental and challenging problems in fluid dynamics. For domains with boundaries under no-slip boundary conditions, the problem is largely open due to large convection terms in the inviscid limit. On the whole space R2, the problem is open for irregular initial data, except for vortex patches and point vortices. This dissertation discusses my results on the inviscid limit of the Navier-Stokes equations. My first results are to justify the inviscid limit on half-space for via a new analytic framework. The analysis is carried out for the classical no-slip boundary condi- tions as well as the critical boundary conditions. Finally, the thesis justifies the inviscid limit for vortex-wave data, which rigorously obtains the vortex-wave system derived in the early 90s by Marchioro-Pulvirenti as a vanishing viscosity limit of the Navier-Stokes equations.
Author: Reinhard Farwig
Publisher:
ISBN:
Category :
Languages : de
Pages : 17
Get Book Here
Book Description
Author: Alice Evelyn Koniges
Publisher: Morgan Kaufmann
ISBN: 1558605401
Category : Computers
Languages : en
Pages : 660
Get Book Here
Book Description
High performance computers.
Author: Klaus-Jürgen Bathe
Publisher: Elsevier Science & Technology
ISBN:
Category : Science
Languages : en
Pages : 1384
Get Book Here
Book Description
The MIT Conferences in Computational Fluid and Solid Mechanics are now established as the premier meeting place for industry and academia to come together and share ideas. Distinguished and thought provoking keynote lectures, cutting edge research results, and directions for future research are presented in over 600 contributions. The CD-Rom version enables specialized searching across complete contents. Contributing authors present results which address eight fundamental areas for research and development. The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement
Author: Alex Kaltenbach
Publisher: Springer Nature
ISBN: 3031296702
Category : Mathematics
Languages : en
Pages : 364
Get Book Here
Book Description
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions. Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory and non-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject.
