OPANASENKO, Stanislav, Alexander BIHLO, Roman POPOVYCH and Artur SERGYEYEV. Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2020, vol. 411, No 132546, p. "132546-1"-"132546-19", 19 pp. ISSN 0167-2789. Available from: https://dx.doi.org/10.1016/j.physd.2020.132546.
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Basic information
Original name Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model
Authors OPANASENKO, Stanislav (804 Ukraine, guarantor), Alexander BIHLO (40 Austria), Roman POPOVYCH (804 Ukraine, belonging to the institution) and Artur SERGYEYEV (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:A0000068
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.physd.2020.132546
UT WoS 000558454900017
Keywords in English Generalized symmetry; Local conservation law; Recursion operator; Hamiltonian structure; Hydrodynamic-type system; Isothermal no-slip drift flux
Tags MÚ
Links GBP201/12/G028, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:40.
Abstract
We study the hydrodynamic-type system of differential equations modeling isothermal no-slip drift flux. Using the facts that the system is partially coupled and its subsystem reduces to the (1+1)-dimensional Klein-Gordon equation, we exhaustively describe generalized symmetries, cosymmetries and local conservation laws of this system. A generating set of local conservation laws under the action of generalized symmetries is proved to consist of two zeroth-order conservation laws. The subspace of translation-invariant conservation laws is singled out from the entire space of local conservation laws. We also find broad families of local recursion operators and a nonlocal recursion operator, and construct an infinite family of Hamiltonian structures involving an arbitrary function of a single argument. For each of the constructed Hamiltonian operators, we obtain the associated algebra of Hamiltonian symmetries.
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