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We consider a macroscopic model for the growth of living tissues incorporating pressure-driven dispersal and pressure-modulated proliferation. Assuming a power-law relation between the mechanical pressure and the cell density, the model can…

Analysis of PDEs · Mathematics 2024-03-29 Tomasz Dębiec , Piotr Gwiazda , Błażej Miasojedow , Zuzanna Szymańska

The relativistic Vlasov-Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: the so-called "one and one-half" dimensional case, and the…

Analysis of PDEs · Mathematics 2015-05-22 Jonathan Ben-Artzi , Thomas Holding

We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium with a real-valued negative permittivity/permeability which models a metal at optical frequency or an ideal negative metamaterial. We…

Analysis of PDEs · Mathematics 2013-11-27 Lucas Chesnel , Xavier Claeys , Sergey A. Nazarov

The linear stability of electrically driven flow of liquid metal in circular channel in the presence of vertical magnetic field is studied. It is shown that the instability threshold of such flow is determined by magnetorotational…

Astrophysics · Physics 2007-11-20 I. V. Khalzov , A. I. Smolyakov , V. I. Ilgisonis

We present 3D MHD simulations of purely toroidal and mixed poloidal-toroidal magnetic field configurations to study the behavior of the Tayler instability. For the first time the simultaneous action of rotation and magnetic diffusion are…

Solar and Stellar Astrophysics · Physics 2015-05-27 Juan C. Ibañez-Mejia , Jonathan Braithwaite

The MHD instabilities can generate complex field topologies even if the initial field configuration is a very simple one. We consider the stability properties of magnetic configurations containing a toroidal and an axial field. In this…

Astrophysics · Physics 2009-11-13 Alfio Bonanno , Vadim Urpin

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schroedinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and…

Pattern Formation and Solitons · Physics 2009-11-11 I. Kourakis , P. K. Shukla

Magnetic plasma instabilities appear to play an important role in the early stages of quark-gluon plasma equilibration in the high energy (weak coupling) limit. Numerical studies of the growth of such instabilities from small seed…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Guy D. Moore

The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the…

Fluid Dynamics · Physics 2015-05-14 Bengt Eliasson , Padma K. Shukla

We explore streaming instabilities of the electron-ion plasma with relativistic and ultra-relativistic cosmic rays in the background magnetic field in the multi-fluid approach. Cosmic rays can be both electrons and ions. The drift speed of…

High Energy Astrophysical Phenomena · Physics 2015-06-11 A. K. Nekrasov

In this paper we study the scaling relations for the triggering of the fast, or "ideal", tearing instability starting from equilibrium configurations relevant to astrophysical as well as laboratory plasmas that differ from the simple Harris…

Plasma Physics · Physics 2018-04-04 Fulvia Pucci , Marco Velli , Anna Tenerani , Daniele Del Sarto

This note studies classical magnetohydrodynamic shock waves in an inviscid fluidic plasma that is assumed to be a perfect conductor of heat as well as of electricity. For this mathematically prototypical material, it identifies a critical…

Analysis of PDEs · Mathematics 2015-05-21 Heinrich Freistuhler , Felix Kleber , Johannes Schropp

We present an investigation for the generation of intense magnetic fields in dense plasmas with an anisotropic electron Fermi-Dirac distribution. For this purpose, we use a new linear dispersion relation for transverse waves in the…

Plasma Physics · Physics 2015-05-13 F. Haas , P. K. Shukla , B. Eliasson

Ablating a target with an ultraintense laser pulse can create a cloud of collisionless plasma. A density ramp forms, in which the plasma density decreases and the ion's mean speed increases with distance from the plasma source. Its width…

Plasma Physics · Physics 2024-02-07 M E Dieckmann , L Palodhi , C Fegan , M Borghesi

We study linear theory of the magnetized Rayleigh-Taylor instability in a system consisting of ions and neutrals. Both components are affected by a uniform vertical gravitational field. We consider ions and neutrals as two separate fluid…

Astrophysics of Galaxies · Physics 2015-06-15 Mohsen Shadmehri , Asiyeh Yaghoobi , Mahdi Khajavi

Structural disorder results in multiple scattering in real photonic crystals, which have been widely used for applications and studied for fundamental interests. The interaction of light with such complex photonic media is expected to show…

Collisionless plasmas, such as those encountered in tokamaks, exhibit a rich variety of instabilities. The physical origin, triggering mechanisms and fundamental understanding of many plasma instabilities, however, are still open problems.…

Plasma Physics · Physics 2015-06-22 Valeria Ratushnaya , Ravi Samtaney

A full particle simulation study is carried out for studying microinstabilities generated at the shock front of perpendicular collisionless shocks. The structure and dynamics of shock waves are determined by Alfven Mach number and plasma…

Plasma Physics · Physics 2015-06-04 Takayuki Umeda , Yoshitaka Kidani , Shuichi Matsukiyo , Ryo Yamazaki

Magnetic buoyancy instability plays an important role in the evolution of astrophysical magnetic fields. Here we revisit the problem introduced by \citet{Gilman_1970} of the short wavelength linear stability of a plane layer of compressible…

Solar and Stellar Astrophysics · Physics 2015-06-15 K. A. Mizerski , C. R. Davies , D. W. Hughes

Previous studies of the modulation instability (MI) of continuous waves (CWs) in a two-core fiber (TCF) did not consider effects caused by co-propagation of the two polarized modes in a TCF that possesses birefringence, such as cross-phase…

Optics · Physics 2012-07-03 J. H. Li , K. S. Chiang , B. A. Malomed , K. W. Chow
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