Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110

Выпуски:
Том 47, 2020 Том 46, 2019 Том 45, 2018 Том 44, 2017 Том 43, 2016 Том 42, 2015 Том 41, 2014 Том 40, 2013 Том 39, 2012 Том 38, 2011 Том 37, 2010 Том 36, 2009 Том 35, 2008 Том 34, 2007 Том 33, 2006 Том 32, 2005 Том 31, 2004 Том 30, 2003 Том 29, 2002 Том 28, 2001 Том 27, 2000 Том 26, 1999 Том 25, 1998 Том 24, 1997 Том 23, 1996 Том 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i4.70
7 pages

Violation of the Solution Superposition Principle for the Initial-Boundary Problem with Mobile Boundaries for Wave Equation

V. A. Pozdeev
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv; and Institute of Pulse Processes and Technologies of National Academy of Sciences of Ukraine, Mykolayiv, Ukraine

Краткое описание

Violation of the superposition principle when allowing for moving boundaries, even in the case of a linear wave equation, is shown on an example of analytical solution of the initial-boundary problem on acoustic wave radiation by a moving plane piston. The developed solution for the piston motion, represented as a superposition of low-amplitude oscillations upon the constant velocity, describes the well-known Doppler effect. All results are obtained on the basis of the non-linear time transformation technique.


Articles with similar content:

The Effect of Weak Shock Waves on Elastic Barriers with Constructive Heterogeneity
International Journal of Fluid Mechanics Research, Vol.28, 2001, issue 4
L. B. Lerman
Quadratic Systems with Delay
Journal of Automation and Information Sciences, Vol.45, 2013, issue 2
Irada A. Dzhalladova, Denis Ya. Khusainov
INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. PRINCIPLES
Heat Transfer Research, Vol.47, 2016, issue 11
Valery A. Kot
SCATTERING OF ANHARMONIC SIGNALS ON FINITE-LENGTH DIFFRACTION LATTICES OF ARBITRARY PROFILE
Telecommunications and Radio Engineering, Vol.71, 2012, issue 18
S. E. Shaldaev
Averaging of Equations of Optimal Motion in Strong Central Gravitational Field with Constant and Controllable Thrust
Journal of Automation and Information Sciences, Vol.37, 2005, issue 10
Zoya V. Pasechnik, Boris N. Kiforenko, Igor Yu. Vasil'ev