Download or read book Theory and Application of Hyperbolic Systems of Quasilinear Equations written by Hyun-Ku Rhee and published by Prentice Hall. This book was released on 1986 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book First order Partial Differential Equations Theory and application of hyperbolic systems of quasilinear equations written by Hyun-Ku Rhee and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book First order Partial Differential Equations Theory and application of single equations written by Hyun-Ku Rhee and published by Prentice Hall. This book was released on 1986 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasilinear Hyperbolic Systems Compressible Flows and Waves written by Vishnu D. Sharma and published by CRC Press. This book was released on 2010-04-29 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.After linking continuum mechanics and quasilinear partial di
Download or read book Theory and Application of Hyperbolic Systems of Quasilinear Equations written by Hyun-Ku Rhee and published by Prentice Hall. This book was released on 1986 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Beyond Partial Differential Equations written by Horst Reinhard Beyer and published by Springer. This book was released on 2007-04-10 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quasilinear Hyperbolic Systems and Waves written by Alan Jeffrey and published by Pitman Publishing. This book was released on 1976 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.
Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenskiĭ and published by . This book was released on 1983 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Systems of Nonlinear Partial Differential Equations written by J.M. Ball and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Hyperbolic Problems Theory Numerics And Applications In 2 Volumes written by Tatsien Li and published by World Scientific. This book was released on 2012-09-28 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms.This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ';Hyperbolic Partial Differential Equations';. It is aimed at mathematicians, researchers in applied sciences and graduate students.
Download or read book Nonlinear Hyperbolic Equations Spectral Theory and Wavelet Transformations written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2003-10-24 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on recent developments in non-linear and hyperbolic equations. In the first contribution, the singularities of the solutions of several classes of non-linear partial differential equations are investigated. Applications concern the Monge-Ampère equation, quasi-linear systems arising in fluid mechanics as well as integro-differential equations for media with memory. There follows an article on L_p-L_q decay estimates for Klein-Gordon equations with time-dependent coefficients, explaining, in particular, the influence of the relation between the mass term and the wave propagation speed. The next paper addresses questions of local existence of solutions, blow-up criteria, and C^8 regularity for quasilinear weakly hyperbolic equations. Spectral theory of semibounded selfadjoint operators is the topic of a further contribution, providing upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates. TOC:Contributions: Nonlinear PDE. Singularities, Propagation, Applications (P.R. Popivanov).- From Wave to Klein-Gordon Type Decay Rates (F. Hirosawa and M. Reissig).- Local Solutions to Quasilinear Qeakly Hyperbolic Differential Equations (M. Dreher).- S(M,g)-pseudo-differential Calculus of Manifolds (F. Baldus).- Domain Perturbations and Capacity in General Hilbert Spaces and Applications to Spectral Theory (A. Noll).- An Interpolation Family between Gabor and Wavelet Transformations (B. Nazaret and M. Holschneider).- Formes de Torsion Analytique et Fibrations Singulières (Xiaonan Ma).- Regularisation of Secondary Characteristic Classes and Unusual Index Formulas for Operator-Valued Symbols (G. Rozenblum).
Download or read book Well posedness of Linear Hyperbolic Problems written by Aleksandr Mikhaĭlovich Blokhin and published by Nova Publishers. This book was released on 2006 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book will be useful for students and specialists of partial differential equations and the mathematical sciences because it clarifies crucial points of Kreiss' symmetrizer technique. The Kreiss technique was developed by H.O. Kreiss for initial boundary value problems for linear hyperbolic systems. This technique is important because it involves equations that are used in many of the applied sciences. The research presented in this book takes unique approaches to exploring the Kreiss technique that will add insight and new perspectives to linear hyperbolic problems"--Publ. web site.
Download or read book From Hyperbolic Systems to Kinetic Theory written by Luc Tartar and published by Springer Science & Business Media. This book was released on 2008-02-26 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tartar relies on H-measures, a tool created for homogenization, to explain some of the weaknesses in the theory. These include looking at the subject from the point of view of quantum mechanics. Here, there are no "particles", so the Boltzmann equation and the second principle, can’t apply.
Download or read book Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems written by Tatsien Li and published by Springer. This book was released on 2016-11-08 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications. This kind of controllability is useful in practice as it does not require any precisely given final state to be attained at a suitable time t=T by means of boundary controls, instead it requires the state to exactly fit any given demand (profile) on one or more nodes after a suitable time t=T by means of boundary controls. In this book we present a general discussion of this kind of controllability for general 1-D first order quasilinear hyperbolic systems and for general 1-D quasilinear wave equations on an interval as well as on a tree-like network using a modular-structure construtive method, suggested in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we establish a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.
Download or read book Elliptic Hyperbolic Partial Differential Equations written by Thomas H. Otway and published by Springer. This book was released on 2015-07-08 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example: • The heating of fusion plasmas by electromagnetic waves • The behaviour of light near a caustic • Extremal surfaces in the space of special relativity • The formation of rapids; transonic and multiphase fluid flow • The dynamics of certain models for elastic structures • The shape of industrial surfaces such as windshields and airfoils • Pathologies of traffic flow • Harmonic fields in extended projective space They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications. Elliptic−Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form.
