Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions
The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts...
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2010. |
| Serier: | Progress in Nonlinear Differential Equations and Their Applications
79 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear partial differential equations, asymptotic behavior of solutions and self-similar solutions, Mi-Ho Giga, Yoshikaku Giga, Jürgen Saal, 2010, Boston, Birkhäuser, 1 vol. (XVIII-294 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-4173-3 |
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| 100 | 1 | |a Giga, Mi-Ho, |d 19..-...., |c chercheuse en mathématiques. | |
| 245 | 1 | 0 | |a Nonlinear partial differential equations : |b asymptotic behavior of solutions and self-similar solutions |c by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 79 |x 2374-0280 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Asymptotic Behavior of Solutions of Partial Differential Equations Behavior Near Time Infinity of Solutions of the Heat Equation Behavior Near Time Infinity of Solutions of the Vorticity Equations Self-Similar Solutions for Various Equations Useful Analytic Tools Various Properties of Solutions of the Heat Equation Compactness Theorems Calculus Inequalities Convergence Theorems in the Theory of Integration. | |
| 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 main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier -Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Équations différentielles non linéaires |x Théorie asymptotique | ||
| 700 | 1 | |a Giga, Yoshikazu, |d 1955-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Saal, Jürgen, |d 19..-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 145558681 |t Nonlinear partial differential equations |o asymptotic behavior of solutions and self-similar solutions |f Mi-Ho Giga, Yoshikaku Giga, Jürgen Saal |d 2010 |c Boston |n Birkhäuser |p 1 vol. (XVIII-294 p.) |s Progress in nonlinear differential equations and their applications |z 978-0-8176-4173-3 | |
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