Nonlinear systems of partial differential equations: applications to life and physical sciences
The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2009
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers. The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering. Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists |
| Beschreibung: | xii, 532 p. ill. (some col.) |
| ISBN: | 9789814277709 |
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| 100 | 1 | |a Leung, Anthony W. |d 1946- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear systems of partial differential equations |b applications to life and physical sciences |c Anthony W. Leung |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2009 | |
| 300 | |a xii, 532 p. |b ill. (some col.) | ||
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| 520 | |a The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers. The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering. Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists | ||
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Datensatz im Suchindex
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| author | Leung, Anthony W. 1946- |
| author_facet | Leung, Anthony W. 1946- |
| author_role | aut |
| author_sort | Leung, Anthony W. 1946- |
| author_variant | a w l aw awl |
| building | Verbundindex |
| bvnumber | BV044637773 |
| classification_rvk | SK 540 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00000570 (OCoLC)1012692276 (DE-599)BVBBV044637773 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044637773 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:51Z |
| institution | BVB |
| isbn | 9789814277709 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030035746 |
| oclc_num | 1012692276 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xii, 532 p. ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Leung, Anthony W. 1946- Verfasser aut Nonlinear systems of partial differential equations applications to life and physical sciences Anthony W. Leung Singapore World Scientific Pub. Co. c2009 xii, 532 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers. The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering. Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists Differential equations, Partial Differential equations, Nonlinear Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814277693 Erscheint auch als Druck-Ausgabe 981427769X http://www.worldscientific.com/worldscibooks/10.1142/7353#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Leung, Anthony W. 1946- Nonlinear systems of partial differential equations applications to life and physical sciences Differential equations, Partial Differential equations, Nonlinear Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4128900-6 |
| title | Nonlinear systems of partial differential equations applications to life and physical sciences |
| title_auth | Nonlinear systems of partial differential equations applications to life and physical sciences |
| title_exact_search | Nonlinear systems of partial differential equations applications to life and physical sciences |
| title_full | Nonlinear systems of partial differential equations applications to life and physical sciences Anthony W. Leung |
| title_fullStr | Nonlinear systems of partial differential equations applications to life and physical sciences Anthony W. Leung |
| title_full_unstemmed | Nonlinear systems of partial differential equations applications to life and physical sciences Anthony W. Leung |
| title_short | Nonlinear systems of partial differential equations |
| title_sort | nonlinear systems of partial differential equations applications to life and physical sciences |
| title_sub | applications to life and physical sciences |
| topic | Differential equations, Partial Differential equations, Nonlinear Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Differential equations, Partial Differential equations, Nonlinear Nichtlineare partielle Differentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7353#t=toc |
| work_keys_str_mv | AT leunganthonyw nonlinearsystemsofpartialdifferentialequationsapplicationstolifeandphysicalsciences |