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 254 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 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 Simple Waves and Their Interactions in Quasilinear Hyperbolic Systems written by Alfred Grundland and published by . This book was released on 1982 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasilinear Hyperbolic System and Waves written by Alan Jeffrey and published by . This book was released on 1976 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasilinear Hyperbolic Systems and Their Applications to Water Waves written by John R. Mvungi and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasilinear Hyperbolic Systems And Dissipative Mechanisms written by Ling Hsiao and published by World Scientific. This book was released on 1998-02-24 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Global Propagation of Regular Nonlinear Hyperbolic Waves written by Tatsien Li and published by Springer Science & Business Media. This book was released on 2009-09-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Global Propagation of Regular Nonlinear Hyperbolic Waves written by Tatsien Li and published by Birkhäuser. This book was released on 2011-11-02 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Global Classical Solutions for Quasilinear Hyperbolic Systems written by Daqian Li and published by . This book was released on 1994-09-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic presentation of the global classical solution and the global classical discontinuous solution to quasilinear hyperbolic systems. This book is a result of the author's research on the Cauchy problem, boundary value problems, free boundary problems and the generalised Riemann problem.
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 53 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 Large Time Behavior of Solutions for General Quasilinear Hyperbolic Parabolic Systems of Conservation Laws written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 1997 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-asymptotic behavior of the solutions. This yields optimal estimates in the integral norms. For most physical models, the viscosity matrix is not positive definite and the system is hyperbolic-parabolic, and not uniformly parabolic. This implies that the Green's function may contain Dirac [lowercase Greek]Delta-functions. When the corresponding inviscid system is non-strictly hyperbolic, the time-asymptotic state contains generalized Burgers solutions. These are illustrated by applying our general theory to the compressible Navier-Stokes equations and the equations of magnetohydrodynamics.
Download or read book Contributions to Nonlinear Functional Analysis written by Eduardo H. Zarantonello and published by Academic Press. This book was released on 2014-05-10 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Exact and Piecewise Constant Approximate Solutions of Quasilinear Hyperbolic Systems of Equations with and Without Weak Convexity Conditions written by Lewis Leibovich and published by . This book was released on 1971 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Quasilinear Hyperbolic Systems with Stiff Relaxation Source Terms written by Eliezer Guz and published by . This book was released on 2011 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cauchy Problem for Quasilinear Hyperbolic Systems written by De-xing Kong and published by . This book was released on 2000-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
