Navier Stokes Equations And Related Nonlinear Problems

Author : Adélia Sequeira
Publisher : Springer Science & Business Media
Page : 393 pages
File Size : 54,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489914156

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Navier—Stokes Equations and Related Nonlinear Problems by Adélia Sequeira Pdf

This volume contains the Proceedings of the Third International Conference on Navier-Stokes Equations and Related Nonlinear Problems. The conference was held in Funchal (Madeira, Portugal), on May 21-27, 1994. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon). This meeting, following two other successful events of similar type held in Thurnau (Germany) in 1992 and in Cento (Italy) in 1993, brought together, to the majestically beautiful island of Madeira, more than 60 specialists from all around the world, of which about two thirds were invited lecturers. The main interest of the meeting was focused on the mathematical analysis of nonlinear phenomena in fluid mechanics. During the conference, we noticed that this area seems to provide, today more than ever, challenging and increasingly important problems motivating the research of both theoretical and numerical analysts. This volume collects 32 articles selected from the invited lectures and contributed papers given during the conference. The main topics covered include: Flows in Unbounded Domains; Flows in Bounded Domains; Compressible Fluids; Free Boundary Problems; Non-Newtonian Fluids; Related Problems and Numerical Approximations. The contributions present original results or new surveys on recent developments, giving directions for future research. I express my gratitude to all the authors and I am glad to recognize the scientific level and the actual interest of the articles.

Author : H. Amann,G . P. Galdi,K. Plleckas,V. A. Solonnikov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 448 pages
File Size : 53,6 Mb
Release : 2020-05-18
Category : Mathematics
ISBN : 9783112319291

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Navier-Stokes Equations and Related Nonlinear Problems by H. Amann,G . P. Galdi,K. Plleckas,V. A. Solonnikov Pdf

No detailed description available for "Navier-Stokes Equations and Related Nonlinear Problems".

Author : Franck Boyer,Pierre Fabrie
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 45,6 Mb
Release : 2012-11-06
Category : Mathematics
ISBN : 9781461459750

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Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models by Franck Boyer,Pierre Fabrie Pdf

The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .

Author : Roger Temam
Publisher : SIAM
Page : 147 pages
File Size : 53,5 Mb
Release : 1995-01-01
Category : Technology & Engineering
ISBN : 9780898713404

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Navier-Stokes Equations and Nonlinear Functional Analysis by Roger Temam Pdf

This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.

Author : Herbert Amann
Publisher : Unknown
Page : 0 pages
File Size : 45,6 Mb
Release : 1998
Category : Navier-Stokes equations
ISBN : OCLC:1396896337

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Navier-Stokes Equations and Related Nonlinear Problems by Herbert Amann Pdf

Author : A. Bishop,D. Campbell,B. Nicolaenko
Publisher : Elsevier
Page : 480 pages
File Size : 44,8 Mb
Release : 1982-01-01
Category : Mathematics
ISBN : 0080871720

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Nonlinear Problems: Present and Future by A. Bishop,D. Campbell,B. Nicolaenko Pdf

Nonlinear Problems: Present and Future

Author : G.P. Galdi
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 55,5 Mb
Release : 1994-04-28
Category : Mathematics
ISBN : 9780387941509

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations by G.P. Galdi Pdf

"The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries. Throughout the work, main problems which, so far, remain open are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way."--Google Book Search.

Author : Michael Sh. Birman
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 45,6 Mb
Release : 2002
Category : Mathematics
ISBN : 0306474220

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Nonlinear Problems in Mathematical Physics and Related Topics by Michael Sh. Birman Pdf

The main topics in this volume reflect the fields of mathematics in which Professor O.A. Ladyzhenskaya obtained her most influential results. One of the main topics considered is the set of Navier-Stokes equations and their solutions.

Author : Grzegorz Łukaszewicz,Piotr Kalita
Publisher : Springer
Page : 390 pages
File Size : 50,6 Mb
Release : 2016-04-12
Category : Mathematics
ISBN : 9783319277608

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Navier–Stokes Equations by Grzegorz Łukaszewicz,Piotr Kalita Pdf

This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.

Author : Rodolfo Salvi
Publisher : CRC Press
Page : 314 pages
File Size : 40,8 Mb
Release : 2001-09-27
Category : Mathematics
ISBN : 0203908503

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The Navier-Stokes Equations by Rodolfo Salvi Pdf

"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 : Herbert Amann
Publisher : VSP Books
Page : 438 pages
File Size : 52,7 Mb
Release : 1998-01-01
Category : Fluid dynamics
ISBN : 9986546400

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Navier-Stokes Equations and Related Nonlinear Problems by Herbert Amann Pdf

Author : Giovanni Galdi
Publisher : Springer
Page : 0 pages
File Size : 41,9 Mb
Release : 2012-08-14
Category : Mathematics
ISBN : 1461253640

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations by Giovanni Galdi Pdf

This is the second of four volumes on the Navier-Stokes equations, specifically on Nonlinear Stationary Problems. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries. Throughout the work, main problems which, so far, remain open are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way. The work is mathematically self contained, requiring no specific background. The 200-plus exercises along with the chapter summaries and questions make this an excellent textbook for any theoretical Fluid Mechanics course; it is suitable as well for self teaching. It is set up to remain useful as a reference or dictionary.

Author : G.P. Galdi
Publisher : Springer
Page : 364 pages
File Size : 55,7 Mb
Release : 1994-04-28
Category : Mathematics
ISBN : 0387941509

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations by G.P. Galdi Pdf

This is the second of four volumes on the Navier-Stokes equations, specifically on Nonlinear Stationary Problems. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries. Throughout the work, main problems which, so far, remain open are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way. The work is mathematically self contained, requiring no specific background. The 200-plus exercises along with the chapter summaries and questions make this an excellent textbook for any theoretical Fluid Mechanics course; it is suitable as well for self teaching. It is set up to remain useful as a reference or dictionary.

Author : Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A. Solonnikov,Nina N. Uraltseva
Publisher : Springer
Page : 380 pages
File Size : 42,8 Mb
Release : 2012-09-21
Category : Mathematics
ISBN : 1461352029

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Nonlinear Problems in Mathematical Physics and Related Topics II by Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A. Solonnikov,Nina N. Uraltseva Pdf

The main topics reflect the fields of mathematics in which Professor O.A. Ladyzhenskaya obtained her most influential results. One of the main topics considered in the volume is the Navier-Stokes equations. This subject is investigated in many different directions. In particular, the existence and uniqueness results are obtained for the Navier-Stokes equations in spaces of low regularity. A sufficient condition for the regularity of solutions to the evolution Navier-Stokes equations in the three-dimensional case is derived and the stabilization of a solution to the Navier-Stokes equations to the steady-state solution and the realization of stabilization by a feedback boundary control are discussed in detail. Connections between the regularity problem for the Navier-Stokes equations and a backward uniqueness problem for the heat operator are also clarified. Generalizations and modified Navier-Stokes equations modeling various physical phenomena such as the mixture of fluids and isotropic turbulence are also considered. Numerical results for the Navier-Stokes equations, as well as for the porous medium equation and the heat equation, obtained by the diffusion velocity method are illustrated by computer graphs. Some other models describing various processes in continuum mechanics are studied from the mathematical point of view. In particular, a structure theorem for divergence-free vector fields in the plane for a problem arising in a micromagnetics model is proved. The absolute continuity of the spectrum of the elasticity operator appearing in a problem for an isotropic periodic elastic medium with constant shear modulus (the Hill body) is established. Time-discretization problems for generalized Newtonian fluids are discussed, the unique solvability of the initial-value problem for the inelastic homogeneous Boltzmann equation for hard spheres, with a diffusive term representing a random background acceleration is proved and some qualitative properties of the solution are studied. An approach to mathematical statements based on the Maxwell model and illustrated by the Lavrent'ev problem on the wave formation caused by explosion welding is presented. The global existence and uniqueness of a solution to the initial boundary-value problem for the equations arising in the modelling of the tension-driven Marangoni convection and the existence of a minimal global attractor are established. The existence results, regularity properties, and pointwise estimates for solutions to the Cauchy problem for linear and nonlinear Kolmogorov-type operators arising in diffusion theory, probability, and finance, are proved. The existence of minimizers for the energy functional in the Skyrme model for the low-energy interaction of pions which describes elementary particles as spatially localized solutions of nonlinear partial differential equations is also proved. Several papers are devoted to the study of nonlinear elliptic and parabolic operators. Versions of the mean value theorems and Harnack inequalities are studied for the heat equation, and connections with the so-called growth theorems for more general second-order elliptic and parabolic equations in the divergence or nondivergence form are investigated. Additionally, qualitative properties of viscosity solutions of fully nonlinear partial differential inequalities of elliptic and degenerate elliptic type are clarified. Some uniqueness results for identification of quasilinear elliptic and parabolic equations are presented and the existence of smooth solutions of a class of Hessian equations on a compact Riemannian manifold without imposing any curvature restrictions on the manifold is established.

Author : Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A. Solonnikov,Nina N. Uraltseva
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461507772

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Nonlinear Problems in Mathematical Physics and Related Topics I by Michael Sh. Birman,Stefan Hildebrandt,Vsevolod A. Solonnikov,Nina N. Uraltseva Pdf

The new series, International Mathematical Series founded by Kluwer / Plenum Publishers and the Russian publisher, Tamara Rozhkovskaya is published simultaneously in English and in Russian and starts with two volumes dedicated to the famous Russian mathematician Professor Olga Aleksandrovna Ladyzhenskaya, on the occasion of her 80th birthday. O.A. Ladyzhenskaya graduated from the Moscow State University. But throughout her career she has been closely connected with St. Petersburg where she works at the V.A. Steklov Mathematical Institute of the Russian Academy of Sciences. Many generations of mathematicians have become familiar with the nonlinear theory of partial differential equations reading the books on quasilinear elliptic and parabolic equations written by O.A. Ladyzhenskaya with V.A. Solonnikov and N.N. Uraltseva. Her results and methods on the Navier-Stokes equations, and other mathematical problems in the theory of viscous fluids, nonlinear partial differential equations and systems, the regularity theory, some directions of computational analysis are well known. So it is no surprise that these two volumes attracted leading specialists in partial differential equations and mathematical physics from more than 15 countries, who present their new results in the various fields of mathematics in which the results, methods, and ideas of O.A. Ladyzhenskaya played a fundamental role. Nonlinear Problems in Mathematical Physics and Related Topics I presents new results from distinguished specialists in the theory of partial differential equations and analysis. A large part of the material is devoted to the Navier-Stokes equations, which play an important role in the theory of viscous fluids. In particular, the existence of a local strong solution (in the sense of Ladyzhenskaya) to the problem describing some special motion in a Navier-Stokes fluid is established. Ladyzhenskaya's results on axially symmetric solutions to the Navier-Stokes fluid are generalized and solutions with fast decay of nonstationary Navier-Stokes equations in the half-space are stated. Application of the Fourier-analysis to the study of the Stokes wave problem and some interesting properties of the Stokes problem are presented. The nonstationary Stokes problem is also investigated in nonconvex domains and some Lp-estimates for the first-order derivatives of solutions are obtained. New results in the theory of fully nonlinear equations are presented. Some asymptotics are derived for elliptic operators with strongly degenerated symbols. New results are also presented for variational problems connected with phase transitions of means in controllable dynamical systems, nonlocal problems for quasilinear parabolic equations, elliptic variational problems with nonstandard growth, and some sufficient conditions for the regularity of lateral boundary. Additionally, new results are presented on area formulas, estimates for eigenvalues in the case of the weighted Laplacian on Metric graph, application of the direct Lyapunov method in continuum mechanics, singular perturbation property of capillary surfaces, partially free boundary problem for parametric double integrals.