Zobrazeno 1 - 10
of 157
pro vyhledávání: '"Kaltsas D"'
We construct analytic solutions to the generalized Grad-Shafranov (GS) equation, adopting the general linearizing ansatz for the free-function terms it contains, by expanding the genaralized Solov'ev solution [Ch. Simintzis, G. N. Throumoulopoulos, G
Externí odkaz:
http://arxiv.org/abs/2411.10876
The Burgers hierarchy consists of nonlinear evolutionary partial differential equations (PDEs) with progressively higher-order dispersive and nonlinear terms. Notable members of this hierarchy are the Burgers equation and the Sharma-Tasso-Olver equat
Externí odkaz:
http://arxiv.org/abs/2408.07027
Publikováno v:
Physics of Plasmas 31, 042503 (2024)
We extend previous work [Y. E. Litvinenko, Phys. Plasmas 17, 074502 (2010)] on a direct method for finding similarity reductions of partial differential equations such as the Grad-Shafranov equation, to the case of the generalized Grad-Shafranov equa
Externí odkaz:
http://arxiv.org/abs/2401.09061
Publikováno v:
Plasma Phys. Control. Fusion 66, 065016 (2024)
We derive axisymmetric equilibrium equations in the context of the hybrid Vlasov model with kinetic ions and massless fluid electrons, assuming isothermal electrons and deformed Maxwellian distribution functions for the kinetic ions. The equilibrium
Externí odkaz:
http://arxiv.org/abs/2309.16802
Equilibrium equations for magnetically confined, axisymmetric plasmas are derived by means of the energy-Casimir variational principle in the context of Hall magnetohydrodynamics (MHD). This approach stems from the noncanonical Hamiltonian structure
Externí odkaz:
http://arxiv.org/abs/2307.16091
Non-Hermitian topological systems simultaneously posses two antagonistic features: ultra sensitivity due to exceptional points and robustness of topological zero energy modes, and it is unclear which one prevails under different perturbations. We stu
Externí odkaz:
http://arxiv.org/abs/2203.02519
Publikováno v:
Phys. Plasmas 29, 022506 (2022)
We present several numerical solutions to a generalized Grad-Shafranov equation (GGSE), which governs axisymmetric plasma equilibria with incompressible flows of arbitrary direction, using fully connected, feed-forward, deep neural networks, also kno
Externí odkaz:
http://arxiv.org/abs/2109.12850
Publikováno v:
Journal of Plasma Physics, 87(5), 835870502 (2021)
We present two generalized hybrid kinetic-Hall magnetohydrodynamics (MHD) models describing the interaction of a two-fluid bulk plasma, which consists of thermal ions and electrons, with energetic, suprathermal ion populations described by Vlasov dyn
Externí odkaz:
http://arxiv.org/abs/2106.13060
Publikováno v:
Physics of Plasmas 26, 124501 (2019)
An analytic solution to a generalized Grad-Shafranov equation with flow of arbitrary direction is obtained upon adopting the generic linearizing ansatz for the free functions related to the poloidal current, the static pressure and the electric field
Externí odkaz:
http://arxiv.org/abs/1912.11813
In this note we propose a trilinear bracket formulation for the Hamiltonian extended Magnetohydrodynamics (XMHD) model with homogeneous mass density. The corresponding two-dimensional representation is derived by performing spatial reduction on the t
Externí odkaz:
http://arxiv.org/abs/1909.07202