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In this paper, we study the well-posedness of classical solutions to a two-phase flow model consisting of the pressureless Euler equations coupled with the isentropic compressible Navier-Stokes equations via a drag forcing term. We consider…

Analysis of PDEs · Mathematics 2025-05-12 Hai-Liang Li , Yuexun Wang , Yue Zhang

This paper extends the semianalytical treatment of fast ion current density to take into account time dependence and velocity diffusion using solutions of Boltzmann equation with a complete Coulomb collision term (Goncharov et al. 2010…

Plasma Physics · Physics 2011-09-26 P. R. Goncharov , B. V. Kuteev , V. Yu. Sergeev , T. Ozaki , S. Sudo

We discuss how the Cholesky decomposition may be used to ascertain whether a critical point of the field theory scalar potential provides a stable vacuum configuration. We then use this method to derive the stability conditions in a…

High Energy Physics - Phenomenology · Physics 2011-06-13 James Unwin

This paper expands on the TRANSP description given in Computer Physics Communications 312 (2025) 109611 by describing recent progress in TRANSP's predictive functionality and emphasizing the development of the PT_SOLVER module and…

In a recent manuscript published in the Arxives (arXiv:1610.03049v1), it is claimed that it should be more appropriate to refer to the equation of hydrostatic equilibrium in a static spherically symmetric spacetime, supported by an…

History and Philosophy of Physics · Physics 2016-11-22 L. Herrera

Self-similar solution is obtained for propagation of a strong shock, in a flat expanding dusty Friedman universe. Approximate analytic solution was obtained earlier, using relation between self-similar variables, equivalent to the exact…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-24 Gennadiy S. Bisnovatyi-Kogan , Sofya A. Panafidina

The plasma edge of a tokamak configuration is characterized by turbulent dynamics leading to enhanced transport. We construct a simplified 3D Hasegawa--Wakatani model reducing to a single partial differential equation for the turbulent…

Plasma Physics · Physics 2023-09-13 Nakia Carlevaro , Giovanni Montani , Fabio Moretti

We evaluate the Hadamard function and the vacuum expectation value (VEV) of the current density for a charged scalar field, induced by flat boundaries in spacetimes with an arbitrary number of toroidally compactified spatial dimensions. The…

High Energy Physics - Theory · Physics 2015-08-27 S. Bellucci , A. A. Saharian , N. A. Saharyan

We consider the theory and application of a solution method for the inverse problem in collisionless equilibria, namely that of calculating a Vlasov-Maxwell equilibrium for a given macroscopic (fluid) equilibrium. Using Jeans' Theorem, the…

Plasma Physics · Physics 2016-07-20 O. Allanson , T. Neukirch , S. Troscheit , F. Wilson

A largely unsolved theoretical issue in controlled fusion research is the consistent \textit{kinetic} treatment of slowly-time varying plasma states occurring in collisionless and magnetized axisymmetric plasmas. The phenomenology may…

Plasma Physics · Physics 2015-05-30 Claudio Cremaschini , Massimo Tessarotto

In this paper we propose a vertical stabilization~(VS) control system for tokamak plasmas based on the extremum seeking (ES) algorithm. The gist of the proposed strategy is to inject an oscillating term in the control action and exploit a…

The Kitaev honeycomb model supports gapless and gapped quantum spin liquid phases. Its exact solvability relies on extensively many locally conserved quantities. Any real-world manifestation of these phases would include imperfections in…

Strongly Correlated Electrons · Physics 2025-01-30 Ihor Yatsuta , David F. Mross

We investigate spherically symmetric solutions with pressure and discuss the existence of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and obtain gauge invariant conditions relating not only the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Morgan Le Delliou , José Pedro Mimoso

In addition to the two standard solutions of the quantum field equations having the form e^{+/-(iwt-ikx)}, there exist two additional solutions of the form e^{+/-(iwt+ikx). By incorporating these latter solutions, deemed "supplemental…

Astrophysics · Physics 2007-07-19 Robert D. Klauber

Ions accelerated by electric fields (so-called runaway ions) in plasmas may explain observations in solar flares and fusion experiments, however limitations of previous analytic work have prevented definite conclusions. In this work we…

Plasma Physics · Physics 2015-06-11 Ola Embréus , Sarah Newton , Adam Stahl , Eero Hirvijoki , Tünde Fülöp

We suggest a new perspective on the Cosmological Constant Problem by scrutinizing its standard formulation. In classical and quantum mechanics without gravity, there is no definition of the zero point of energy. Furthermore, the Casimir…

High Energy Physics - Theory · Physics 2014-09-25 Denis Bernard , André LeClair

We present a covariant description of non-vacuum static spherically symmetric spacetimes in $f(R)$ gravity applying the (1+1+2) covariant formalism. The propagation equations are then used to derive a covariant and dimensionless form of the…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Mariam Campbell , Sante Carloni , Peter K. S. Dunsby , Nolene F. Naidu

Uncertainties and errors in magnetic equilibrium reconstructions are a wide-spread problem in interpreting experimental data measured in the tokamak edge. This study demonstrates errors in EFIT++ reconstructions performed on the COMPASS…

Plasma Physics · Physics 2020-01-29 K. Jirakova , O. Kovanda , J. Adamek , M. Komm , J. Seidl

The NASA Magnetospheric Multiscale mission has made in situ diffusion region and kinetic-scale resolution measurements of asymmetric magnetic reconnection for the first time, in the Earth's magnetopause. The principal theoretical tool…

Plasma Physics · Physics 2017-09-11 O. Allanson , F. Wilson , T. Neukirch , Y. -H. Liu , J. D. B. Hodgson

Tokamak plasmas are confined by a magnetic field that limits the particle and heat transport perpendicular to the field. Parallel to the field the ionised particles can move freely, so to obtain confinement the field lines are "closed" (ie.…

Plasma Physics · Physics 2017-11-17 Jarrod Leddy , Ben Dudson , Michele Romanelli , Brendan Shanahan , Nick Walkden
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