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

Kód výsledku v IS VaVaI

RIV/47813059:19610/20:A0000068 - isvavai.cz

Výsledek na webu

https://www.sciencedirect.com/science/article/pii/S0167278920300506?via%3Dihub

DOI - Digital Object Identifier

10.1016/j.physd.2020.132546

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physica D: Nonlinear Phenomena

ISSN

0167-2789

e-ISSN

1872-8022

Svazek periodika

411

Číslo periodika v rámci svazku

132546

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

19

Strana od-do

„132546-1“-„132546-19“

Kód UT WoS článku

000558454900017

EID výsledku v databázi Scopus

2-s2.0-85086077115