SERGYEYEV, Artur, Stanislav OPANASENKO, Alexander BIHLO a Roman POPOVYCH. Extended symmetry analysis of an isothermal no-slip drift flux model. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2020, roč. 402, č. 132188, s. "132188-1"-"132188-16", 16 s. ISSN 0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2019.132188. |
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@article{39680, author = {Sergyeyev, Artur and Opanasenko, Stanislav and Bihlo, Alexander and Popovych, Roman}, article_location = {Amsterdam}, article_number = {132188}, doi = {http://dx.doi.org/10.1016/j.physd.2019.132188}, keywords = {Hydrodynamic-type system; Isothermal no-slip drift flux; Point symmetry; Exact solution; Generalized symmetry; Conservation law}, language = {eng}, issn = {0167-2789}, journal = {Physica D: Nonlinear Phenomena}, title = {Extended symmetry analysis of an isothermal no-slip drift flux model}, url = {https://www.sciencedirect.com/science/article/pii/S0167278919301745?via%3Dihub}, volume = {402}, year = {2020} }
TY - JOUR ID - 39680 AU - Sergyeyev, Artur - Opanasenko, Stanislav - Bihlo, Alexander - Popovych, Roman PY - 2020 TI - Extended symmetry analysis of an isothermal no-slip drift flux model JF - Physica D: Nonlinear Phenomena VL - 402 IS - 132188 SP - "132188-1"-"132188-16" EP - "132188-1"-"132188-16" PB - Elsevier B.V. SN - 01672789 KW - Hydrodynamic-type system KW - Isothermal no-slip drift flux KW - Point symmetry KW - Exact solution KW - Generalized symmetry KW - Conservation law UR - https://www.sciencedirect.com/science/article/pii/S0167278919301745?via%3Dihub L2 - https://www.sciencedirect.com/science/article/pii/S0167278919301745?via%3Dihub N2 - We perform extended group analysis for a system of differential equations modeling an isothermal no slip drift flux. The maximal Lie invariance algebra of this system is proved to be infinite-dimensional. We also find the complete point symmetry group of this system, including discrete symmetries, using the megaideal-based version of the algebraic method. Optimal lists of one- and two-dimensional subalgebras of the maximal Lie invariance algebra in question are constructed and employed for obtaining reductions of the system under study. Since this system contains a subsystem of two equations that involves only two of three dependent variables, we also perform group analysis of this subsystem. The latter can be linearized by a composition of a fiber-preserving point transformation with a two-dimensional hodograph transformation to the Klein-Gordon equation. We also employ both the linearization and the generalized hodograph method for constructing the general solution of the entire system under study. We find inter alia genuinely generalized symmetries for this system and present the connection between them and the Lie symmetries of the subsystem we mentioned earlier. Hydrodynamic conservation laws and their generalizations are also constructed. ER -
SERGYEYEV, Artur, Stanislav OPANASENKO, Alexander BIHLO a Roman POPOVYCH. Extended symmetry analysis of an isothermal no-slip drift flux model. \textit{Physica D: Nonlinear Phenomena}. Amsterdam: Elsevier B.V., 2020, roč.~402, č.~132188, s.~''132188-1''-''132188-16'', 16 s. ISSN~0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2019.132188.
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