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Lecture notes on turbulence and coherent structures in fluids, plasmas and nonlinear media [[electronic resource] /] / editors, Michael Shats, Horst Punzmann
| Lecture notes on turbulence and coherent structures in fluids, plasmas and nonlinear media [[electronic resource] /] / editors, Michael Shats, Horst Punzmann |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (397 p.) |
| Disciplina | 530.42 |
| Altri autori (Persone) |
ShatsMichael
PunzmannHorst |
| Collana | World Scientific lecture notes in complex systems |
| Soggetto topico |
Turbulence - Mathematical models
Hydrodynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91926-8
9786611919269 981-277-407-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1. Introduction to Developed Turbulence; 1.1. Introduction; 1.2. Weak wave turbulence; 1.3. Strong wave turbulence; 1.4. Incompressible turbulence; 1.5. Zero modes and anomalous scaling; Bibliography; Chapter 2. Renormalization and Statistical Methods; 2.1. Introduction; 2.2. Overview of renormalization in physics with application to turbulence; 2.2.1. The basic programme of statistical physics; 2.2.2. Theoretical approaches; 2.2.3. Perturbation theory; 2.2.4. Mean-field theories; 2.2.5. Problems with many scales: the renormalization group
2.3. Renormalized perturbation theories and two-point turbulence closures2.3.1. A brief history of closures; 2.3.2. Basic equations in k-space; 2.3.3. Quasi-normality hypothesis; 2.3.4. Perturbation theory; 2.3.5. Quasi-normality versus perturbation theory; 2.3.6. Renormalised perturbation theory (RPT): the general idea; 2.3.7. Assessment of the pioneering RPTs; 2.3.8. The local energy transfer (LET) theory; 2.3.9. Numerical computation of RPTs; 2.3.10. Perceptions of RPTs; 2.3.11. New developments in LET; 2.3.12. Single-time LET equations 3.2.3. A fundamental problem3.3. Energy input; 3.3.1. Surface momentum forcing; 3.3.2. Tidal forcing; 3.3.3. Buoyancy forcing; 3.4. Energetics of mixing; 3.4.1. A simple example; 3.4.2. Stability of stratified shear flows; 3.4.3. Turbulent stratified shear flows; 3.4.4. Mixing associated with the abyssal stratification; 3.5. Energy transformations; 3.5.1. Internal wave pathway; 3.5.2. The meso-scale eddy pathway; 3.6. Summary and conclusions; Chapter 4. Analytical Descriptions of Plasma Turbulence; 4.1. LECTURE 1 - Introduction to Plasma Turbulence 4.1.1. The Liouville and Klimontovich equations, the Vlasov - Poisson system, and plasma kinetic equations4.1.2. Basic concepts of linear theory; 4.1.3. The gyrokinetic description; 4.1.4. Drift waves and the Hasegawa-Mima equation; 4.1.5. The gyrokinetic transport problem; 4.1.6. Some other important equations; 4.1.7. The transition to plasma turbulence; 4.2. LECTURE 2 - Statistical Closures and Plasma Turbulence; 4.2.1. Quasilinear theory; 4.2.2. Weak-turbulence theory; 4.2.3. Resonance-broadening theory; 4.2.4. ""Systematic"" renormalization and the direct-interaction approximation 4.2.5. Markovian closures |
| Record Nr. | UNINA-9910453686803321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lecture notes on turbulence and coherent structures in fluids, plasmas and nonlinear media [[electronic resource] /] / editors, Michael Shats, Horst Punzmann
| Lecture notes on turbulence and coherent structures in fluids, plasmas and nonlinear media [[electronic resource] /] / editors, Michael Shats, Horst Punzmann |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (397 p.) |
| Disciplina | 530.42 |
| Altri autori (Persone) |
ShatsMichael
PunzmannHorst |
| Collana | World Scientific lecture notes in complex systems |
| Soggetto topico |
Turbulence - Mathematical models
Hydrodynamics |
| ISBN |
1-281-91926-8
9786611919269 981-277-407-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1. Introduction to Developed Turbulence; 1.1. Introduction; 1.2. Weak wave turbulence; 1.3. Strong wave turbulence; 1.4. Incompressible turbulence; 1.5. Zero modes and anomalous scaling; Bibliography; Chapter 2. Renormalization and Statistical Methods; 2.1. Introduction; 2.2. Overview of renormalization in physics with application to turbulence; 2.2.1. The basic programme of statistical physics; 2.2.2. Theoretical approaches; 2.2.3. Perturbation theory; 2.2.4. Mean-field theories; 2.2.5. Problems with many scales: the renormalization group
2.3. Renormalized perturbation theories and two-point turbulence closures2.3.1. A brief history of closures; 2.3.2. Basic equations in k-space; 2.3.3. Quasi-normality hypothesis; 2.3.4. Perturbation theory; 2.3.5. Quasi-normality versus perturbation theory; 2.3.6. Renormalised perturbation theory (RPT): the general idea; 2.3.7. Assessment of the pioneering RPTs; 2.3.8. The local energy transfer (LET) theory; 2.3.9. Numerical computation of RPTs; 2.3.10. Perceptions of RPTs; 2.3.11. New developments in LET; 2.3.12. Single-time LET equations 3.2.3. A fundamental problem3.3. Energy input; 3.3.1. Surface momentum forcing; 3.3.2. Tidal forcing; 3.3.3. Buoyancy forcing; 3.4. Energetics of mixing; 3.4.1. A simple example; 3.4.2. Stability of stratified shear flows; 3.4.3. Turbulent stratified shear flows; 3.4.4. Mixing associated with the abyssal stratification; 3.5. Energy transformations; 3.5.1. Internal wave pathway; 3.5.2. The meso-scale eddy pathway; 3.6. Summary and conclusions; Chapter 4. Analytical Descriptions of Plasma Turbulence; 4.1. LECTURE 1 - Introduction to Plasma Turbulence 4.1.1. The Liouville and Klimontovich equations, the Vlasov - Poisson system, and plasma kinetic equations4.1.2. Basic concepts of linear theory; 4.1.3. The gyrokinetic description; 4.1.4. Drift waves and the Hasegawa-Mima equation; 4.1.5. The gyrokinetic transport problem; 4.1.6. Some other important equations; 4.1.7. The transition to plasma turbulence; 4.2. LECTURE 2 - Statistical Closures and Plasma Turbulence; 4.2.1. Quasilinear theory; 4.2.2. Weak-turbulence theory; 4.2.3. Resonance-broadening theory; 4.2.4. ""Systematic"" renormalization and the direct-interaction approximation 4.2.5. Markovian closures |
| Record Nr. | UNINA-9910782307903321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lecture notes on turbulence and coherent structures in fluids, plasmas and nonlinear media [[electronic resource] /] / editors, Michael Shats, Horst Punzmann
| Lecture notes on turbulence and coherent structures in fluids, plasmas and nonlinear media [[electronic resource] /] / editors, Michael Shats, Horst Punzmann |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (397 p.) |
| Disciplina | 530.42 |
| Altri autori (Persone) |
ShatsMichael
PunzmannHorst |
| Collana | World Scientific lecture notes in complex systems |
| Soggetto topico |
Turbulence - Mathematical models
Hydrodynamics |
| ISBN |
1-281-91926-8
9786611919269 981-277-407-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1. Introduction to Developed Turbulence; 1.1. Introduction; 1.2. Weak wave turbulence; 1.3. Strong wave turbulence; 1.4. Incompressible turbulence; 1.5. Zero modes and anomalous scaling; Bibliography; Chapter 2. Renormalization and Statistical Methods; 2.1. Introduction; 2.2. Overview of renormalization in physics with application to turbulence; 2.2.1. The basic programme of statistical physics; 2.2.2. Theoretical approaches; 2.2.3. Perturbation theory; 2.2.4. Mean-field theories; 2.2.5. Problems with many scales: the renormalization group
2.3. Renormalized perturbation theories and two-point turbulence closures2.3.1. A brief history of closures; 2.3.2. Basic equations in k-space; 2.3.3. Quasi-normality hypothesis; 2.3.4. Perturbation theory; 2.3.5. Quasi-normality versus perturbation theory; 2.3.6. Renormalised perturbation theory (RPT): the general idea; 2.3.7. Assessment of the pioneering RPTs; 2.3.8. The local energy transfer (LET) theory; 2.3.9. Numerical computation of RPTs; 2.3.10. Perceptions of RPTs; 2.3.11. New developments in LET; 2.3.12. Single-time LET equations 3.2.3. A fundamental problem3.3. Energy input; 3.3.1. Surface momentum forcing; 3.3.2. Tidal forcing; 3.3.3. Buoyancy forcing; 3.4. Energetics of mixing; 3.4.1. A simple example; 3.4.2. Stability of stratified shear flows; 3.4.3. Turbulent stratified shear flows; 3.4.4. Mixing associated with the abyssal stratification; 3.5. Energy transformations; 3.5.1. Internal wave pathway; 3.5.2. The meso-scale eddy pathway; 3.6. Summary and conclusions; Chapter 4. Analytical Descriptions of Plasma Turbulence; 4.1. LECTURE 1 - Introduction to Plasma Turbulence 4.1.1. The Liouville and Klimontovich equations, the Vlasov - Poisson system, and plasma kinetic equations4.1.2. Basic concepts of linear theory; 4.1.3. The gyrokinetic description; 4.1.4. Drift waves and the Hasegawa-Mima equation; 4.1.5. The gyrokinetic transport problem; 4.1.6. Some other important equations; 4.1.7. The transition to plasma turbulence; 4.2. LECTURE 2 - Statistical Closures and Plasma Turbulence; 4.2.1. Quasilinear theory; 4.2.2. Weak-turbulence theory; 4.2.3. Resonance-broadening theory; 4.2.4. ""Systematic"" renormalization and the direct-interaction approximation 4.2.5. Markovian closures |
| Record Nr. | UNINA-9910821323303321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||