Advances in nonlinear waves / Lokenath Debnath, editor |
Pubbl/distr/stampa | Boston : Pitman Advanced Publ. Program, 1984-1985 |
Descrizione fisica | 2 v. : ill. ; 25 cm |
Disciplina | 531.1133 |
Altri autori (Persone) | Debnath, Lokenathauthor |
Collana |
Pitman research notes in mathematics series, ISSN 02693674 ; 95
Pitman research notes in mathematics series, ISSN 02693674 ; 111 |
Soggetto topico | Nonlinear waves |
ISBN |
027308609X (v.1)
0273086480 (v.2) |
Classificazione |
AMS 35G20
AMS 35L70 AMS 47A40 AMS 76-06 AMS 76D15 AMS 76D25 AMS 76E30 AMS 76L05 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000647989707536 |
Boston : Pitman Advanced Publ. Program, 1984-1985 | ||
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Lo trovi qui: Univ. del Salento | ||
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Advances in wave turbulence / / edited by Victor Shrira, Keele University, UK, Sergey Nazarenko, University of Warwick, UK |
Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
Descrizione fisica | 1 online resource (xi, 281 pages) : illustrations |
Disciplina | 531.1133 |
Collana | World Scientific series on nonlinear science. Series A |
Soggetto topico |
Turbulence
Nonlinear waves |
ISBN | 981-4366-94-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Wave Turbulence: A Story Far from Over Alan C. Newell and Benno Rumpf; 1.1. Introduction; 1.2. A Tutorial on the Wave Turbulence Closure; 1.3. Solutions of the Kinetic Equation; 1.4. Experimental Evidence; 1.4.1. Capillary wave turbulence; 1.4.2. Gravity wave turbulence; 1.4.3. Vibrating plate turbulence: can one hear the Kolmogorov spectrum?; 1.4.4. Condensates of classical light waves; 1.5. Two Open Questions; 1.6. Open Challenges; Appendix 1. Derivation of the Governing Equation for Gravity-Capillary Waves; Appendix 2. Asymptotic Analysis; Acknowledgment; Bibliography
2. Fluctuations of the Energy Flux in Wave Turbulence S. Aumaıtre, E. Falcon and S. Fauve2.1. Introduction; 2.2. Spectra in the Gravity and Capillary Regimes; 2.3. Direct Measurement of the Injected Power; 2.4. Fluctuations of the Energy Flux; 2.5. Conclusion; Acknowledgment; Bibliography; 3. Wave Turbulence in Astrophysics Sebastien Galtier; 3.1. Introduction; 3.2. Waves and Turbulence in Space Plasmas; 3.2.1. Interplanetary medium; 3.2.2. Solar atmosphere; 3.3. Turbulence and Anisotropy; 3.3.1. Navier-Stokes turbulence; 3.3.2. Incompressible MHD turbulence; 3.3.2.1. Strong turbulence 3.3.2.2. Iroshnikov-Kraichnan spectrum3.3.2.3. Breakdown of isotropy; 3.3.2.4. Emergence of anisotropic laws; 3.3.3. Towards an Alfven wave turbulence theory; 3.3.4. Wave turbulence in compressible MHD; 3.3.5. Wave turbulence in Hall and electron MHD; 3.4. Wave Turbulence Formalism; 3.4.1. Wave amplitude equation; 3.4.2. Statistics and asymptotics; 3.4.3. Wave kinetic equations; 3.4.4. Finite flux solutions; 3.5. Main Results and Predictions; 3.5.1. Alfven wave turbulence; 3.5.2. Compressible MHD; 3.5.3. Whistler wave turbulence; 3.5.4. Hall MHD; 3.6. Conclusion and Perspectives 3.6.1. Observations3.6.2. Simulations; 3.6.3. Open questions; Bibliography; 4. Optical Wave Turbulence S. K. Turitsyn, S. A. Babin, E. G. Turitsyna, G. E. Falkovich, E. V. Podivilov and D. V. Churkin; 4.1. Optical Wave Turbulence: Introduction; 4.2. Basics of Fiber Lasers; 4.3. Key Mathematical Models; 4.4. Weak Optical Wave Turbulence in Fiber Lasers; 4.4.1. Theory of weak wave turbulence in the context of fiber laser; 4.4.2. Experiments; 4.4.3. Statistical properties and optical rogue wave generation via wave turbulence in RFLs; 4.5. Optical Wave Turbulence in Ultra-Long Fiber Lasers 4.5.1. Basics of ultra-long fiber lasers4.5.2. Mode structure in ultra-long fiber lasers; 4.5.3. Nonlinear broadening of optical spectra; 4.6. Developed Optical Wave Turbulence in Fiber Lasers; 4.6.1. The impact of fiber dispersion; 4.7. Spectral Condensate in Fiber Lasers; 4.8. Conclusions and Perspectives; Acknowledgments; Bibliography; 5. Wave Turbulence in a Thin Elastic Plate: The Sound of the Kolmogorov Spectrum? G. During and N. Mordant; 5.1. Weak Turbulence Theory for Thin Elastic Plates; 5.1.1. The Foppl-von Karman equations for a thin elastic plate 5.1.2. Kinetic equation and spectra |
Record Nr. | UNINA-9910786874503321 |
Singapore, : World Scientific Pub. Co., 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Advances in wave turbulence / / edited by Victor Shrira, Keele University, UK, Sergey Nazarenko, University of Warwick, UK |
Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
Descrizione fisica | 1 online resource (xi, 281 pages) : illustrations |
Disciplina | 531.1133 |
Collana | World Scientific series on nonlinear science. Series A |
Soggetto topico |
Turbulence
Nonlinear waves |
ISBN | 981-4366-94-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Wave Turbulence: A Story Far from Over Alan C. Newell and Benno Rumpf; 1.1. Introduction; 1.2. A Tutorial on the Wave Turbulence Closure; 1.3. Solutions of the Kinetic Equation; 1.4. Experimental Evidence; 1.4.1. Capillary wave turbulence; 1.4.2. Gravity wave turbulence; 1.4.3. Vibrating plate turbulence: can one hear the Kolmogorov spectrum?; 1.4.4. Condensates of classical light waves; 1.5. Two Open Questions; 1.6. Open Challenges; Appendix 1. Derivation of the Governing Equation for Gravity-Capillary Waves; Appendix 2. Asymptotic Analysis; Acknowledgment; Bibliography
2. Fluctuations of the Energy Flux in Wave Turbulence S. Aumaıtre, E. Falcon and S. Fauve2.1. Introduction; 2.2. Spectra in the Gravity and Capillary Regimes; 2.3. Direct Measurement of the Injected Power; 2.4. Fluctuations of the Energy Flux; 2.5. Conclusion; Acknowledgment; Bibliography; 3. Wave Turbulence in Astrophysics Sebastien Galtier; 3.1. Introduction; 3.2. Waves and Turbulence in Space Plasmas; 3.2.1. Interplanetary medium; 3.2.2. Solar atmosphere; 3.3. Turbulence and Anisotropy; 3.3.1. Navier-Stokes turbulence; 3.3.2. Incompressible MHD turbulence; 3.3.2.1. Strong turbulence 3.3.2.2. Iroshnikov-Kraichnan spectrum3.3.2.3. Breakdown of isotropy; 3.3.2.4. Emergence of anisotropic laws; 3.3.3. Towards an Alfven wave turbulence theory; 3.3.4. Wave turbulence in compressible MHD; 3.3.5. Wave turbulence in Hall and electron MHD; 3.4. Wave Turbulence Formalism; 3.4.1. Wave amplitude equation; 3.4.2. Statistics and asymptotics; 3.4.3. Wave kinetic equations; 3.4.4. Finite flux solutions; 3.5. Main Results and Predictions; 3.5.1. Alfven wave turbulence; 3.5.2. Compressible MHD; 3.5.3. Whistler wave turbulence; 3.5.4. Hall MHD; 3.6. Conclusion and Perspectives 3.6.1. Observations3.6.2. Simulations; 3.6.3. Open questions; Bibliography; 4. Optical Wave Turbulence S. K. Turitsyn, S. A. Babin, E. G. Turitsyna, G. E. Falkovich, E. V. Podivilov and D. V. Churkin; 4.1. Optical Wave Turbulence: Introduction; 4.2. Basics of Fiber Lasers; 4.3. Key Mathematical Models; 4.4. Weak Optical Wave Turbulence in Fiber Lasers; 4.4.1. Theory of weak wave turbulence in the context of fiber laser; 4.4.2. Experiments; 4.4.3. Statistical properties and optical rogue wave generation via wave turbulence in RFLs; 4.5. Optical Wave Turbulence in Ultra-Long Fiber Lasers 4.5.1. Basics of ultra-long fiber lasers4.5.2. Mode structure in ultra-long fiber lasers; 4.5.3. Nonlinear broadening of optical spectra; 4.6. Developed Optical Wave Turbulence in Fiber Lasers; 4.6.1. The impact of fiber dispersion; 4.7. Spectral Condensate in Fiber Lasers; 4.8. Conclusions and Perspectives; Acknowledgments; Bibliography; 5. Wave Turbulence in a Thin Elastic Plate: The Sound of the Kolmogorov Spectrum? G. During and N. Mordant; 5.1. Weak Turbulence Theory for Thin Elastic Plates; 5.1.1. The Foppl-von Karman equations for a thin elastic plate 5.1.2. Kinetic equation and spectra |
Record Nr. | UNINA-9910809494403321 |
Singapore, : World Scientific Pub. Co., 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Algebraic and spectral methods for nonlinear wave equations / N. Asano and Y. Kato |
Autore | Asano, M. |
Pubbl/distr/stampa | Harlow : Longman Scientific and Technical, 1990 |
Descrizione fisica | xvii, 417 p. : ill. ; 24 cm. |
Altri autori (Persone) | Kato, Yoshio |
Collana | Pitman monographs and surveys in pure and applied mathematics ; 49 |
Soggetto topico |
Differential equations, partial-Numerical solutions
Inverse scattering transform Nonlinear waves Wave equations-Numerical solutions |
ISBN | 0582037204 |
Classificazione |
53.1.34
510.35 510.44 530.1'24 QA927.a82 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000804439707536 |
Asano, M.
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Harlow : Longman Scientific and Technical, 1990 | ||
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Lo trovi qui: Univ. del Salento | ||
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Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov |
Autore | Porubov Alexey V |
Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
Descrizione fisica | 1 online resource (229 p.) |
Disciplina | 530.4/16 |
Collana | Series on stability, vibration, and control of systems. Series A |
Soggetto topico |
Stress waves
Solids Differential equations, Nonlinear - Numerical solutions Nonlinear waves |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-93443-7
9786611934439 981-279-429-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Basic concepts; 1.1 Single nonlinear waves of permanent shape; 1.2 Formation of nonlinear waves of permanent shape from an arbitrary input; 1.3 Amplification attenuation and selection of nonlinear waves; 2. Mathematical tools for the governing equations analysis; 2.1 Exact solutions; 2.2 Asymptotic solutions; 2.3 Numerical methods; 2.4 Use of Mathematica; 3. Strain solitary waves in an elastic rod; 3.1 The sources of nonlinearities; 3.2 Modelling of nonlinear strain waves in a free lateral surface elastic rod; 3.3 Double-dispersive equation and its solitary wave solution
3.4 Observation of longitudinal strain solitary waves3.5 Reflection of solitary wave from the edge of the rod; 4. Amplification of strain waves in absence of external energy influx; 4.1 Longitudinal strain solitary wave amplification in a narrowing elastic rod; 4.2 Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding; 4.3 Strain solitary waves in an elastic rod with microstructure; 5. Influence of dissipative (active) external medium; 5.1 Contact problems: various approaches 5.2 Evolution of bell-shaped solitary waves in presence of active/ dissipative external medium5.3 Strain kinks in an elastic rod embedded in an active/ dissipative medium; 5.4 Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod; 6. Bulk active or dissipative sources of the amplification and selection; 6.1 Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids; 6.2 Nonlinear seismic solitary waves selection; 6.3 Moving defects induced by external energy flux; 6.4 Thermoelastic waves; Bibliography; Index |
Record Nr. | UNINA-9910454280903321 |
Porubov Alexey V
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Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov |
Autore | Porubov Alexey V |
Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
Descrizione fisica | 1 online resource (229 p.) |
Disciplina | 530.4/16 |
Collana | Series on stability, vibration, and control of systems. Series A |
Soggetto topico |
Stress waves
Solids Differential equations, Nonlinear - Numerical solutions Nonlinear waves |
ISBN |
1-281-93443-7
9786611934439 981-279-429-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Basic concepts; 1.1 Single nonlinear waves of permanent shape; 1.2 Formation of nonlinear waves of permanent shape from an arbitrary input; 1.3 Amplification attenuation and selection of nonlinear waves; 2. Mathematical tools for the governing equations analysis; 2.1 Exact solutions; 2.2 Asymptotic solutions; 2.3 Numerical methods; 2.4 Use of Mathematica; 3. Strain solitary waves in an elastic rod; 3.1 The sources of nonlinearities; 3.2 Modelling of nonlinear strain waves in a free lateral surface elastic rod; 3.3 Double-dispersive equation and its solitary wave solution
3.4 Observation of longitudinal strain solitary waves3.5 Reflection of solitary wave from the edge of the rod; 4. Amplification of strain waves in absence of external energy influx; 4.1 Longitudinal strain solitary wave amplification in a narrowing elastic rod; 4.2 Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding; 4.3 Strain solitary waves in an elastic rod with microstructure; 5. Influence of dissipative (active) external medium; 5.1 Contact problems: various approaches 5.2 Evolution of bell-shaped solitary waves in presence of active/ dissipative external medium5.3 Strain kinks in an elastic rod embedded in an active/ dissipative medium; 5.4 Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod; 6. Bulk active or dissipative sources of the amplification and selection; 6.1 Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids; 6.2 Nonlinear seismic solitary waves selection; 6.3 Moving defects induced by external energy flux; 6.4 Thermoelastic waves; Bibliography; Index |
Record Nr. | UNINA-9910782116603321 |
Porubov Alexey V
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Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov |
Autore | Porubov Alexey V |
Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
Descrizione fisica | 1 online resource (229 p.) |
Disciplina | 530.4/16 |
Collana | Series on stability, vibration, and control of systems. Series A |
Soggetto topico |
Stress waves
Solids Differential equations, Nonlinear - Numerical solutions Nonlinear waves |
ISBN |
1-281-93443-7
9786611934439 981-279-429-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Basic concepts; 1.1 Single nonlinear waves of permanent shape; 1.2 Formation of nonlinear waves of permanent shape from an arbitrary input; 1.3 Amplification attenuation and selection of nonlinear waves; 2. Mathematical tools for the governing equations analysis; 2.1 Exact solutions; 2.2 Asymptotic solutions; 2.3 Numerical methods; 2.4 Use of Mathematica; 3. Strain solitary waves in an elastic rod; 3.1 The sources of nonlinearities; 3.2 Modelling of nonlinear strain waves in a free lateral surface elastic rod; 3.3 Double-dispersive equation and its solitary wave solution
3.4 Observation of longitudinal strain solitary waves3.5 Reflection of solitary wave from the edge of the rod; 4. Amplification of strain waves in absence of external energy influx; 4.1 Longitudinal strain solitary wave amplification in a narrowing elastic rod; 4.2 Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding; 4.3 Strain solitary waves in an elastic rod with microstructure; 5. Influence of dissipative (active) external medium; 5.1 Contact problems: various approaches 5.2 Evolution of bell-shaped solitary waves in presence of active/ dissipative external medium5.3 Strain kinks in an elastic rod embedded in an active/ dissipative medium; 5.4 Influence of external tangential stresses on strain solitary waves evolution in a nonlinear elastic rod; 6. Bulk active or dissipative sources of the amplification and selection; 6.1 Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids; 6.2 Nonlinear seismic solitary waves selection; 6.3 Moving defects induced by external energy flux; 6.4 Thermoelastic waves; Bibliography; Index |
Record Nr. | UNINA-9910820356203321 |
Porubov Alexey V
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Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Asymptotic methods for wave and quantum problems / M. V. Karasev, editor |
Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2003 |
Descrizione fisica | viii, 284 p. : ill. ; 26 cm |
Altri autori (Persone) | Karasev, Mikhail Vladimirovichauthor |
Altri autori (Enti) | American Mathematical Society |
Collana |
American Mathematical Society Translations, 0065-9290 ; Ser.2, v.208
Advances in the mathematical sciences ; 53 |
Soggetto topico |
Differential equations, Nonlinear - Asymptotic theory
Nonlinear waves Quantum theory |
ISBN | 0821833367 |
Classificazione |
AMS 34E20
AMS 35L AMS 81Q LC QA3.A56 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000231449707536 |
Providence, R. I. : American Mathematical Society, c2003 | ||
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Lo trovi qui: Univ. del Salento | ||
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Cartanian geometry, nonlinear waves, and control theory : part A / Robert Hermann |
Autore | Hermann, Robert |
Pubbl/distr/stampa | Brookline, MA : Math Sci Press, 1979 |
Descrizione fisica | xv, 501 p. ; 21 cm. |
Collana | Interdisciplinary mathematics ; 20 |
Soggetto topico |
Control theory
Geometry, differential Nonlinear waves |
ISBN | 0915692279 |
Classificazione |
53.1.34
510(06) 510.53 510.93 516'.36 QA649 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000844049707536 |
Hermann, Robert
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Brookline, MA : Math Sci Press, 1979 | ||
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Lo trovi qui: Univ. del Salento | ||
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Geometric wave equations / Jalal Shatah, Michael Struwe |
Autore | Shatah, Jalal M. Ihsan |
Pubbl/distr/stampa | New York : Courant Institute of Mathematical Sciences ; Providence, Rhode Island : American Mathematical Society, c1998 |
Descrizione fisica | xi, 137 p. : ill. ; 26 cm. |
Disciplina | 530.124 |
Altri autori (Persone) | Struwe, Michaelauthor |
Collana | Courant lecture notes in mathematics, 1529-9031 ; 2 |
Soggetto topico |
Nonlinear waves
Wave equation |
ISBN | 0821827499 |
Classificazione |
AMS 35-01
AMS 35L70 LC QC174.26.W28S42 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003683489707536 |
Shatah, Jalal M. Ihsan
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New York : Courant Institute of Mathematical Sciences ; Providence, Rhode Island : American Mathematical Society, c1998 | ||
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Lo trovi qui: Univ. del Salento | ||
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