Инд. авторы:	Chirkunov Y.A.
Заглавие:	Invariant submodels of the Westervelt model with dissipation
Библ. ссылка:	Chirkunov Y.A. Invariant submodels of the Westervelt model with dissipation // International Journal of Non-Linear Mechanics. - 2016. - Vol.84. - P.139-144. - ISSN 0020-7462. - EISSN 1878-5638.
Внешние системы:	DOI: 10.1016/j.ijnonlinmec.2016.05.002; SCOPUS: 2-s2.0-84971009493;
Реферат:	eng: We study three-dimensional Westervelt model of nonlinear hydroacoustics with dissipation. We received all its invariant submodels. With the help of invariant solutions, we explored some wave processes, specifying their physical meaning. The boundary value problems describing these processes are reduced to the nonlinear integro-differential equations. We established the existence and uniqueness of the solutions of these boundary value problems under some additional conditions. Also we considered the invariant solutions of rank 2 and 3. Mechanical relevance of the obtained solutions is as follows: (1) these solutions describe nonlinear and diffraction effects in ultrasonic fields of a special kind, (2) these solutions can be used as a test solutions in the numerical calculations performed in studies of ultrasonic fields generated by powerful emitters. © 2016 Elsevier Ltd. All rights reserved.
Ключевые слова:	Nonlinear Westervelt model of hydroacoustics with dissipation; Ultrasonic field; Boundary value problems; Differential equations; Integrodifferential equations; Underwater acoustics; Diffraction effects; Non-linear integro-differential equations; Numerical calculation; Physical meanings; Ultrasonic field; Nonlinear equations; Submodels; Invariant solutions; Intensive acoustic waves; Existence and uniqueness; Invariant submodels;
Издано:	2016
Физ. характеристика:	с.139-144