Problem of disturbance identification by measurement in the vicinity of a point

• Autorzy: Leble S. , Vereshchagina I.

Identyfikatory

DOI

10.17466/TQ2016/20.2/N

• Języki publikacji: EN

Abstrakty

EN

A problem of wave identification is formulated. We propose a diagnostic analysis of medium disturbances based on distinguishing of components of a wave vector that is specific for each kind of the wave mode. Mathematically it is realized by projection operator technique. An example is considered in conditions of a one-dimensional Cauchy problem for a conventional wave equation in the matrix form and its version with weakly x-dependent coefficients as a demonstration of the method application for the simplest adiabatic theory of one-dimensional acoustics. The case of acoustics in a gas with a dissipation account is also discussed from the point of view of the wave and entropy mode diagnostics.

Słowa kluczowe

EN

wave disturbances; acoustics; disturbance

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2016
• Tom: Vol. 20, No 2
• Strony: 131--141
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Leble S.

• Faculty of Applied Physics and Mathematics Gdansk University of Technology Narutowicza 11/12, 80-233 Gdansk, Poland
• Department of Physics, Institute of Physics and Technology I. Kant Baltic Federal University A. Nevskogo, 14, 236041, Kaliningrad, Russia

autor

Vereshchagina I.

• Department of Physics, Institute of Physics and Technology I. Kant Baltic Federal University A. Nevskogo, 14, 236041, Kaliningrad, Russia

Bibliografia

• [1] Pedlosky J 2003 Waves in the Ocean and Atmosphere: Introdaction to Wave Dynamics, Springer-Verlag
• [2] Lavrent'ev M M 1967 Some Improperly Posed Problems in Mathematical Physics, Springer
• [3] Lavrent'ev M M and Savel'ev L Ya 1995 Linear Operators and Ill-Posed Problems, Consultants Bureau, Division of Plenum Publishing Corporation
• [4] Karpov I V, Bessarab F S and Leble S 2007 Vestnik BFU im. I. Kanta, a series of Sci. Science 4 76 (in Russian)
• [5] Romanov V G and Moshkalev P S 2011 Sibirskii Zhurnal Industrial'noi Matematiki, mathnet.ru
• [6] Lavrent'ev M M, Reznitskay K G and Yakhno V G 1986 AMS Trans. Ser. 2 130
• [7] Leble S 1988 Propagation of Nonlinear Waves in Stratified Media, Leningrad University Press (in Russian)
• [8] 1991 Nonlinear Waves in Waveguides, Springer-Verlag
• [9] Leble S and Vereshchagina I 2014, http://arxiv.org/abs/1403.7751
• [10] Kinsler P 2010 Phys. Rev. A 81, 023808
• [11] Kinsler P 2010 Phys. Rev. A 81, 013819
• [12] Kuszner M and Leble S 2011, J. Phys. Soc. Jpn. 80, 024002
• [13] Perelomova A 2006 Physics Letters A 357 42
• [14] Perelomova A 2009 Archives of Acoustics 34 (2) 127
• [15] Perelomova A and Leble S 2005 TMF 144 1030
• [16] Kinsler S B P and Radnor G H C 2005 Phys. Rev. A 72, 063807
• [17] Pierce A D 2002 Nonlinear Acoustics at the Beginning of the 21st Century, Rudenko O V and Sapozhnikov O A Eds., Faculty of Physics, MSU, 1 11
• [18] Makarov S and Ochmann M 1997 Acta Acustica united with Acustica 83 (2) 197

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę