Waves and Boundary Problems

1. Auflage 2018
ISBN: 978-3-11-053383-5
Verlag: De Gruyter

Buch, Englisch, Band 23/2, 423 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 924 g

Reihe: De Gruyter Series in Nonlinear Analysis and Applications

This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.

Zielgruppe

Researchers and graduate students in mathematics and physics.

Autoren/Hrsg.

Glebov, Sergey G.

Tarkhanov, Nikolai N.

Kiselev, Oleg M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Über Autor(innen)

S. G. Glebov, Ufa St. Petr. Tech. Univ., Russia; O. M. Kiselev, Ufa Sci. Center, Russia; N. N. Tarkhanov, Univ. of Potsdam, Germany.