Quasilinear hyperbolic systems and dissipative mechanisms:
This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the infl...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1997
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws – the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves |
| Beschreibung: | viii, 223 p |
| ISBN: | 9789812816917 |
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| 520 | |a This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws – the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves | ||
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| author | Hsiao, Ling 1940- |
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| dewey-full | 531/.01/515353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.01/515353 |
| dewey-search | 531/.01/515353 |
| dewey-sort | 3531 11 6515353 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636590 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812816917 |
| language | English |
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| physical | viii, 223 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | World Scientific Pub. Co. |
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| spelling | Hsiao, Ling 1940- Verfasser aut Quasilinear hyperbolic systems and dissipative mechanisms L. Hsiao Singapore World Scientific Pub. Co. c1997 viii, 223 p txt rdacontent c rdamedia cr rdacarrier This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion. The mathematical theory behind this subject is emphasized in two ways. One emphasis is based on understanding the influence of the dissipation mechanism on the qualitative behavior of solutions, such as the nonlinear diffusive phenomena caused by damping, and other phenomena (including phase transition) for the case with viscosity and heat diffusion. The second emphasis is to take the systems with the dissipation mechanism as an approach to approximating the corresponding system of quasilinear hyperbolic conservation laws – the zero-limit relaxation, or the zero-limit viscosity, and the related topic of nonlinear stability of waves Differential equations, Hyperbolic Quasilinearization Quasilineares hyperbolisches System (DE-588)4373367-0 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf Quasilineares hyperbolisches System (DE-588)4373367-0 s Dissipatives System (DE-588)4209641-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810232054 Erscheint auch als Druck-Ausgabe 9810232055 http://www.worldscientific.com/worldscibooks/10.1142/3538#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hsiao, Ling 1940- Quasilinear hyperbolic systems and dissipative mechanisms Differential equations, Hyperbolic Quasilinearization Quasilineares hyperbolisches System (DE-588)4373367-0 gnd Dissipatives System (DE-588)4209641-8 gnd |
| subject_GND | (DE-588)4373367-0 (DE-588)4209641-8 |
| title | Quasilinear hyperbolic systems and dissipative mechanisms |
| title_auth | Quasilinear hyperbolic systems and dissipative mechanisms |
| title_exact_search | Quasilinear hyperbolic systems and dissipative mechanisms |
| title_full | Quasilinear hyperbolic systems and dissipative mechanisms L. Hsiao |
| title_fullStr | Quasilinear hyperbolic systems and dissipative mechanisms L. Hsiao |
| title_full_unstemmed | Quasilinear hyperbolic systems and dissipative mechanisms L. Hsiao |
| title_short | Quasilinear hyperbolic systems and dissipative mechanisms |
| title_sort | quasilinear hyperbolic systems and dissipative mechanisms |
| topic | Differential equations, Hyperbolic Quasilinearization Quasilineares hyperbolisches System (DE-588)4373367-0 gnd Dissipatives System (DE-588)4209641-8 gnd |
| topic_facet | Differential equations, Hyperbolic Quasilinearization Quasilineares hyperbolisches System Dissipatives System |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3538#t=toc |
| work_keys_str_mv | AT hsiaoling quasilinearhyperbolicsystemsanddissipativemechanisms |