Institute of Thermomechanics Seminar

organized by the Institute of Thermomechanics of the CAS, v. v. i.,
every first Wednesday of the month at 10:00
in the Conference Room B or A in the main building of the Institute of Thermomechanics of the CAS, v. v. i. (see directions)


Programme: 2017 | 2016 | 2015 | 2014

Next Lecture

Monday, October 2, 2017, 10:00, Conference Room B

2D Discrete Spectral Analysis – A Tool for Examining
of Complicated Wave Structures

Prof. Andrus Salupere

Department of Cybernetics, School of Science,
Tallinn University of Technology


Lecture outline:
In case of 1D wave propagation the discrete spectral analysis is very helpful method in order to analyze the space-time behavior of different wave structures. Here we generalize the method to 2D case. The Kadomtsev–Petviashvili equation is applied as a model equation. For numerical integration the pseudo-spectral method is applied. We demonstrate how 2D spectral characteristics can be applied for analysis of complicated wave structures that can be formed from different initial pulses in case of the Kadomtsev–Petviashvili equation. Recurrence phenomenon, temporal periodicity and temporal symmetry of the solution will be discussed.

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