Zobrazeno 1 - 10
of 215
pro vyhledávání: '"Throumoulopoulos, G. N."'
The Burgers hierarchy consists of nonlinear evolutionary PDEs with increasingly higher-order dispersive and nonlinear terms, resulting in a rich variety of soliton solutions. Notable members include the Burgers equation and the Sharma-Tasso-Olver equ
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
Autor:
Tasso, H., Throumoulopoulos, G. N.
In the commended paper it is claimed that the proves of the "Resitive-Wall-Mode theorem" by Pfirsch and Tasso [Nucl. Fusion \textbf{11}, 259 (1971)] and extensions of that theorem for time dependent wall resistivity and equilibrium plasma flow are no
Externí odkaz:
http://arxiv.org/abs/2111.12333
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
It is believed that plasma rotation can affect the transitions to the advanced confinement regimes in tokamaks. In addition, in order to achieve fusion temperatures modern tokamaks rely on auxiliary heating methods. These methods generate pressure an
Externí odkaz:
http://arxiv.org/abs/2009.10422
We derive a sufficient condition for the linear stability of plasma equilibria with incompressible flow parallel to the magnetic field, $\bf B$, constant mass density and anisotropic pressure such that the quantity $\sigma_d= \mu_0(P_\parallel -P_\pe
Externí odkaz:
http://arxiv.org/abs/2001.05750
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