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Introduction to the Nonlinear Resonance Analysis (NRA)

來源:復旦大學數學科學學院 | 2019-10-09 | 發布:經管之家

報告題目: Introduction to the Nonlinear Resonance Analysis (NRA)報 告 人:Prof. Elena Tobisch報告人所在單位:Johannes Kepler University Linz報告日期:2019-10-14 星期一報告時間:10:00- 11:00報告地點:光華東主樓1501報告摘要:
The NRA is a part of mathematical physics dealing with nonlinear wave resonances observed in real physical systems. From pure mathematical point of view , the NRA can be regarded as a generalization of the classical Fourier analysis to the case of a nonlinear partial differential equations (PDE) with dispersive linear part and with nonlinear part being small in some well-defined sense. Resonance conditions have the form of a Diophantine equation.

In this talk I introduce the main ideas of the NRA and formulate its important theoretical results. Examples of application of the NRA for interpreting the results of a laboratory experiment (with water waves) and for describing natural phenomenon (the Earth's atmosphere) will be briefly presented.



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本年度學院報告總序號:212
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