Waves and boundary problems
著者
書誌事項
Waves and boundary problems
（De Gruyter series in nonlinear analysis and applications, v. 23 . Nonlinear equations with small parameter ; v. 2）
De Gruyter, c2018
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注記
Includes bibliographical references (p. [407]-419) and index
内容説明・目次
内容説明
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.
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