Hyperbolic Functional Differential Inequalities and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401146357
Total Pages : 318 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hyperbolic Functional Differential Inequalities and Applications by : Z. Kamont

Download or read book Hyperbolic Functional Differential Inequalities and Applications written by Z. Kamont and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a self-contained exposition of hyperbolic functional dif ferential inequalities and their applications. Its aim is to give a systematic and unified presentation of recent developments of the following problems: (i) functional differential inequalities generated by initial and mixed problems, (ii) existence theory of local and global solutions, (iii) functional integral equations generated by hyperbolic equations, (iv) numerical method of lines for hyperbolic problems, (v) difference methods for initial and initial-boundary value problems. Beside classical solutions, the following classes of weak solutions are treated: Ca ratheodory solutions for quasilinear equations, entropy solutions and viscosity so lutions for nonlinear problems and solutions in the Friedrichs sense for almost linear equations. The theory of difference and differential difference equations ge nerated by original problems is discussed and its applications to the constructions of numerical methods for functional differential problems are presented. The monograph is intended for different groups of scientists. Pure mathemati cians and graduate students will find an advanced theory of functional differential problems. Applied mathematicians and research engineers will find numerical al gorithms for many hyperbolic problems. The classical theory of partial differential inequalities has been described exten sively in the monographs [138, 140, 195, 225). As is well known, they found applica tions in differential problems. The basic examples of such questions are: estimates of solutions of partial equations, estimates of the domain of the existence of solu tions, criteria of uniqueness and estimates of the error of approximate solutions.

Annales Polonici mathematici

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Publisher :
ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Annales Polonici mathematici by :

Download or read book Annales Polonici mathematici written by and published by . This book was released on 2003 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cauchy Problem

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Publisher : Cambridge University Press
ISBN 13 : 0521302382
Total Pages : 664 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis The Cauchy Problem by : Hector O. Fattorini

Download or read book The Cauchy Problem written by Hector O. Fattorini and published by Cambridge University Press. This book was released on 1983 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.

Discussiones mathematicae

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Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discussiones mathematicae by :

Download or read book Discussiones mathematicae written by and published by . This book was released on 1993 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

First-Order Partial Differential Equations, Vol. 1

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Publisher : Courier Corporation
ISBN 13 : 0486146200
Total Pages : 561 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis First-Order Partial Differential Equations, Vol. 1 by : Hyun-Ku Rhee

Download or read book First-Order Partial Differential Equations, Vol. 1 written by Hyun-Ku Rhee and published by Courier Corporation. This book was released on 2014-05-05 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices.

Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3031466187
Total Pages : 768 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Partial Differential Equations by : Emmanuele DiBenedetto

Download or read book Partial Differential Equations written by Emmanuele DiBenedetto and published by Springer Nature. This book was released on 2023 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The “Problems and Complements” sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students. Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.

Recent Developments in Evolution Equations

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Publisher : CRC Press
ISBN 13 : 9780582246690
Total Pages : 268 pages
Book Rating : 4.2/5 (466 download)

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Book Synopsis Recent Developments in Evolution Equations by : G F Roach

Download or read book Recent Developments in Evolution Equations written by G F Roach and published by CRC Press. This book was released on 1995-04-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the majority of talks given at an International Converence held recently at the University of Strathclyde in Glasgow. The works presented focus on the analysis of mathematical models of systems evolving with time. The main topics are semigroups and related subjects connected with applications to partial differential equations of evolution type. Topics of particular interest include spectral and asymptotic properties of semigroups, B evolution scattering theory, and coagulation fragmentation phenomena.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves

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Publisher : SIAM
ISBN 13 : 0898711770
Total Pages : 55 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves by : Peter D. Lax

Download or read book Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves written by Peter D. Lax and published by SIAM. This book was released on 1973-01-01 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.

Recent Advances in Partial Differential Equations, Venice 1996

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Publisher : American Mathematical Soc.
ISBN 13 : 0821806572
Total Pages : 407 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Partial Differential Equations, Venice 1996 by : Peter D. Lax

Download or read book Recent Advances in Partial Differential Equations, Venice 1996 written by Peter D. Lax and published by American Mathematical Soc.. This book was released on 1998 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.

Handbook of Differential Equations: Evolutionary Equations

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Publisher : Elsevier
ISBN 13 : 0080461387
Total Pages : 677 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Differential Equations: Evolutionary Equations by : C.M. Dafermos

Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2005-10-05 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim here is to collect review articles, written by leading experts, which will highlight the present and expected future directions of development of the field. The emphasis will be on nonlinear equations, which pose the most challenging problems today.. Volume I of this Handbook does focus on the abstract theory of evolutionary equations. . Volume 2 considers more concrete problems relating to specific applications. . Together they provide a panorama of this amazingly complex and rapidly developing branch of mathematics.

First-Order Partial Differential Equations, Vol. 2

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Publisher : Courier Corporation
ISBN 13 : 0486150364
Total Pages : 582 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis First-Order Partial Differential Equations, Vol. 2 by : Hyun-Ku Rhee

Download or read book First-Order Partial Differential Equations, Vol. 2 written by Hyun-Ku Rhee and published by Courier Corporation. This book was released on 2013-05-17 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of counter-current moving-bed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to anyone with a thorough grounding in undergraduate mathematics — ideally including volume 1 of this set. 1989 edition. 198 black-and-white illustrations. Author and subject indices.

Partial Differential Equations

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Publisher : New Age International
ISBN 13 : 9780852267226
Total Pages : 268 pages
Book Rating : 4.2/5 (672 download)

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Book Synopsis Partial Differential Equations by : Phoolan Prasad

Download or read book Partial Differential Equations written by Phoolan Prasad and published by New Age International. This book was released on 1985 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a basic introductory course in partial differential equations, in which theory and applications are interrelated and developed side by side. Emphasis is on proofs, which are not only mathematically rigorous, but also constructive, where the structure and properties of the solution are investigated in detail. The authors feel that it is no longer necessary to follow the tradition of introducing the subject by deriving various partial differential equations of continuum mechanics and theoretical physics. Therefore, the subject has been introduced by mathematical analysis of the simplest, yet one of the most useful (from the point of view of applications), class of partial differential equations, namely the equations of first order, for which existence, uniqueness and stability of the solution of the relevant problem (Cauchy problem) is easy to discuss. Throughout the book, attempt has been made to introduce the important ideas from relatively simple cases, some times by referring to physical processes, and then extending them to more general systems.

Recent Advances in Nonlinear Partial Differential Equations and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842110
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Nonlinear Partial Differential Equations and Applications by : Luis López Bonilla

Download or read book Recent Advances in Nonlinear Partial Differential Equations and Applications written by Luis López Bonilla and published by American Mathematical Soc.. This book was released on 2007 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles of this book are written by leading experts in partial differential equations and their applications, who present overviews here of recent advances in this broad area of mathematics. The formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, effects due to entropy in hyperbolic conservation laws, the Navier-Stokes and other limits of the Boltzmann equation, occupancy times for Brownian motion in a two dimensional wedge, and new methods of analyzing and solving integrable systems are some of this volume's subjects. The reader will find an exposition of important advances without a lot of technicalities and with an emphasis on the basic ideas of this field.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Partial Differential Equations with Applications

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Publisher : Courier Corporation
ISBN 13 : 048613217X
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou

Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.