KdV ’95: Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
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| Beschreibung: | Exactly one hundred years ago, in 1895, G. de Vries, under the supervision of D. J. Korteweg, defended his thesis on what is now known as the Korteweg-de Vries Equation. They published a joint paper in 1895 in the Philosophical Magazine, entitled 'On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave', and, for the next 60 years or so, no other relevant work seemed to have been done. In the 1960s, however, research on this and related equations exploded. There are now some 3100 papers in mathematics and physics that contain a mention of the phrase 'Korteweg-de Vries equation' in their title or abstract, and there are thousands more in other areas, such as biology, chemistry, electronics, geology, oceanology, meteorology, etc. And, of course, the KdV equation is only one of what are now called (Liouville) completely integrable systems. The KdV and its relatives continually turn up in situations when one wishes to incorporate nonlinear and dispersive effects into wave-type phenomena. This centenary provides a unique occasion to survey as many different aspects of the KdV and related equations. The KdV equation has depth, subtlety, and a breadth of applications that make it a rarity deserving special attention and exposition |
| Beschreibung: | 1 Online-Ressource (VI, 516 p) |
| ISBN: | 9789401100175 9789401040112 |
| DOI: | 10.1007/978-94-011-0017-5 |
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| 245 | 1 | 0 | |a KdV ’95 |b Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries |c edited by Michiel Hazewinkel, Hans W. Capel, Eduard M. Jager |
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| 500 | |a Exactly one hundred years ago, in 1895, G. de Vries, under the supervision of D. J. Korteweg, defended his thesis on what is now known as the Korteweg-de Vries Equation. They published a joint paper in 1895 in the Philosophical Magazine, entitled 'On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave', and, for the next 60 years or so, no other relevant work seemed to have been done. In the 1960s, however, research on this and related equations exploded. There are now some 3100 papers in mathematics and physics that contain a mention of the phrase 'Korteweg-de Vries equation' in their title or abstract, and there are thousands more in other areas, such as biology, chemistry, electronics, geology, oceanology, meteorology, etc. And, of course, the KdV equation is only one of what are now called (Liouville) completely integrable systems. The KdV and its relatives continually turn up in situations when one wishes to incorporate nonlinear and dispersive effects into wave-type phenomena. This centenary provides a unique occasion to survey as many different aspects of the KdV and related equations. The KdV equation has depth, subtlety, and a breadth of applications that make it a rarity deserving special attention and exposition | ||
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-0017-5 |
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| spelling | Hazewinkel, Michiel Verfasser aut KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries edited by Michiel Hazewinkel, Hans W. Capel, Eduard M. Jager Proceedings of the International Symposium held in Amsterdam, the Netherlands, April 23--26, 1995 Dordrecht Springer Netherlands 1995 1 Online-Ressource (VI, 516 p) txt rdacontent c rdamedia cr rdacarrier Exactly one hundred years ago, in 1895, G. de Vries, under the supervision of D. J. Korteweg, defended his thesis on what is now known as the Korteweg-de Vries Equation. They published a joint paper in 1895 in the Philosophical Magazine, entitled 'On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave', and, for the next 60 years or so, no other relevant work seemed to have been done. In the 1960s, however, research on this and related equations exploded. There are now some 3100 papers in mathematics and physics that contain a mention of the phrase 'Korteweg-de Vries equation' in their title or abstract, and there are thousands more in other areas, such as biology, chemistry, electronics, geology, oceanology, meteorology, etc. And, of course, the KdV equation is only one of what are now called (Liouville) completely integrable systems. The KdV and its relatives continually turn up in situations when one wishes to incorporate nonlinear and dispersive effects into wave-type phenomena. This centenary provides a unique occasion to survey as many different aspects of the KdV and related equations. The KdV equation has depth, subtlety, and a breadth of applications that make it a rarity deserving special attention and exposition Mathematics Integral equations Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Integral Equations Potential Theory Applications of Mathematics Mathematik 1\p (DE-588)1071861417 Konferenzschrift gnd-content Capel, Hans W. Sonstige oth Jager, Eduard M. Sonstige oth https://doi.org/10.1007/978-94-011-0017-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hazewinkel, Michiel KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries Mathematics Integral equations Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Integral Equations Potential Theory Applications of Mathematics Mathematik |
| subject_GND | (DE-588)1071861417 |
| title | KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries |
| title_alt | Proceedings of the International Symposium held in Amsterdam, the Netherlands, April 23--26, 1995 |
| title_auth | KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries |
| title_exact_search | KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries |
| title_full | KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries edited by Michiel Hazewinkel, Hans W. Capel, Eduard M. Jager |
| title_fullStr | KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries edited by Michiel Hazewinkel, Hans W. Capel, Eduard M. Jager |
| title_full_unstemmed | KdV ’95 Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries edited by Michiel Hazewinkel, Hans W. Capel, Eduard M. Jager |
| title_short | KdV ’95 |
| title_sort | kdv 95 proceedings of the international symposium held in amsterdam the netherlands april 23 26 1995 to commemorate the centennial of the publication of the equation by and named after korteweg and de vries |
| title_sub | Proceedings of the International Symposium held in Amsterdam, The Netherlands, April 23–26, 1995, to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries |
| topic | Mathematics Integral equations Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Integral Equations Potential Theory Applications of Mathematics Mathematik |
| topic_facet | Mathematics Integral equations Differential equations, partial Potential theory (Mathematics) Partial Differential Equations Integral Equations Potential Theory Applications of Mathematics Mathematik Konferenzschrift |
| url | https://doi.org/10.1007/978-94-011-0017-5 |
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