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physics.plasm-ph2024★ 1 cited
A similarity reduction of the generalized Grad-Shafranov equation
A. I. Kuiroukidis, D. A. Kaltsas, G. N. Throumoulopoulos
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-…
physics.plasm-ph2023★ 8 cited
Chaotic and integrable magnetic fields in one-dimensional hybrid Vlasov-Maxwell equilibria
Dimitrios A. Kaltsas, Philip J. Morrison, George N. Throumoulopoulos
In this paper, we develop a one-dimensional (1-D), quasineutral, hybrid Vlasov-Maxwell equilibrium model with kinetic ions and massless fluid electrons and derive associated soluti…
physics.plasm-ph2021★ 17 cited
Neural network tokamak equilibria with incompressible flows
D. A. Kaltsas, G. N. Throumoulopoulos
We present several numerical solutions to a generalized Grad-Shafranov equation (GGSE), which governs axisymmetric plasma equilibria with incompressible flows of arbitrary directio…