Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Dorodnitsyn, V. A."'
Autor:
Kaptsov, E. I., Dorodnitsyn, V. A.
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (February 15, 2024) ocnmp:11245
Invariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the auth
Externí odkaz:
http://arxiv.org/abs/2304.03488
A Lagrangian formalism for variational second-order delay ordinary differential equations (DODEs) is developed. The Noether operator identity for a DODE is established, which relates the invariance of a Lagrangian function with the appropriate variat
Externí odkaz:
http://arxiv.org/abs/2303.09102
On the basis of the recent group classification of the one-dimensional magnetohydrodynamics (MHD) equations in cylindrical geometry, the construction of symmetry-preserving finite-difference schemes with conservation laws is carried out. New schemes
Externí odkaz:
http://arxiv.org/abs/2302.05280
Symmetries of the one-dimensional shallow water magnetohydrodynamics equations (SMHD) in Gilman's approximation are studied. The SMHD equations are considered in case of a plane and uneven bottom topography in Lagrangian and Eulerian coordinates. Sym
Externí odkaz:
http://arxiv.org/abs/2208.06219
Autor:
Kaptsov, E. I., Dorodnitsyn, V. A.
Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics (MHD) equations in mass Lagrangian coordinates for the cases of finite and infinite conductivity. For construction these schemes previously obtained results o
Externí odkaz:
http://arxiv.org/abs/2112.03118
The one-dimensional modified shallow water equations in Lagrangian coordinates are considered. It is shown the relationship between symmetries and conservation laws in Lagrangian coordinates, in mass Lagrangian variables, and Eulerian coordinates. Fo
Externí odkaz:
http://arxiv.org/abs/2111.08604
The two-dimensional shallow water equations in Eulerian and Lagrangain coordinates are considered. Lagrangian and Hamiltonian formalism of the equations is given. The transformations mapping the two-dimensional shallow water equations with a circular
Externí odkaz:
http://arxiv.org/abs/2012.04410
Autor:
Dorodnitsyn, V. A., Kaptsov, E. I.
The one-dimensional shallow water equations in Eulerian coordinates are considered. Relations between symmetries and conservation laws for the potential form of the equations, and symmetries and conservation laws in Eulerian coordinates are shown. An
Externí odkaz:
http://arxiv.org/abs/2009.00710
The paper is devoted to the Lie group properties of the one-dimensional Green-Naghdi equations describing the behavior of fluid flow over uneven bottom topography. The bottom topography is incorporated into the Green-Naghdi equations in two ways: in
Externí odkaz:
http://arxiv.org/abs/2008.12852