quasilinear hyperbolic systems compressible flows and waves

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Quasilinear Hyperbolic Systems Compressible Flows And Waves

Author : Vishnu D. Sharma
ISBN : 1439836914
Genre : Mathematics
File Size : 36. 26 MB
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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 differential equations, the book discusses the scalar conservation laws and hyperbolic systems in two independent variables. Using the method of characteristics and singular surface theory, the author then presents the evolutionary behavior of weak and mild discontinuities in a quasilinear hyperbolic system. He also explains how to apply weakly nonlinear geometrical optics in nonequilibrium and stratified gas flows and demonstrates the power, generality, and elegance of group theoretic methods for solving Euler equations of gasdynamics involving shocks. The final chapter deals with the kinematics of a shock of arbitrary strength in three dimensions. With a focus on physical applications, this text takes readers on a journey through this fascinating area of applied mathematics. It provides the essential mathematical concepts and techniques to understand the phenomena from a theoretical standpoint and to solve a variety of physical problems.

Finite Difference Schemes And Partial Differential Equations

Author : John C. Strikwerda
ISBN : 053409984X
Genre : Mathematics
File Size : 47. 91 MB
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Quasilinear Hyperbolic Systems And Waves

Author : Alan Jeffrey
ISBN : UOM:39015000490618
Genre : Differential equations, Hyperbolic
File Size : 55. 97 MB
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Waves And Compressible Flow

Author : Hilary Ockendon
ISBN : 9780387403991
Genre : Mathematics
File Size : 65. 90 MB
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This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.

Cauchy Problem For Quasilinear Hyperbolic Systems

Author : De-xing Kong
ISBN : UOM:39015050808800
Genre : Mathematics
File Size : 53. 56 MB
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Mathematical Reviews

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ISBN : UVA:X006180633
Genre : Mathematics
File Size : 24. 80 MB
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Nagoya Mathematical Journal

Author :
ISBN : UCSD:31822033907551
Genre : Mathematics
File Size : 53. 62 MB
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