Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The book collects a selection of papers most of which are revised and enriched versions of the contributions presented at the 12th Symposium on Trends of Applications of Mathematics to Mechanics (STAMM) which was sponsored by the International Society for the Interaction between Mathematics and Mechanics (ISIMM) and held in Maiori (Salerno), Italy from September 29th to October 4th, 2002. The Symposium attracted many leading researchers from around the world who are working at the interface between Mathematics and Mechanics. The importance of a close link between these two disciplines have long been recognized and each of them get benefits and stimuli by open problems, methods and results emerging from the other one. The book collects 22 papers which contribute special investigations and more wide presentations of linear and nonlinear problems. It is with the deepest gratitude to the authors that have contributed to the volume and to the publisher, for his highly professional assistance, that the editors submit this book to the international mathematics and mechanics communities.

Mechanics, Applied --- Engineering mathematics --- Mathematics --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Structural mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Engineering, general. --- Applications of Mathematics. --- Structural Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Mathematics. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Math --- Science --- Engineering --- Machinery --- Steam engineering --- Construction --- Industrial arts --- Technology --- Engineering analysis --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ludwig Prandtl, with his fundamental contributions to hydrodynamics, aerodynamics and gasdynamics, greatly influenced the development of fluid mechanics as a whole and it was his pioneering research in the first half of the 20th century that founded modern fluid mechanics. His book `Fuhrer durch die Stromungslehre’ or `Essentials of Fluid Mechanics’ appeared in 1942. Even today it is considered one of the most important books in the area. For this 10th edition the initial chapters, although updated throughout, follow the path marked out by Prandtl in his first edition. The major difference lies in the treatment of additional topics of fluid mechanics and chapters 7-14 were updated by key international researchers in the area bringing the subject up to date whilst keeping Prandtl’s purpose in mind. Essentials of Fluid Mechanics is aimed at science and engineering students and researchers wishing to obtain an overview of the different branches of fluid mechanics. The book is extensively illustrated throughout and includes problems to aid learning in many chapters. Reviews of this edition: `The history of Ludwig Prandtl's book "Essentials of Fluid Mechanics" is one of unique success. It has achieved worldwide fame as a standard work covering practically all areas of fluid mechanics. For this tenth edition the entire text has been reworked and in part rearranged. Those subject areas that are presently undergoing great changes have been brought up to date and new chapters on "Fluid Mechanical Instabilities", "Flows with Chemical Reactions" and "Biofluid Mechanics" have been added. This new edition maintains the successful tradition of the Prandtl book and I hope it will achieve the same global acceptance as the earlier editions.’ Professor E.H. K. Gersten Ruhr-Universität Bochum, Germany `This 10th edition has been edited and modernized by Professor H Oertel and a distinguished cadre of his colleagues.The strength of this book is its breadth, which in addition to the basic topics in fluid mechanics introduces the reader to topics rarely found in one place: aerodynamics, turbulence, instabilities, convective heat/mass transport, multiphase reactive, geophysical, and biomechanical flows, as well as thermal turbomachinery. I know of no single place in which one can find such a spectrum of topics, in itself, a tribute to the interests of Prandtl.’ Professor Stephen H Davis, Northwestern University, USA.

Engineering. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Continuum physics. --- Mechanical engineering. --- Mechanical Engineering. --- Applications of Mathematics. --- Theoretical, Mathematical and Computational Physics. --- Classical Continuum Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematics. --- Classical and Continuum Physics. --- Mathematical and Computational Engineering. --- Fluid mechanics. --- Mathematical physics. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Physical mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Engineering, Mechanical --- Machinery --- Steam engineering --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.

Nonlinear oscillations. --- Differential Equations. --- Differential equations, partial. --- Fourier analysis. --- Functional analysis. --- Mathematics. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Fourier Analysis. --- Functional Analysis. --- Applications of Mathematics. --- Differential equations. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Analysis, Fourier --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Mathematics --- Nonlinear theories --- Oscillations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry. --- Mathematics. --- Functional analysis. --- Global analysis (Mathematics). --- Differential equations, partial. --- Functional Analysis. --- Analysis. --- Partial Differential Equations. --- Applications of Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- 517.1 Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematics --- Euclid's Elements

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.

Partial differential equations --- Differential equations, Partial. --- Equations aux dérivées partielles --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- 517.95 --- 517.95 Partial differential equations --- Mathematics. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Partial Differential Equations. --- Applications of Mathematics. --- Mathematical Methods in Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Differential equations, partial. --- Mathematical physics. --- Mathematical and Computational Engineering. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Engineering --- Engineering analysis --- Mathematical analysis --- Differential equations. --- Differential Equations. --- Mathematical and Computational Engineering Applications. --- Data processing.