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

J 2020

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

OPANASENKO, Stanislav, Alexander BIHLO, Roman POPOVYCH a Artur SERGYEYEV

Základní údaje

Originální název

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

Autoři

OPANASENKO, Stanislav (804 Ukrajina, garant), Alexander BIHLO (40 Rakousko), Roman POPOVYCH (804 Ukrajina, domácí) a Artur SERGYEYEV (804 Ukrajina, domácí)

Vydání

Physica D: Nonlinear Phenomena, Amsterdam, Elsevier B.V. 2020, 0167-2789

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Physica D: Nonlinear Phenomena

Kód RIV

RIV/47813059:19610/20:A0000068

Organizační jednotka

Matematický ústav v Opavě

DOI

http://dx.doi.org/10.1016/j.physd.2020.132546

UT WoS

000558454900017

Klíčová slova anglicky

Generalized symmetry; Local conservation law; Recursion operator; Hamiltonian structure; Hydrodynamic-type system; Isothermal no-slip drift flux

Štítky

MÚ

Návaznosti

GBP201/12/G028, projekt VaV.

Změněno: 6. 4. 2021 13:40, Mgr. Aleš Ryšavý

Anotace

V originále

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.

Citovat

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.

@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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