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Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov
| 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
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Amplification of nonlinear strain waves in solids [[electronic resource] /] / Alexey V. Porubov
| 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
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bifurcation theory and applications [[electronic resource] /] / Tian Ma, Shouhong Wang
| Bifurcation theory and applications [[electronic resource] /] / Tian Ma, Shouhong Wang |
| Autore | Ma Tian <1956-> |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (391 p.) |
| Disciplina | 515.392 |
| Altri autori (Persone) | WangShouhong <1962-> |
| Collana | World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Bifurcation theory
Differential equations, Nonlinear - Numerical solutions |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-89691-8
9786611896911 981-270-115-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Introduction to Steady State Bifurcation Theory; Chapter 2 Introduction to Dynamic Bifurcation; Chapter 3 Reduction Procedures and Stability; Chapter 4 Steady State Bifurcations; Chapter 5 Dynamic Bifurcation Theory: Finite Dimensional Case; Chapter 6 Dynamic Bifurcation Theory: Infinite Dimensional Case; Chapter 7 Bifurcations for Nonlinear Elliptic Equations; Chapter 8 Reaction-Diffusion Equations; Chapter 9 Pattern Formation and Wave Equations; Chapter 10 Fluid Dynamics; Bibliography; Index |
| Record Nr. | UNINA-9910450710103321 |
|
Ma Tian <1956->
|
||
| Singapore ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bifurcation theory and applications [[electronic resource] /] / Tian Ma, Shouhong Wang
| Bifurcation theory and applications [[electronic resource] /] / Tian Ma, Shouhong Wang |
| Autore | Ma Tian <1956-> |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (391 p.) |
| Disciplina | 515.392 |
| Altri autori (Persone) | WangShouhong <1962-> |
| Collana | World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Bifurcation theory
Differential equations, Nonlinear - Numerical solutions |
| ISBN |
1-281-89691-8
9786611896911 981-270-115-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Introduction to Steady State Bifurcation Theory; Chapter 2 Introduction to Dynamic Bifurcation; Chapter 3 Reduction Procedures and Stability; Chapter 4 Steady State Bifurcations; Chapter 5 Dynamic Bifurcation Theory: Finite Dimensional Case; Chapter 6 Dynamic Bifurcation Theory: Infinite Dimensional Case; Chapter 7 Bifurcations for Nonlinear Elliptic Equations; Chapter 8 Reaction-Diffusion Equations; Chapter 9 Pattern Formation and Wave Equations; Chapter 10 Fluid Dynamics; Bibliography; Index |
| Record Nr. | UNINA-9910783922903321 |
|
Ma Tian <1956->
|
||
| Singapore ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bifurcation theory for Fredholm operators / / Jorge Ize
| Bifurcation theory for Fredholm operators / / Jorge Ize |
| Autore | Ize Jorge <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1976] |
| Descrizione fisica | 1 online resource (139 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fredholm operators
Differential equations, Partial - Numerical solutions Differential equations, Nonlinear - Numerical solutions Homotopy groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0789-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""CHAPTER THREE: SOLUTIONS IN THE LARGE""""Â I. Infinite dimensional cohomology""; ""Â II. Global solutions""; ""Â III. The Hopf bifurcation theorem: global version""; ""CHAPTER FOUR: SPECIAL NONLINEARITIES""; ""Â I. Study of eigenrays""; ""Â II. Application: Bifurcation near an isolated eigenray""; ""APPENDIX""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910480696103321 |
|
Ize Jorge <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bifurcation theory for Fredholm operators / / Jorge Ize
| Bifurcation theory for Fredholm operators / / Jorge Ize |
| Autore | Ize Jorge <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1976] |
| Descrizione fisica | 1 online resource (139 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fredholm operators
Differential equations, Partial - Numerical solutions Differential equations, Nonlinear - Numerical solutions Homotopy groups |
| ISBN | 1-4704-0789-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""CHAPTER THREE: SOLUTIONS IN THE LARGE""""Â I. Infinite dimensional cohomology""; ""Â II. Global solutions""; ""Â III. The Hopf bifurcation theorem: global version""; ""CHAPTER FOUR: SPECIAL NONLINEARITIES""; ""Â I. Study of eigenrays""; ""Â II. Application: Bifurcation near an isolated eigenray""; ""APPENDIX""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910788608203321 |
|
Ize Jorge <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bifurcation theory for Fredholm operators / / Jorge Ize
| Bifurcation theory for Fredholm operators / / Jorge Ize |
| Autore | Ize Jorge <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1976] |
| Descrizione fisica | 1 online resource (139 p.) |
| Disciplina | 514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fredholm operators
Differential equations, Partial - Numerical solutions Differential equations, Nonlinear - Numerical solutions Homotopy groups |
| ISBN | 1-4704-0789-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""CHAPTER THREE: SOLUTIONS IN THE LARGE""""Â I. Infinite dimensional cohomology""; ""Â II. Global solutions""; ""Â III. The Hopf bifurcation theorem: global version""; ""CHAPTER FOUR: SPECIAL NONLINEARITIES""; ""Â I. Study of eigenrays""; ""Â II. Application: Bifurcation near an isolated eigenray""; ""APPENDIX""; ""BIBLIOGRAPHY"" |
| Record Nr. | UNINA-9910818939303321 |
|
Ize Jorge <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Caustics for dissipative semilinear oscillations / / Jean-Luc Joly, Guy Metivier, Jeffrey Rauch
| Caustics for dissipative semilinear oscillations / / Jean-Luc Joly, Guy Metivier, Jeffrey Rauch |
| Autore | Joly Jean-Luc <1942-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Hyperbolic - Numerical solutions
Differential equations, Nonlinear - Numerical solutions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0276-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""7.1. The wave equation""""7.2. Lipschitzean nonlinearities and nonstrictly monotone nonlinearities""; ""7.3. Nonlinear interaction and transfer of singularities above the caustic""; ""8. References"" |
| Record Nr. | UNINA-9910478881003321 |
|
Joly Jean-Luc <1942->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Caustics for dissipative semilinear oscillations / / Jean-Luc Joly, Guy Metivier, Jeffrey Rauch
| Caustics for dissipative semilinear oscillations / / Jean-Luc Joly, Guy Metivier, Jeffrey Rauch |
| Autore | Joly Jean-Luc <1942-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Hyperbolic - Numerical solutions
Differential equations, Nonlinear - Numerical solutions |
| ISBN | 1-4704-0276-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""7.1. The wave equation""""7.2. Lipschitzean nonlinearities and nonstrictly monotone nonlinearities""; ""7.3. Nonlinear interaction and transfer of singularities above the caustic""; ""8. References"" |
| Record Nr. | UNINA-9910788740203321 |
|
Joly Jean-Luc <1942->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Caustics for dissipative semilinear oscillations / / Jean-Luc Joly, Guy Metivier, Jeffrey Rauch
| Caustics for dissipative semilinear oscillations / / Jean-Luc Joly, Guy Metivier, Jeffrey Rauch |
| Autore | Joly Jean-Luc <1942-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Hyperbolic - Numerical solutions
Differential equations, Nonlinear - Numerical solutions |
| ISBN | 1-4704-0276-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""7.1. The wave equation""""7.2. Lipschitzean nonlinearities and nonstrictly monotone nonlinearities""; ""7.3. Nonlinear interaction and transfer of singularities above the caustic""; ""8. References"" |
| Record Nr. | UNINA-9910818968703321 |
|
Joly Jean-Luc <1942->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
