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Physics-Informed Kolmogorov-Arnold Networks for Grad-Shafranov Tokamak Equilibria
D. A. Kaltsas, A. Kuiroukidis, J. Liu +2
We employ equation-driven, physics-constrained deep learning to solve the fixed-boundary Grad-Shafranov (GS) equilibrium problem, constructing axisymmetric magnetohydrodynamic equi…
A special exact class of three-dimensional equilibria of a magnetized plasma exhibiting closed and nested toroidal magnetic surfaces
D. A. Kaltsas, A. I. Kuiroukidis, G. N. Throumoulopoulos
We construct a special class of three-dimensional (3D) equilibria with pressure anisotropy which showcase closed, nested toroidal magnetic surfaces that are strongly asymmetric in…
Imposing quasineutrality on electrostatic plasmas via the Dirac theory of constraints
D. A. Kaltsas, J. W. Burby, P. J. Morrison +2
We present a method for imposing quasineutrality and, more generally, charge density conservation in the Vlasov-Poisson (VP) and Vlasov-Ampère (VA) systems, which describe electros…
Hybrid fluid-kinetic cylindrical equilibria with axial background magnetic field
D. A. Kaltsas, A. I. Kuiroukidis, G. N. Throumoulopoulos
Self-consistent, one-dimensional quasineutral screw-pinch equilibria are constructed within a hybrid model that couples fluid electrons with kinetic ions governed by the Vlasov equ…
New axisymmetric equilibria with flow from an expansion about the generalized Solov'ev solution
A. I. Kuiroukidis, D. A. Kaltsas, G. N. Throumoulopoulos
We construct analytic solutions to the generalized Grad-Shafranov equation, which incorporates both toroidal and poloidal flows. This is achieved by adopting a general linearizing…
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-…