Quasilinear Hyperbolic Systems And Waves PDF Download
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Author | : Alan Jeffrey |
Publisher | : Pitman Publishing |
Total Pages | : 250 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Download Quasilinear Hyperbolic Systems and Waves Book in PDF, ePub and Kindle
"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.
Author | : Alfred Grundland |
Publisher | : |
Total Pages | : 202 |
Release | : 1982 |
Genre | : Differential equations, Hyperbolic |
ISBN | : |
Download Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems Book in PDF, ePub and Kindle
Author | : Vishnu D. Sharma |
Publisher | : CRC Press |
Total Pages | : 284 |
Release | : 2010-04-29 |
Genre | : Mathematics |
ISBN | : 1439836914 |
Download Quasilinear Hyperbolic Systems, Compressible Flows, and Waves Book in PDF, ePub and Kindle
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
Author | : Alan Jeffrey |
Publisher | : |
Total Pages | : 230 |
Release | : 1976 |
Genre | : |
ISBN | : |
Download Quasilinear Hyperbolic System and Waves Book in PDF, ePub and Kindle
Author | : John R. Mvungi |
Publisher | : |
Total Pages | : |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Quasilinear Hyperbolic Systems and Their Applications to Water Waves Book in PDF, ePub and Kindle
Author | : Ling Hsiao |
Publisher | : World Scientific |
Total Pages | : 233 |
Release | : 1998-02-24 |
Genre | : Mathematics |
ISBN | : 9814497185 |
Download Quasilinear Hyperbolic Systems And Dissipative Mechanisms Book in PDF, ePub and Kindle
This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws - the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves.
Author | : Tatsien Li |
Publisher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2009-09-01 |
Genre | : Science |
ISBN | : 0817646353 |
Download Global Propagation of Regular Nonlinear Hyperbolic Waves Book in PDF, ePub and Kindle
This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the authors. Topics are motivated with a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Aimed at researchers and graduate students in partial differential equations and related topics, this book will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.
Author | : Tatsien Li |
Publisher | : Birkhäuser |
Total Pages | : 252 |
Release | : 2011-11-02 |
Genre | : Science |
ISBN | : 9780817671686 |
Download Global Propagation of Regular Nonlinear Hyperbolic Waves Book in PDF, ePub and Kindle
This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the authors. Topics are motivated with a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Aimed at researchers and graduate students in partial differential equations and related topics, this book will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.
Author | : Tatsien Li |
Publisher | : Springer |
Total Pages | : 114 |
Release | : 2016-11-08 |
Genre | : Science |
ISBN | : 9811028427 |
Download Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems Book in PDF, ePub and Kindle
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.
Author | : Eduardo H. Zarantonello |
Publisher | : Academic Press |
Total Pages | : 687 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483266621 |
Download Contributions to Nonlinear Functional Analysis Book in PDF, ePub and Kindle
Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.