Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
BOUNDARY VALUE PROBLEMS FOR LINEAR EVOLUTION PARTIAL DIFFERENTIAL EQUATIONS- PROCEEDINGS- NATO ADVANCED STUDY INSTITUTE.
Author: Boundary Value Problems for Linear Evolution Partial Differential Equations
Author: H.G. GarnirPublisher: Springer Science & Business Media
ISBN: 9401012059
Category : Mathematics
Languages : en
Pages : 484
Book Description
Most of the problems posed by Physics to Mathematical Analysis are boundary value problems for partial differential equations and systems. Among them, the problems concerning linear evolution equations have an outstanding position in the study of the physical world, namely in fluid dynamics, elastodynamics, electromagnetism, plasma physics and so on. This Institute was devoted to these problems. It developed essentially the new methods inspired by Functional Analysis and specially by the theories of Hilbert spaces, distributions and ultradistributions. The lectures brought a detailed exposition of the novelties in this field by world known specialists. We held the Institute at the Sart Tilman Campus of the University of Liege from September 6 to 17, 1976. It was attended by 99 participants, 79 from NATO Countries [Belgium (30), Canada (2), Denmark (I), France (15), West Germany (9), Italy (5), Turkey (3), USA (14)] and 20 from non NATO Countries [Algeria (2), Australia (3), Austria (I), Finland (1), Iran (3), Ireland (I), Japan (6), Poland (1), Sweden (I), Zair (1)]. There were 5 courses of_ 6_ h. ollI'. s~. 1. nL lJ. , h. t;l. l. I. rl"~, 1. n,L ,_ h. t;l. l. I. r. !'~ , ?_ n. f~ ?_ h,,
Boundary Value Problems for Linear Evolution Partial Differential Equations
Author: Henri G. GarnirPublisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 0
Book Description
Boundary Value Problems for Linear Evolution Partial Differential Equations
Author: Boundary Value Problems for Linear Evolution
Author: H. G. GarnirSingularities in Boundary Value Problems
Author: H.G. GarnirPublisher: Springer Science & Business Media
ISBN: 9400984340
Category : Mathematics
Languages : en
Pages : 390
Book Description
The 1980 Maratea NATO Advanced Study Institute (= ASI) followed the lines of the 1976 Liege NATO ASI. Indeed, the interest of boundary problems for linear evolution partial differential equations and systems is more and more acute because of the outstanding position of those problems in the mathematical description of the physical world, namely through sciences such as fluid dynamics, elastodynamics, electro dynamics, electromagnetism, plasma physics and so on. In those problems the question of the propagation of singularities of the solution has boomed these last years. Placed in its definitive mathematical frame in 1970 by L. Hormander, this branch -of the theory recorded a tremendous impetus in the last decade and is now eagerly studied by the most prominent research workers in the field of partial differential equations. It describes the wave phenomena connected with the solution of boundary problems with very general boundaries, by replacing the (generailly impossible) computation of a precise solution by a convenient asymptotic approximation. For instance, it allows the description of progressive waves in a medium with obstacles of various shapes, meeting classical phenomena as reflexion, refraction, transmission, and even more complicated ones, called supersonic waves, head waves, creeping waves, •••••• The !'tudy of singularities uses involved new mathematical concepts (such as distributions, wave front sets, asymptotic developments, pseudo-differential operators, Fourier integral operators, microfunctions, ••• ) but emerges as the most sensible application to physical problems. A complete exposition of the present state of this theory seemed to be still lacking.
Boundary Value Problems for Linear Evolution Partial Differential Equations
Author: Henri G. GarnirPublisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 473
Book Description
Boundary Value Problems for Linear Partial Differential Equations
Author: Manuel MañasPublisher: CRC Press
ISBN: 1040026427
Category : Mathematics
Languages : en
Pages : 452
Book Description
Boundary value problems play a significant role in modeling systems characterized by established conditions at their boundaries. On the other hand, initial value problems hold paramount importance in comprehending dynamic processes and foreseeing future behaviors. The fusion of these two types of problems yields profound insights into the intricacies of the conduct exhibited by many physical and mathematical systems regulated by linear partial differential equations. Boundary Value Problems for Linear Partial Differential Equations provides students with the opportunity to understand and exercise the benefits of this fusion, equipping them with realistic, practical tools to study solvable linear models of electromagnetism, fluid dynamics, geophysics, optics, thermodynamics and specifically, quantum mechanics. Emphasis is devoted to motivating the use of these methods by means of concrete examples taken from physical models. Features No prerequisites apart from knowledge of differential and integral calculus and ordinary differential equations. Provides students with practical tools and applications Contains numerous examples and exercises to help readers understand the concepts discussed in the book.
Catalog of Copyright Entries. Third Series
Author: Library of Congress. Copyright OfficePublisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1666
Book Description
Boundary Value Problems of Linear Partial Differential Equations for Engineers and Scientists
Author: Shien-siu ShuPublisher: World Scientific
ISBN: 9789971504182
Category : Mathematics
Languages : en
Pages : 300
Book Description
This book is a revised version of the author's lecture notes in a graduate course of applied mathematics. It is based on the idea that it may be more interesting to learn mathematics through the introduction of concrete examples. The materials are organised in a logical order that transmits the package of mathematical knowledge and methods to the students in an efficient manner.