Blow-Up in Quasilinear Parabolic Equations - A. A. Samarskii, Victor A. Galaktionov, Sergey p. Kurdyumov, A. P. Mikhailov

Blow-Up in Quasilinear Parabolic Equations

Buch | Hardcover
XXI, 533 Seiten
1995 | 1. Reprint 2011
De Gruyter (Verlag)
978-3-11-012754-6 (ISBN)
219,00 inkl. MwSt
Der Text behandelt neue Methoden zur Lösung nichtlinearer parabolischer Evolutionsgleichungen und faßt die Untersuchungen führender russischer Mathematiker innerhalb der letzten zwanzig Jahre erstmals in Buchform zusammen.
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, BrasilWalter D. Neumann, Columbia University, New York, USAMarkus J. Pflaum, University of Colorado, Boulder, USADierk Schleicher, Jacobs University, Bremen, GermanyKatrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Summery of contents:
1. Preliminary facts of the theory of second order quasilinear parabolic equations
2. Some quasilinear parabolic equations. Self-similar solutions and their asymptotic stability
3. Heat localization (inertia)
4. Nonlinear equation with a source. Blow-up regimes. Localization. Asymptotic behaviour of solutions.
5. Methods of generalized comparison of solutions of different nonlinear parabolic equations and their application.
6. Approximate self-similar solutions of nonlinear heat equations and their applications in the study of the localization effect
7. Some other methods of study of unbounded solutions

Erscheint lt. Verlag 28.3.1995
Reihe/Serie De Gruyter Expositions in Mathematics ; 19
Übersetzer Michael Grinfeld
Zusatzinfo 99 b/w ill.
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 1052 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
Schlagworte Blowing up • differential equation • Differential Equations • Differential equations, Parabolic • Differential equations, Partial • Differentialgleichung • Ecuaciones diferen • Ecuaciones diferenciales parabo licas • Ecuaciones diferenciales parabólicas • Hardcover, Softcover / Mathematik/Allgemeines, Lexika • HC/Mathematik/Analysis • JAMES/LEATHER • parabolic • Parabolische Differentialgleichung • Parabolische Differentialgleichungen • Partial • Quasilineare parabolische Differentialgleichung • SECOND-LANG.SPEECH • SOLA13
ISBN-10 3-11-012754-7 / 3110127547
ISBN-13 978-3-11-012754-6 / 9783110127546
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