English
Related papers

Related papers: Solving non-linear equations of longitudinal and t…

200 papers

In this paper, we study the nonlinear periodic Westervelt equation with excitations located within a bounded domain in $\mathbb{R}^d$, where $d \in \{2,3\}$, subject to Robin boundary conditions. This problem is of particular interest for…

Analysis of PDEs · Mathematics 2026-01-06 Benjamin Rainer , Barbara Kaltenbacher

In this paper, we address the theoretical resolution of the Vlasov-Gauss system from the linear regime to the strongly nonlinear one, when significant trapping has occurred. The electric field is that of a sinusoidal electron plasma wave…

Plasma Physics · Physics 2017-12-06 Didier Benisti

This paper provides a complete self-consistent nonlinear theory for electron plasma waves, within the framework of the adiabatic approximation. The theory applies whatever the variations of the wave amplitude, provided that they are slow…

Plasma Physics · Physics 2022-05-25 M. Tacu , D. Bénisti

Context. Spacecraft measurements have shown Kinetic Alfv\'en Waves propagating in the terrestrial magnetosphere at lower wavenormal angles than predicted by linear Vlasov theory of electron-proton plasmas. To explain these observations, it…

Plasma Physics · Physics 2023-07-05 Nicolás Villarroel-Sepúlveda , Rodrigo A. López , Pablo S. Moya

The article first studies the propagation of well prepared high frequency waves with small amplitude $\eps$ near constant solutions for entropy solutions of multidimensional nonlinear scalar conservation laws. Second, such oscillating…

Analysis of PDEs · Mathematics 2013-02-12 Stéphane Junca

We present a numerical model and a set of conservative algorithms for Non-Maxwellian plasma kinetics with inelastic collisions. These algorithms self-consistently solve for the time evolution of an isotropic electron energy distribution…

Plasma Physics · Physics 2017-12-12 H. P. Le , J. -L. Cambier

The theory of gauge transformations in linearized gravitation is investigated. After a brief discussion of the fundamentals of the kinetic theory in curved spacetime, the Einstein-Vlasov-Maxwell system of equations in terms of gauge…

Plasma Physics · Physics 2024-08-06 Lucas Bourscheidt , Fernando Haas

The aim of this paper is to give an account of some applications of pseudodifferential calculus for solving linear wave equations in the limit of high frequency/short wavelength waves. More specifically, on using as a benchmark the case of…

Mathematical Physics · Physics 2007-05-23 Omar Maj

A general nonlinear dispersion relation is derived in a nondifferential form for an adiabatic sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of trapped electrons. The linear dielectric function is…

Plasma Physics · Physics 2015-05-28 I. Y. Dodin , N. J. Fisch

Treatments of plasma waves usually assume homogeneity, but the parallel gradients ubiquitous in plasmas can modify wave propagation and absorption. We derive a quasilocal inhomogeneous correction to the plasma dielectric for arbitrary…

Plasma Physics · Physics 2025-10-23 S. J. Frank , J. C. Wright , P. T. Bonoli

In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave…

High Energy Physics - Theory · Physics 2009-11-11 E. M. C. Abreu , C. Pinheiro , S. A. Diniz , F. C. Khanna

We present a high order, Fourier penalty method for the Maxwell's equations in the vicinity of perfect electric conductor boundary conditions. The approach relies on extending the smooth non-periodic domain of the equations to a periodic…

Numerical Analysis · Mathematics 2016-01-20 Ryan Galagusz , David Shirokoff , Jean-Christophe Nave

There is considerable interest in the application of quantum information science to advance computations in plasma physics. Many of the topics in fusion plasma physics are classical in nature. In order to implement them on quantum computers…

Plasma Physics · Physics 2024-06-12 Abhay K. Ram , George Vahala , Linda Vahala , Min Soe

Particle acceleration consequences from fluctuating electric fields superposed on an X-type magnetic field in collisionless solar plasma are studied. Such a system is chosen to mimic generic features of dynamic reconnection, or the…

Astrophysics · Physics 2009-11-13 P. Petkaki , A. L. MacKinnon

Radiation of short-wavelength plasma waves is studied in a cold (Te=0.5eV), large (1.2m length, 70 cm diameter), uniform, Maxwellian laboratory magnetoplasma in the upper-hybrid frequency range. Although the characteristic parameter of…

Plasma Physics · Physics 2007-05-23 Mikhail V. Starodubtsev , Alexander V. Kostrov

A theoretical study is presented for the propagation of Dust Ion Acoustic Waves in an unmagnetized four-component plasma, consisting of Maxwellian negative ions, cold mobile positive ions, $\kappa$-distributed electrons and positively…

Plasma Physics · Physics 2021-02-03 Anjana Sinha , Biswajit Sahu

The nature of traveling wave solutions to equations of hydrodynamics of a generic three-dimensional electron gas with parabolic dispersion law depends on whether the motion is subsonic or supersonic. Solitons representing localized…

Plasma Physics · Physics 2018-08-15 Eugene B. Kolomeisky

The ubiquity of high-energy tails in the charged particle velocity distribution functions observed in space plasmas suggests the existence of an underlying process responsible for taking a fraction of the charged particle population out of…

Plasma Physics · Physics 2017-11-17 Sabrina F. Tigik , Luiz F. Ziebell , Peter H. Yoon

Electromagnetic field confinement due to plasma near accreting black holes can trigger superradiant instabilities at the linear level, limiting the spin of black holes and providing novel astrophysical sources of electromagnetic bursts.…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Enrico Cannizzaro , Fabrizio Corelli , Paolo Pani

The interaction of a multi-Petawatt, pancake-shaped laser pulse with an unmagnetized plasma is studied analytically and numerically in the regime of fully relativistic electron jitter velocities and in the context of the laser wakefield…

Plasma Physics · Physics 2014-07-31 Dušan Jovanović , Renato Fedele , Milivoj Belić , Sergio De Nicola