OPANASENKO, Stanislav, Alexander BIHLO, Roman POPOVYCH a 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, roč. 411, č. 132546, s. "132546-1"-"132546-19", 19 s. ISSN 0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2020.132546. |
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@article{49264, author = {Opanasenko, Stanislav and Bihlo, Alexander and Popovych, Roman and Sergyeyev, Artur}, article_location = {Amsterdam}, article_number = {132546}, doi = {http://dx.doi.org/10.1016/j.physd.2020.132546}, keywords = {Generalized symmetry; Local conservation law; Recursion operator; Hamiltonian structure; Hydrodynamic-type system; Isothermal no-slip drift flux}, language = {eng}, issn = {0167-2789}, journal = {Physica D: Nonlinear Phenomena}, title = {Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model}, url = {https://www.sciencedirect.com/science/article/pii/S0167278920300506?via%3Dihub}, volume = {411}, year = {2020} }
TY - JOUR ID - 49264 AU - Opanasenko, Stanislav - Bihlo, Alexander - Popovych, Roman - Sergyeyev, Artur PY - 2020 TI - Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model JF - Physica D: Nonlinear Phenomena VL - 411 IS - 132546 SP - "132546-1"-"132546-19" EP - "132546-1"-"132546-19" PB - Elsevier B.V. SN - 01672789 KW - Generalized symmetry KW - Local conservation law KW - Recursion operator KW - Hamiltonian structure KW - Hydrodynamic-type system KW - Isothermal no-slip drift flux UR - https://www.sciencedirect.com/science/article/pii/S0167278920300506?via%3Dihub N2 - 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. ER -
OPANASENKO, Stanislav, Alexander BIHLO, Roman POPOVYCH a Artur SERGYEYEV. Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model. \textit{Physica D: Nonlinear Phenomena}. Amsterdam: Elsevier B.V., 2020, roč.~411, č.~132546, s.~''132546-1''-''132546-19'', 19 s. ISSN~0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2020.132546.
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