Author: Hyun-Ku RheePublisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 570
Book Description
First-order Partial Differential Equations: Theory and application of single equations
Author: Hyun-Ku RheePublisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 570
Book Description
Theory and Application of Hyperbolic Systems of Quasilinear Equations
Author: Hyun-Ku RheePublisher: Prentice Hall
ISBN: 9780133192377
Category : Mathematics
Languages : en
Pages : 568
Book Description
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
Author: Peter D. LaxPublisher: SIAM
ISBN: 0898711770
Category : Technology & Engineering
Languages : en
Pages : 55
Book Description
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.
Systems of Nonlinear Partial Differential Equations
Author: J.M. BallPublisher: Springer Science & Business Media
ISBN: 9400971893
Category : Mathematics
Languages : en
Pages : 476
Book Description
This volume contains the proceedings of a NATO/London Mathematical Society Advanced Study Institute held in Oxford from 25 July - 7 August 1982. The institute concerned the theory and applications of systems of nonlinear partial differential equations, with emphasis on techniques appropriate to systems of more than one equation. Most of the lecturers and participants were analysts specializing in partial differential equations, but also present were a number of numerical analysts, workers in mechanics, and other applied mathematicians. The organizing committee for the institute was J.M. Ball (Heriot-Watt), T.B. Benjamin (Oxford), J. Carr (Heriot-Watt), C.M. Dafermos (Brown), S. Hildebrandt (Bonn) and J.S. pym (Sheffield) . The programme of the institute consisted of a number of courses of expository lectures, together with special sessions on different topics. It is a pleasure to thank all the lecturers for the care they took in the preparation of their talks, and S.S. Antman, A.J. Chorin, J.K. Hale and J.E. Marsden for the organization of their special sessions. The institute was made possible by financial support from NATO, the London Mathematical Society, the u.S. Army Research Office, the u.S. Army European Research Office, and the u.S. National Science Foundation. The lectures were held in the Mathematical Institute of the University of Oxford, and residential accommodation was provided at Hertford College.
Beyond Partial Differential Equations
Author: Horst Reinhard BeyerPublisher: Springer
ISBN: 3540711295
Category : Mathematics
Languages : en
Pages : 291
Book Description
This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.
Systems of Quasilinear Equations and Their Applications to Gas Dynamics
Author: Boris Leonidovich Rozhdestvenski_Publisher: American Mathematical Soc.
ISBN: 9780821898062
Category : Science
Languages : en
Pages : 700
Book Description
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
Theory and Application of Hyperbolic Systems of Quasilinear Equations
Author: Hyun-Ku RheePublisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 568
Book Description
First-order Partial Differential Equations: Theory and application of hyperbolic systems of quasilinear equations
Author: Hyun-Ku RheePublisher: Courier Dover Publications
ISBN: 9780486419947
Category : Differential equations, Partial
Languages : en
Pages : 0
Book Description
Hyperbolic Partial Differential Equations
Author: Serge AlinhacPublisher: Springer Science & Business Media
ISBN: 0387878238
Category : Mathematics
Languages : en
Pages : 159
Book Description
This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.
Introduction to Partial Differential Equations with Applications
Author: E. C. ZachmanoglouPublisher: Courier Corporation
ISBN: 048613217X
Category : Mathematics
Languages : en
Pages : 434
Book Description
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.