Elliptic Problems In Domains With Piecewise Smooth Boundaries
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Elliptic Problems In Domains With Piecewise Smooth Boundaries
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Author : Sergey Nazarov
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-01
Elliptic Problems In Domains With Piecewise Smooth Boundaries written by Sergey Nazarov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Partial Differential Equations
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Author : M. S. Agranovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Partial Differential Equations written by M. S. Agranovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This volume presents 11 papers from a Russian seminar on new developments in the study of both linear and nonlinear partial differential equations (PDEs). Topics include elliptic boundary value problems with large parameter for mixed order systems, a method of stabilization for solutions of the Navier-Stokes equations by a feedback control from the boundary, a class of dissipative nonlinear PDEs perturbed by a bounded random kick-force, and the stability of inverse problems. The last two chapters review the history of the Vishik seminar first held in 1961. There is no index. Annotation copyrighted by Book News, Inc., Portland, OR
Proceedings Of The St Petersburg Mathematical Society
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Author : Nina Nikolaevna Uralceva (Mathematikerin.)
language : en
Publisher: American Mathematical Soc.
Release Date :
Proceedings Of The St Petersburg Mathematical Society written by Nina Nikolaevna Uralceva (Mathematikerin.) and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Complex Analysis And Dynamical Systems V
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Author : Mark Lʹvovich Agranovskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-03
Complex Analysis And Dynamical Systems V written by Mark Lʹvovich Agranovskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Mathematics categories.
This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential
Advances In Mathematical Fluid Mechanics
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Author : Josef Malek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Mathematical Fluid Mechanics written by Josef Malek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.
Progress In Partial Differential Equations
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Author : Michel Chipot
language : en
Publisher: CRC Press
Release Date : 1996-04-18
Progress In Partial Differential Equations written by Michel Chipot and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-18 with Mathematics categories.
This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics, in particular for calculus of variations and fluid flows. These topics are now part of various areas of science and have experienced tremendous development during the last decades.
Application Of Abstract Differential Equations To Some Mechanical Problems
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Author : I. Titeux
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Application Of Abstract Differential Equations To Some Mechanical Problems written by I. Titeux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
PREFACE The theory of differential-operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained. In this book, we give a systematic treatment of the partial differential equations which arise in elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. Here the methods of operator pencils and differential-operator equations are used. This book is intended for scientists and graduate students in Functional Analy sis, Differential Equations, Equations of Mathematical Physics, and related topics. It would undoubtedly be very useful for mechanics and theoretical physicists. We would like to thank Professors S. Yakubov and S. Kamin for helpfull dis cussions of some parts of the book. The work on the book was also partially supported by the European Community Program RTN-HPRN-CT-2002-00274. xiii INTRODUCTION In first two sections of the introduction, a classical mathematical problem will be exposed: the Laplace problem. The domain of definition will be, on the first time, an infinite strip and on the second time, a sector. To solve this problem, a well known separation of variables method will be used. In this way, the structure of the solution can be explicitly found. For more details about the separation of variables method exposed in this part, the reader can refer to, for example, the book by D. Leguillon and E. Sanchez-Palencia [LS].
Recent Progress In Computational And Applied Pdes
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Author : Tony F. Chan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Progress In Computational And Applied Pdes written by Tony F. Chan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The book discusses some key scientific and technological developments in computational and applied partial differential equations. It covers many areas of scientific computing, including multigrid methods, image processing, finite element analysis and adaptive computations. It also covers software technology, algorithms and applications. Most papers are of research level, and are contributed by some well-known mathematicians and computer scientists. The book will be useful to engineers, computational scientists and graduate students.
Mathematical Aspects Of Boundary Element Methods
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Author : Marc Bonnet
language : en
Publisher: CRC Press
Release Date : 2024-07-05
Mathematical Aspects Of Boundary Element Methods written by Marc Bonnet and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-05 with Mathematics categories.
Boundary element methods relate to a wide range of engineering applications, including fluid flow, fracture analysis, geomechanics, elasticity, and heat transfer. Thus, new results in the field hold great importance not only to researchers in mathematics, but to applied mathematicians, physicists, and engineers. A two-day minisymposium Mathematical Aspects of Boundary Element Methods at the IABEM conference in May 1998 brought together top rate researchers from around the world, including Vladimir Maz’ya, to whom the conference was dedicated. Focusing on the mathematical and numerical analysis of boundary integral operators, this volume presents 25 papers contributed to the symposium. Mathematical Aspects of Boundary Element Methods provides up-to-date research results from the point of view of both mathematics and engineering. The authors detail new results, such as on nonsmooth boundaries, and new methods, including domain decomposition and parallelization, preconditioned iterative techniques, multipole expansions, higher order boundary elements, and approximate approximations. Together they illustrate the connections between the modeling of applied problems, the derivation and analysis of corresponding boundary integral equations, and their efficient numerical solutions.
Around The Research Of Vladimir Maz Ya I
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Author : Ari Laptev
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-02
Around The Research Of Vladimir Maz Ya I written by Ari Laptev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-02 with Mathematics categories.
The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists. Sobolev type spaces, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimal Hardy-Sobolev-Maz'ya inequalities, Maz'ya's isocapacitary inequalities in a measure-metric space setting and many other actual topics are discussed.