Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift ...

@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., roč.~411, č.~132546, s.~''132546-1''-''132546-19'', 19 s. ISSN~0167-2789. doi:10.1016/j.physd.2020.132546. 2020.