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Recent studies have shown direct ion heating (vashistha2020new,Juneja_2023) by lasers EM (Electromagnetic) wave interacting with a plasma threaded by an external uniform magnetic field. The EM wave frequency was near the lower hybrid (LH)…

Plasma Physics · Physics 2024-04-22 Rohit Juneja , Trishul Dhalia , Amita Das

Electric and magnetic fields of fractal distribution of charged particles are considered. The fractional integrals are used to describe fractal distribution. The fractional integrals are considered as approximations of integrals on…

Plasma Physics · Physics 2015-06-26 Vasily E. Tarasov

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

A rigorous and most general covariant kinetic formalism is developed to study the nonlinear waves interaction in relativistic Vlasov plasmas. The typical nonlinear plasma reaction is a nonlinear current measured by the nonlinear plasma…

Plasma Physics · Physics 2009-11-11 M. Lazar , R. Schlickeiser

Nonlinear dynamics of collisionless non-neutral plasma in an external electrical trapping field is considered. Time-dependent solution of the nonlinear Vlasov-Poisson equations are obtained. The influence of initial conditions on the…

Plasma Physics · Physics 2021-12-08 A. R. Karimov , A. A. Dementev , S. A. Terekhov

Large amplitude waves in magnetized plasmas, generated either by external pumps or internal instabilities, can scatter via three-waves interactions. While three-wave scatterings in either forward or backward geometry are well-known, what…

Plasma Physics · Physics 2017-12-05 Yuan Shi , Hong Qin , Nathaniel J. Fisch

A full symmetry classification is given for models of energy transport in radiant plasma when the mass density is spatially variable and the diffusivity is nonlinear. A systematic search for conservation laws also leads to some potential…

Mathematical Physics · Physics 2015-06-18 P. Broadbridge , N. M. Ivanova

The equations of motion for a fully ionized hydrogenic plasma in applied coaxial electric and magnetic fields are analyzed, where the term for the Hall effect in the generalized Ohm's law equation picks up a factor of 1/2 relative to its…

Plasma Physics · Physics 2009-02-26 Robert W. Johnson

A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type…

Pattern Formation and Solitons · Physics 2010-04-14 S. A. El-Wakil , E. M. Abulwafa , E. K. El-Shewy , H. M. Abd-El-Hamid

A collisionless plasma is modeled by the Vlasov-Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive charge, which is independent of space and time, as x tends to…

Analysis of PDEs · Mathematics 2010-03-01 Stephen Pankavich

The relativistic Vlasov-Maxwell system of plasma physics is considered with initial data on a past light cone. This characteristic initial value problem arises in a natural way as a mathematical framework to study the existence of solutions…

Mathematical Physics · Physics 2009-11-11 Simone Calogero

The spectrum of electromagnetic waves propagating in a strongly coupled magnetized fully ionized hydrogen plasma is found. The ion motion and damping being neglected, the influence of the Coulomb coupling on the electromagnetic spectrum is…

Plasma Physics · Physics 2009-10-31 I. M. Tkachenko , J. Ortner , V. M. Rylyuk

The properties of obliquely propagating dissipative electron-acoustic solitary waves (OPdEASWs) have been investigated in a magnetized collisional superthermal plasma consisting of inertial cold electrons, inertialess hot electrons…

Plasma Physics · Physics 2020-06-04 M. R. Hassan , T. I. Rajib , S. Sultana

We consider a free boundary problem for the axially symmetric incompressible ideal magnetohydrodynamic equations that describes the motion of the plasma in vacuum. Both the plasma magnetic field and vacuum magnetic field are tangent along…

Analysis of PDEs · Mathematics 2017-11-28 Xumin Gu

The problem posed by the possible existence/non-existence of spatially non-symmetric kinetic equilibria has remained unsolved in plasma theory. For collisionless magnetized plasmas this involves the construction of stationary solutions of…

High Energy Astrophysical Phenomena · Physics 2023-07-04 Claudio Cremaschini , Massimo Tessarotto

The inhomogeneous wave equations for the scalar, vector, and Hertz potentials are derived starting from retarded charge, current, and polarization densities and then solved in the reciprocal (or k-) space to obtain general solutions, which…

Classical Physics · Physics 2025-09-10 Valerica Raicu

Relativistic electromagnetic plasma waves are described by a dynamical equation that can be solved not only in terms of plane waves, but for several different accelerating wavepacket solutions. Depending on the spatial and temporal…

Plasma Physics · Physics 2024-05-22 Felipe A. Asenjo

Electrostatic oscillations in cold electron-positron plasmas can be coupled to a propagating electromagnetic mode if the background magnetic field is inhomogeneous. Previous work considered this coupling in the quasi-linear regime,…

Astrophysics · Physics 2007-05-23 C. R. Stark , D. A. Diver , A. A. da Costa

Motivated by the fundamental model of a collisionless plasma, the Vlasov-Maxwell (VM) system, we consider a related, nonlinear system of partial differential equations in one space and one momentum dimension. As little is known regarding…

Analysis of PDEs · Mathematics 2015-09-01 Charles Nguyen , Jennifer Anderson , Stephen Pankavich

The behaviour of large amplitude electrostatic waves in cold plasma is investigated in the context of Born-Infeld electrodynamics. The equations of motion for the plasma are established using an unconstrained action principle. The maximum…

Plasma Physics · Physics 2011-02-18 D. A. Burton , R. M. G. M. Trines , T. J. Walton , H. Wen
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