Abstract parabolic evolution equations and their applications
The semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and systems. The author has studied abstract parabolic evolution equations and their applications to nonlinear diffusion equations and systems for more than 30 years. He gives first, after reviewing the th...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2010. |
| سلاسل: | Springer Monographs in Mathematics
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 2014-05-16 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Abstract parabolic evolution equations and their applications, Atsushi Yagi, 2010, Heidelberg, Springer, 1 vol. (XVIII-581 p.), Springer monographs in mathematics, 978-3-642-04630-8 |
| LEADER | 04077nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 943413 | ||
| 008 | 110106q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN149078447 | ||
| 020 | |a 9783642046315 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.3534 | ||
| 084 | |a 35K90. 2000 | ||
| 084 | |a 35K57. 2000 | ||
| 084 | |a 37L30. 2000 | ||
| 084 | |a 92D25. 2000 | ||
| 084 | |a 92D40. 2000 | ||
| 100 | 1 | |a Yagi, Atsushi, |d 1951- | |
| 245 | 1 | 0 | |a Abstract parabolic evolution equations and their applications |c Atsushi Yagi. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 2014-05-16 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preliminaries Sectorial Operators Linear Evolution Equations Semilinear Evolution Equations Quasilinear Evolution Equations Dynamical Systems Numerical Analysis Semiconductor Models Activator Inhibitor Models Belousov Zhabotinskii Reaction Models Forest Kinematic Model Chemotaxis Models Termite Mound Building Model Adsorbate-Induced Phase Transition Model Lotka Volterra Competition Model with Cross-Diffusion Characterization of Domains of Fractional Powers | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and systems. The author has studied abstract parabolic evolution equations and their applications to nonlinear diffusion equations and systems for more than 30 years. He gives first, after reviewing the theory of analytic semigroups, an overview of the theories of linear, semilinear and quasilinear abstract parabolic evolution equations as well as general strategies for constructing dynamical systems, attractors and stable-unstable manifolds associated with those nonlinear evolution equations. In the second half of the book, he shows how to apply the abstract results to various models in the real world focusing on various self-organization models: semiconductor model, activator-inhibitor model, B-Z reaction model, forest kinematic model, chemotaxis model, termite mound building model, phase transition model, and Lotka-Volterra competition model. The process and techniques are explained concretely in order to analyze nonlinear diffusion models by using the methods of abstract evolution equations. Thus the present book fills the gaps of related titles that either treat only very theoretical examples of equations or introduce many interesting models from Biology and Ecology, but do not base analytical arguments upon rigorous mathematical theories | ||
| 650 | |a Équations d'évolution | ||
| 650 | |a Équations différentielles paraboliques | ||
| 776 | 0 | |0 140726578 |t Abstract parabolic evolution equations and their applications |f Atsushi Yagi |d 2010 |c Heidelberg |n Springer |p 1 vol. (XVIII-581 p.) |s Springer monographs in mathematics |z 978-3-642-04630-8 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-04631-5 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-0CRFWV56-K |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747825475 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-04631-5 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750842601 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-04631-5 |z Accès INSA CVL | |
| 997 | |0 943413 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||