rent-now

Rent More, Save More! Use code: ECRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

9780199211234

Multi-dimensional Hyperbolic Partial Differential Equations First-order Systems and Applications

by ;
  • ISBN13:

    9780199211234

  • ISBN10:

    019921123X

  • Format: Hardcover
  • Copyright: 2007-01-18
  • Publisher: Oxford University Press

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

List Price: $202.66 Save up to $90.67
  • Rent Book $136.80
    Add to Cart Free Shipping Icon Free Shipping

    TERM
    PRICE
    DUE
    USUALLY SHIPS IN 3-5 BUSINESS DAYS
    *This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.

How To: Textbook Rental

Looking to rent a book? Rent Multi-dimensional Hyperbolic Partial Differential Equations First-order Systems and Applications [ISBN: 9780199211234] for the semester, quarter, and short term or search our site for other textbooks by Benzoni-Gavage, Sylvie; Serre, Denis. Renting a textbook can save you up to 90% from the cost of buying.

Summary

Authored by leading scholars, this comprehensive, self-contained text presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids. With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

Table of Contents

Preface
Introduction
Notations
The linear Cauchy problem
Linear Cauchy problem with constant coefficients
Linear Cauchy problem with variable coefficients
The linear initial boundary value problem
Friedrichs symmetric dissipative IBVPs
Initial boundary value problem in a half-space with constant coefficients
Construction of a symmetrizer under (UKL)
The characteristic IBVP
The homogeneous IBVP
A classification of linear IBVPs
Variable coefficients initial boundary value problems
Nonlinear problems
The Cauchy problem for quasilinear systems
The mixed problem for quasilinear systems
Persistence of multidimensional shocks
Applications to gas dynamics
The Euler equations for real fluids
Boundary conditions for Euler equations
Shock stability in gas dynamics
Appendix
Basic calculus results
Fourier and Laplace analysis
Pseudo/para-differential calculus
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rewards Program