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Nonlinear Equations with Small Parameter. Volume 2, Waves and Boundary Problems.

By: Material type: TextTextSeries: De Gruyter Series in Nonlinear Analysis and Applications ; 23/2Publisher: Berlin ; Boston : De Gruyter, [2018]Copyright date: ©2018Description: 1 online resource (XVIII, 423 p.)Content type:
Media type:
Carrier type:
ISBN:
  • 9783110533835
  • 9783110533903
  • 9783110534979
Subject(s): DDC classification:
  • 510 23
LOC classification:
  • QA427 .G54 2017
Other classification:
  • online - DeGruyter
Online resources: Available additional physical forms:
  • Issued also in print.
Contents:
Frontmatter -- Preface -- Contents -- Introduction -- 1. The Solitary Waves Generation due to Passage through the Local Resonance -- 2. Regular Perturbation of Ill-Posed Problems -- 3. Asymptotics at Characteristic Points -- 4. Asymptotic Expansions of Singular Perturbation Theory -- 5. Asymptotic Solution of the Schrödinger Equation -- 6. The Kelvin–Helmholtz Instability -- 7. Nonlinear Cauchy Problems for Elliptic Equations -- Bibliography -- Index
Summary: 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.
Holdings
Item type Current library Call number URL Status Notes Barcode
eBook eBook Biblioteca "Angelicum" Pont. Univ. S.Tommaso d'Aquino Nuvola online online - DeGruyter (Browse shelf(Opens below)) Online access Not for loan (Accesso limitato) Accesso per gli utenti autorizzati / Access for authorized users (dgr)9783110534979

Frontmatter -- Preface -- Contents -- Introduction -- 1. The Solitary Waves Generation due to Passage through the Local Resonance -- 2. Regular Perturbation of Ill-Posed Problems -- 3. Asymptotics at Characteristic Points -- 4. Asymptotic Expansions of Singular Perturbation Theory -- 5. Asymptotic Solution of the Schrödinger Equation -- 6. The Kelvin–Helmholtz Instability -- 7. Nonlinear Cauchy Problems for Elliptic Equations -- Bibliography -- Index

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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.

Issued also in print.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)