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19922026
most citedArtificial Neural Networks for Solving Ordinary and Partial Differential Equations

2.4k citations

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46 papers · 1 filter

physics.plasm-ph2025★ 1 cited

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…

physics.plasm-ph2025

Laser-driven ion acceleration in long-lived optically shaped gaseous targets enhanced by magnetic vortices

I. Tazes, S. Passalidis, G. Andrianaki +11

This research demonstrates high-repetition-rate laser-accelerated ion beams via dual, intersecting, counterpropagating laser-driven blast waves to precisely shape underdense gas in…

physics.plasm-ph2024

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…

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★ 3 cited

Axisymmetric hybrid Vlasov equilibria with applications to tokamak plasmas

D. A. Kaltsas, A. Kuiroukidis, P. J. Morrison +1

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 Ma…

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…