This work is devoted to the theory and approximation of nonlinear hyperbolic systems of conservation laws in one or two spaces variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. While in the earlier publication, the authors concentrate on the mathematical theory of multidimensional scalar conservation laws, in this work, they consider systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems.
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a great book,
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This review is from: Numerical Approximation of Hyperbolic Systems of Conservation Laws (Applied Mathematical Sciences) (Hardcover)
A classic book on hyperbolic PDEs, although it does not contain some new methods, but still is a must have book for anyone interested in hyperbolic conservation laws.
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The main goal of this chapter is to study the Riemann problem for a general nonlinear hyperbolic system of conservation laws in one space dimension. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
kth characteristic field, kth field, polytropic ideal gas, gas dynamics equations, nonconservative variables, scalar advection equation, admissible shock, strong deflagrations, nonconservative form, unique entropy solution, slab symmetry, strictly convex entropy, unburnt gas, hyperbolic problems, kinetic entropy, supersonic inflow, shock curves, vanishing viscosity method, viscous profile, thermally perfect gas, numerical flux, supersonic outflow, systèmes hyperboliques, subsonic outflow, strong detonation Key Phrases - Capitalized Phrases (CAPs): (learn more)
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The main goal of this chapter is to study the Riemann problem for a general nonlinear hyperbolic system of conservation laws in one space dimension. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
kth characteristic field, kth field, polytropic ideal gas, gas dynamics equations, nonconservative variables, scalar advection equation, admissible shock, strong deflagrations, nonconservative form, unique entropy solution, slab symmetry, strictly convex entropy, unburnt gas, hyperbolic problems, kinetic entropy, supersonic inflow, shock curves, vanishing viscosity method, viscous profile, thermally perfect gas, numerical flux, supersonic outflow, systèmes hyperboliques, subsonic outflow, strong detonation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Rankine Hugoniot New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 76
books:
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60
books
cite this book:
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- Computing Methods In Applied Sciences by R Glowinski on 8 pages
- Computing Methods in Applied Sciences and Engineering (International Symposium on Computing Methods in Applied Science and Engineering//Proceedings) by Roland Glowinski on 8 pages
- Multidimensional Hyperbolic Problems and Computations (The IMA Volumes in Mathematics and its Applications) by James Glimm on 5 pages
- Systems of Nonlinear Partial Differential Equations (NATO Science Series C: (closed)) by J.M. Ball in Back Matter (1), and Back Matter (2)
- The Boltzmann Equation and Its Applications (Applied Mathematical Sciences) by Carlo Cercignani in Back Matter (1), and Back Matter (2)
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- Analysis and Numerics for Conservation Laws by Gerald Warnecke on page 361, and page 449
- Acta Numerica 2003: Volume 12 by Arieh Iserles on page 169, and page 503
- Hyperbolic Problems: Theory, Numerics, Applications by Thomas Y. Hou on page 418, and page 442
- Random Perturbation Methods by Anatoli V. Skorokhod on page
- Dynamics in Infinite Dimensions by Jack K. Hale in Back Matter
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