Shock Waves and Reaction—Diffusion Equations
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
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| Ausgabe: | Second Edition |
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
258 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 258 | |
| 500 | |a For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final section, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applicable to many interesting reaction-diffusion systems | ||
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2066663 |
|---|---|
| _version_ | 1820806705136533504 |
| any_adam_object | |
| author | Smoller, Joel 1935- |
| author_GND | (DE-588)1024209652 |
| author_facet | Smoller, Joel 1935- |
| author_role | aut |
| author_sort | Smoller, Joel 1935- |
| author_variant | j s js |
| building | Verbundindex |
| bvnumber | BV042419654 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1165500826 (DE-599)BVBBV042419654 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0873-0 |
| edition | Second Edition |
| format | Electronic eBook |
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| genre | 1\p (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV042419654 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T04:23:19Z |
| institution | BVB |
| isbn | 9781461208730 9781461269298 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855071 |
| oclc_num | 1165500826 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XXIII, 634 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer New York |
| record_format | marc |
| series | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spellingShingle | Smoller, Joel 1935- Shock Waves and Reaction—Diffusion Equations Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Diffusion (DE-588)4012277-3 gnd Stoßwelle (DE-588)4057760-0 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Druckwelle (DE-588)4150776-9 gnd Diffusionsgleichung (DE-588)4149816-1 gnd |
| subject_GND | (DE-588)4323967-5 (DE-588)4012277-3 (DE-588)4057760-0 (DE-588)4128900-6 (DE-588)4044779-0 (DE-588)4150776-9 (DE-588)4149816-1 (DE-588)1071861417 |
| title | Shock Waves and Reaction—Diffusion Equations |
| title_auth | Shock Waves and Reaction—Diffusion Equations |
| title_exact_search | Shock Waves and Reaction—Diffusion Equations |
| title_full | Shock Waves and Reaction—Diffusion Equations by Joel Smoller |
| title_fullStr | Shock Waves and Reaction—Diffusion Equations by Joel Smoller |
| title_full_unstemmed | Shock Waves and Reaction—Diffusion Equations by Joel Smoller |
| title_short | Shock Waves and Reaction—Diffusion Equations |
| title_sort | shock waves and reaction diffusion equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Diffusion (DE-588)4012277-3 gnd Stoßwelle (DE-588)4057760-0 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Druckwelle (DE-588)4150776-9 gnd Diffusionsgleichung (DE-588)4149816-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Reaktions-Diffusionsgleichung Diffusion Stoßwelle Nichtlineare partielle Differentialgleichung Partielle Differentialgleichung Druckwelle Diffusionsgleichung Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4612-0873-0 |
| volume_link | (DE-604)BV049758308 |
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