4 edition of **Quasilinear hyperbolic systems, compressible flows, and waves** found in the catalog.

- 290 Want to read
- 18 Currently reading

Published
**2010**
by Chapman & Hall/CRC in Boca Raton
.

Written in English

- Wave equation -- Numerical solutions,
- Differential equations, Hyperbolic -- Numerical solutions,
- Quasilinearization

**Edition Notes**

Includes bibliographical references and index.

Statement | Vishnu D. Sharma. |

Series | Monographs and surveys in pure and applied mathematics -- 142 |

Classifications | |
---|---|

LC Classifications | QC174.26.W28 S395 2010 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL24123858M |

ISBN 10 | 9781439836903 |

LC Control Number | 2010008125 |

OCLC/WorldCa | 475450636 |

() Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media. Communications in Partial Differential Equations , () Global existence of BV solutions and relaxation limit for a model of multiphase reactive by: Abstract. We consider a system of isentropic flow through porous media and show that nonlinear diffusive phenomena occur even if there are shocks in the flow. 1. Introduction. We study the following hyperbolic conservation laws with damp-ing: {V* — ux = 0, File Size: KB.

In this paper we consider the existence and stability of traveling wave solutions to Cauchy problem of diagonalizable quasilinear hyperbolic systems. Under the appropriate small oscillation assumptions on the initial traveling waves, we derive the stability result of the traveling wave solutions, especially for intermediate traveling by: 3. Open Library is an open, editable library catalog, building towards a web page for every book ever published. Quasilinear hyperbolic systems and waves by Alan Jeffrey, , Pitman edition, in EnglishPages:

Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables Wancheng Sheng Department of Mathematics, Shanghai University (Joint with Yanbo Hu) Joint Workshop on Partial Di erential Equations Shanghai Jiaotong University, Shanghai, China November 15 . Read "Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables, Mathematical Methods in the Applied Sciences" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

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Filled Quasilinear hyperbolic systems 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 by: 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. 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 linking continuum mechanics and quasilinear partial diCited by: Quasilinear hyperbolic systems and waves (Research notes in mathematics) Paperback – by Alan Jeffrey (Author) › Visit Amazon's Alan Jeffrey Page.

Find all the books, read about the author, and more. See search results for this author. Are you an author. Cited by: Weak Nonlinear Waves in an Ideal Plasma Relatively Undistorted Waves. Asymptotic Waves for Quasilinear Systems Weakly Nonlinear Geometrical Optics Far Field Behavior Energy Dissipated across Shocks Evolution Equation Describing Mixed Nonlinearity Singular Ray Expansions Resonantly Interacting Waves.

Self-Similar Solutions Involving Discontinuities and Their Interaction Waves in. 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.

We construct global solutions for quasilinear hyperbolic systems and study their asymptotic behaviors.

The systems include models of gas flows in a variable area duct and flows with a moving source. Our analysis is based on a numerical scheme which generalizes the Glimm scheme for hyperbolic conservation by: Quasilinear Hyperbolic Systems, Compressible Flows, and Waves, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, CRC Press, Boca Raton, FL, xiv+ pp.

ISBN: Sudhir R. Ghorpade and Balmohan V. Limaye. Try the new Google Books. Check out the new look and enjoy easier access to your favorite features. Try it now Nonlinear Equations and Quasilinear Systems.

1: Two Independent Variables. Hyperbolic Systems and Characteristics. Alan Jeffrey Snippet view - Quasilinear Hyperbolic Systems and Waves Alan Jeffrey Snippet view.

Quasilinear hyperbolic systems, compressible flows, and waves. [Vishnu D Sharma] -- Filled with practical examples, this book presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications.

It emphasizes nonlinear theory and introduces some of Your Web browser is not enabled for JavaScript. "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.". Chapter 2 Cauchy problem for reducible quasilinear hyperbolic Systems 29 1. Reducible quasilinear hyperbolic Systems and examples 29 Reducible quasilinear hyperbolic Systems 29 Example 1—the system of one-dimensional isentropic flow in Eulerian representation 31 Example 2—the system of one-dimensional isentropic flow in.

Publication Data. We establish the existence and the stability of traveling wave solutions of a quasi-linear hyperbolic system with both relaxation and diffusion. The traveling wave solutions are shown to be asymptotically stable under small disturbances and under the subcharacteristic condition using a weighted energy by: This paper is concerned with the existence and stability of traveling wave solutions to first-order quasilinear hyperbolic systems.

First we give explicit formulas for the n families of C1. Characteristic decomposition of the quasilinear strictly hyperbolic systems. This paper is devoted to extending the well-known result on reducible equations in Courant and Friedrichs’ book “Supersonic flow and shock waves”, that any hyperbolic state adjacent to a constant state must be a simple wave.

Hyperbolic System Geometric Optic Geometric Optic Approximation Quasilinear Hyperbolic System Compressible Fluid Flow These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm by: 1.

Interaction of Elementary Waves for Compressible Euler Equations with Frictional Damping. Author links T. LuoNonlinear diffusive phenomena of solutions of the weak entropy solutions for the quasilinear hyperbolic systems of S. TangGlobal perturbation of the Riemann problem for the system of compressible flow through porous Cited by: Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws About this Title.

Tai-Ping Liu and Yanni Zeng. Publication: Memoirs of the American Mathematical Society Publication Year VolumeNumber ISBNs:. Characteristic decomposition of the 2 × 2 quasilinear strictly hyperbolic systems This paper is devoted to extending the well-known result on reducible equations in Courant and Friedrichs’ book “Supersonic flow and shock waves”, that any hyperbolic state adjacent to a constant state must be a simple wave.

Another important Cited by: 8. This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed.

Among the topics carefully presented in the book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear. A complete theory has been established for linear hyperbolic systems, in particular, for linear wave equations.

There have also been some results for semilinear wave equations. For quasilinear hyperbolic systems that have numerous applications in mechanics, physics and other applied sciences, however, very few results are available even with.

We consider a two-dimensional compressible Euler system for a non-ideal gas, and use the characteristic decomposition to establish that any pseudo-steady isentropic irrotational flow, adjacent to a constant state, must be a simple by: 2.T.-P.

Liu and Y. Zeng, Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws, Memoirs of the American Mathematical Society (American Mathematical Society, Providence, RI, ).

Google Scholar; A. Matsumura and T. Nishida, J. Math. Kyoto Univ. 20(1), 67 (). Google ScholarCited by: