This article is cited in 3 papers

Differentical equations, dynamical systems and optimal control

Linear problem of shock wave disturbance analysis. Part 3: Refraction and reflection in the neutral stability case

E. V. Semenko, T. I. Semenko

Novosibirsk State Technical University, Prospekt K. Marksa 20, 630073, Novosibirsk, Russia

Abstract: The refraction and reflection in the neutral stability case, particularly the spontaneous emission, is investigated. The real agent (source) of spontaneous emission under the linear theory is indicated. The availability of infinite wave amplitudes at the plane waves refraction/reflection is disproved. The generalized generation and reflection coefficients for the appropriate description of refraction and reflection in the neutral stability case is proposed.

Keywords: shock wave, shock disturbance, entropy-vorticity wave, acoustic wave, incident wave, refraction, transmitted wave, reflection, reflected wave, stability, neutral stability, spontaneous emission, Fourier transform.

UDC: 517.958, 532.5

MSC: 35A21, 35A22, 35D30, 76L05

Received December 13, 2016, published May 23, 2017

Language: English

DOI: 10.17377/semi.2017.14.040

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