SERGYEYEV, Artur, Stanislav OPANASENKO, Alexander BIHLO and Roman POPOVYCH. Extended symmetry analysis of an isothermal no-slip drift flux model. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2020, vol. 402, No 132188, p. "132188-1"-"132188-16", 16 pp. ISSN 0167-2789. Available from: https://dx.doi.org/10.1016/j.physd.2019.132188.
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Basic information
Original name Extended symmetry analysis of an isothermal no-slip drift flux model
Authors SERGYEYEV, Artur (804 Ukraine, belonging to the institution), Stanislav OPANASENKO (804 Ukraine, guarantor), Alexander BIHLO (40 Austria) and Roman POPOVYCH (804 Ukraine, belonging to the institution).
Edition Physica D: Nonlinear Phenomena, Amsterdam, Elsevier B.V. 2020, 0167-2789.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW Physica D: Nonlinear Phenomena
RIV identification code RIV/47813059:19610/20:A0000064
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.physd.2019.132188
UT WoS 000512219900003
Keywords in English Hydrodynamic-type system; Isothermal no-slip drift flux; Point symmetry; Exact solution; Generalized symmetry; Conservation law
Tags MÚ
Tags International impact, Reviewed
Links EF16_027/0008521, research and development project. GBP201/12/G028, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 14:09.
Abstract
We perform extended group analysis for a system of differential equations modeling an isothermal no slip drift flux. The maximal Lie invariance algebra of this system is proved to be infinite-dimensional. We also find the complete point symmetry group of this system, including discrete symmetries, using the megaideal-based version of the algebraic method. Optimal lists of one- and two-dimensional subalgebras of the maximal Lie invariance algebra in question are constructed and employed for obtaining reductions of the system under study. Since this system contains a subsystem of two equations that involves only two of three dependent variables, we also perform group analysis of this subsystem. The latter can be linearized by a composition of a fiber-preserving point transformation with a two-dimensional hodograph transformation to the Klein-Gordon equation. We also employ both the linearization and the generalized hodograph method for constructing the general solution of the entire system under study. We find inter alia genuinely generalized symmetries for this system and present the connection between them and the Lie symmetries of the subsystem we mentioned earlier. Hydrodynamic conservation laws and their generalizations are also constructed.
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