Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Yurii N. Grigoriev"'
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:10187-10200
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86fe995d76bce83b1b98f09b0421d8b2
https://doi.org/10.1002/mma.8361
https://doi.org/10.1002/mma.8361
Publikováno v:
Mathematical Methods in the Applied Sciences. 43:2444-2457
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c563170e789f5ce40e037ad490d7488
https://doi.org/10.1002/mma.6054
https://doi.org/10.1002/mma.6054
Autor:
Yurii N. Grigoriev, Adisak Karnbanjong, Sergey V. Meleshko, A. Suriyawichitseranee, Feng-Shan Long
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 48:350-360
This paper proposes an algorithm for group classification of a nonhomogeneous equation using the group analysis provided for the corresponding homogeneous equation. The approach is illustrated by a partial differential equation, an integro-differenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6f713ad7c57e0bbb1db39c38a24e947
https://doi.org/10.1016/j.cnsns.2017.01.006
https://doi.org/10.1016/j.cnsns.2017.01.006
Publikováno v:
AIP Conference Proceedings.
We apply the group analysis method to the plane one-dimensional equations of two-temperature gas dynamics. One class of invariant solutions is analyzed in the present paper. Stability of this class of solutions analytically as well numerically is con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45b14af2f477f3980cfba97fdfe49819
https://doi.org/10.1063/1.5125083
https://doi.org/10.1063/1.5125083
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 20:719-730
The paper is devoted to group analysis of the spatially homogeneous and isotropic Boltzmann equation with a source term. In fact, the Fourier transform of the Boltzmann equation with respect to the molecular velocity variable is considered. Using a p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7619781be20e771bf6a7e02ec6beeb84
https://doi.org/10.1016/j.cnsns.2014.06.047
https://doi.org/10.1016/j.cnsns.2014.06.047
Publikováno v:
AIP Conference Proceedings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57b7fe64c64957f676c3e665958e2c07
https://doi.org/10.1063/1.5007520
https://doi.org/10.1063/1.5007520
Publikováno v:
Symmetries of Integro-Differential Equations ISBN: 9789048137961
This chapter deals with applications of the group analysis method to stochastic differential equations. These equations are often obtained by including random fluctuations in differential equations, which have been deduced from phenomenological or ph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8da22732b2a751bf577707841f41b33
https://doi.org/10.1007/978-90-481-3797-8_5
https://doi.org/10.1007/978-90-481-3797-8_5
Publikováno v:
Symmetries of Integro-Differential Equations ISBN: 9789048137961
In this chapter an introduction into applications of group analysis to equations with nonlocal operators, in particular, to integro-differential equations is given. The most known integro-differential equations are kinetic equations which form a math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d1a10e751bcd2d46cf4065e69219ded
https://doi.org/10.1007/978-90-481-3797-8_2
https://doi.org/10.1007/978-90-481-3797-8_2
Publikováno v:
Symmetries of Integro-Differential Equations ISBN: 9789048137961
The chapter deals with applications of the group analysis method to the full Boltzmann kinetic equation and some similar equations. These equations form the foundation of the kinetic theory of rarefied gas and coagulation. They typically include spec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::050884f125e8c82e72fa11ceb919e893
https://doi.org/10.1007/978-90-481-3797-8_3
https://doi.org/10.1007/978-90-481-3797-8_3
Publikováno v:
Symmetries of Integro-Differential Equations ISBN: 9789048137961
In this chapter, applications of group analysis to delay differential equations are considered. Many mathematical models in biology, physics and engineering, where there is a time lag or aftereffect, are described by delay differential equations. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7dcaf95122b8d5ccf8ceed73fe247c8b
https://doi.org/10.1007/978-90-481-3797-8_6
https://doi.org/10.1007/978-90-481-3797-8_6