| Edition |
First edition. |
| Description |
1 online resource (752 pages) |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references and index. |
| Summary |
This title provides an up-to-date, lively and approachable introduction to the mathematical formalism, numerical techniques and applications of relativistic hydrodynamics. The topic is presented here in a form which will be appreciated both by students and researchers in the field. |
| Contents |
""Cover""; ""Contents""; ""PART I: THE PHYSICS OF RELATIVISTIC HYDRODYNAMICS""; ""1 A Brief Review of General Relativity""; ""1.1 Why this chapter?""; ""1.2 The concept of spacetime""; ""1.3 Spacetime as a manifold""; ""1.4 Flat spacetime: special relativity""; ""1.5 Curved spacetimes: general relativity""; ""1.6 Einstein equations""; ""1.7 Spacetimes of astrophysical relevance""; ""1.8 Gravitational radiation""; ""1.9 Further reading""; ""1.10 Problems""; ""2 A Kinetic-Theory Description of Fluids""; ""2.1 On the fluid approximation""; ""2.2 Newtonian kinetic theory"" |
|
""2.3 Relativistic kinetic theory""""2.4 Equations of state""; ""2.5 Further reading""; ""2.6 Problems""; ""3 Relativistic Perfect Fluids""; ""3.1 Kinematic properties of fluids""; ""3.2 Mass current and energy�momentum of perfect fluids""; ""3.3 Hydrodynamics equations of perfect fluids""; ""3.4 Perfect fluids and symmetries""; ""3.5 The Newtonian limit of the hydrodynamic equations""; ""3.6 Stationary flows""; ""3.7 Irrotational flows""; ""3.8 Isentropic flows""; ""3.9 A velocity-potential approach to relativistic hydrodynamics"" |
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""3.10 A variational principle for relativistic hydrodynamics""""3.11 Perfect multifluids""; ""3.12 Further reading""; ""3.13 Problems""; ""4 Linear and Nonlinear Hydrodynamic Waves""; ""4.1 Hyperbolic systems of partial differential equations""; ""4.2 Linear and nonlinear behaviour""; ""4.3 Linear hydrodynamic waves""; ""4.4 Nonlinear hydrodynamic waves""; ""4.5 The Riemann problem""; ""4.6 Solution of the one-dimensional Riemann problem""; ""4.7 Solution of the multidimensional Riemann problem""; ""4.8 Stability of shock waves""; ""4.9 General-relativistic discontinuities"" |
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""4.10 Further reading""""4.11 Problems""; ""5 Reaction Fronts: Detonations and Deflagrations""; ""5.1 Basic properties of reaction fronts""; ""5.2 Reaction adiabat""; ""5.3 Relativistic detonations""; ""5.4 Relativistic deflagrations""; ""5.5 Stability of reaction fronts""; ""5.6 Further reading""; ""5.7 Problems""; ""6 Relativistic Non-Perfect Fluids""; ""6.1 On the four-velocity of a non-perfect fluid""; ""6.2 The energy�momentum tensor of non-perfect fluids""; ""6.3 Hydrodynamic equations of non-perfect fluids""; ""6.4 Classical Irreversible Thermodynamics (first-order theories)"" |
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""6.5 The importance of a causal theory""""6.6 Extended Irreversible Thermodynamics (second-order theories)""; ""6.7 Concluding remarks""; ""6.8 Further reading""; ""6.9 Problems""; ""PART II: NUMERICAL RELATIVISTIC HYDRODYNAMICS""; ""7 Formulations of the Einstein�Euler Equations""; ""7.1 The 3+1 decomposition of spacetime""; ""7.2 Formulations of the Einstein equations""; ""7.3 Formulations of the hydrodynamic equations""; ""7.4 Further reading""; ""7.5 Problems""; ""8 Numerical Relativistic Hydrodynamics: Finite-Difference Methods""; ""8.1 The discretisation process"" |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Relativistic fluid dynamics.
|
|
Relativistic fluid dynamics. |
|
Hydrodynamics.
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|
Hydrodynamics. |
| Genre/Form |
Electronic books.
|
| Added Author |
Zanotti, Olindo.
|
| Other Form: |
Print version: Rezzolla, L. (Luciano). Relativistic hydrodynamics. First edition. 0198528906 9780198528906 |
| ISBN |
9780191509919 (electronic book) |
|
0191509914 (electronic book) |
|
0198528906 |
|
9780198528906 |
|
9780198528906 |
|
