Linear and nonlinear evolution of double-humped ion distributions in strong unmagnetized shock structures

1985 ◽  
Vol 28 (12) ◽  
pp. 3581 ◽  
Author(s):  
Kanji Abe ◽  
Gyo Sakaguchi
Keyword(s):  
Nonlinear Evolution ◽  
Ion Distributions ◽  
Linear And Nonlinear

Instabilities of Jets and Fronts and their Nonlinear Evolution

2018 ◽  
Author(s):  
Vladimir Zeitlin
Keyword(s):  
Nonlinear Evolution ◽  
Baroclinic Instability ◽  
Trapped Modes ◽  
Nonlinear Saturation ◽  
Parallel Flows ◽  
Inertial Instability ◽  
Shear Instabilities ◽  
Linear And Nonlinear ◽  
Flow Configurations ◽  
Characteristic Features

Notions of linear and nonlinear hydrodynamic (in)stability are explained and criteria of instability of plane-parallel flows are presented. Instabilities of jets are investigated by direct pseudospectral collocation method in various flow configurations, starting from the classical barotropic and baroclinic instabilities. Characteristic features of instabilities are displayed, as well as typical patterns of their nonlinear saturation. It is shown that in the Phillips model of Chapter 5, new ageostrophic Rossby–Kelvin and shear instabilities appear at finite Rossby numbers. These instabilities are interpreted in terms of resonances among waves counter-propagating in the flow. It is demonstrated that the classical inertial instability is a specific case of ageostrophic baroclinic instability. At the equator it appears also in the barotropic configuration, and is related to resonances of Yanai waves. The nature of the inertial instability in terms of trapped modes is established. A variety of instabilities of density fronts is displayed.

Linear and nonlinear evolution of alpha-particle driven gap modes

1995 ◽  
Vol 37 (11A) ◽  
pp. A279-A290 ◽  
Author(s):  
S Briguglio ◽  
C Kar ◽  
F Romanelli ◽  
G Vlad ◽  
F Zonca
Keyword(s):  
Alpha Particle ◽  
Nonlinear Evolution ◽  
Linear And Nonlinear

scholarly journals Reconnection in Sheared Magnetic Fields in Space and Astrophysics

1985 ◽  
Vol 107 ◽  
pp. 61-81
Author(s):  
James F. Drake
Keyword(s):  
Energy Dissipation ◽  
Magnetic Fields ◽  
Nonlinear Evolution ◽  
Magnetic Energy ◽  
Coronal Loops ◽  
Theoretical Understanding ◽  
Physical Mechanisms ◽  
Linear And Nonlinear

The current theoretical understanding of the linear and nonlinear evolution of resistive tearing instabilities in sheared magnetic fields is reviewed. The physical mechanisms underlying this instability are emphasized. Some of the problems which are encountered in developing a model of magnetic energy dissipation in coronal loops are discussed and possible solutions are suggested.

Linear and nonlinear evolution of boundary layer instabilities generated by acoustic‐receptivity mechanisms

1996 ◽  
Vol 8 (6) ◽  
pp. 1415-1423 ◽  
Author(s):  
Kenneth S. Breuer ◽  
Elizabeth G. Dzenitis ◽  
Jonas Gunnarsson ◽  
Mats Ullmar
Keyword(s):  
Boundary Layer ◽  
Nonlinear Evolution ◽  
Linear And Nonlinear

scholarly journals Relativistic filamentary equilibria

2010 ◽  
Vol 77 (2) ◽  
pp. 193-205 ◽  
Author(s):  
M. GEDALIN ◽  
A. SPITKOVSKY ◽  
M. MEDVEDEV ◽  
M. BALIKHIN ◽  
V. KRASNOSELSKIKH ◽  
...  
Keyword(s):  
Current Sheet ◽  
Inertial Confinement Fusion ◽  
Nonlinear Evolution ◽  
Analytical Description ◽  
Inertial Confinement ◽  
Collisionless Shocks ◽  
Confinement Fusion ◽  
Linear And Nonlinear ◽  
Periodic Current

AbstractPlasma filamentation is often encountered in collisionless shocks and inertial confinement fusion. We develop a general analytical description of the two-dimensional relativistic filamentary equilibrium and derive the conditions for existence of potential-free equilibria. A pseudopotential equation for the vector-potential is constructed for cold and relativistic Maxwellian distributions. The role of counter-streaming is explained. We present single current sheet and periodic current sheet solutions, and analyze the equilibria with electric potential. These solutions can be used to study linear and nonlinear evolution of the relativistic filamentation instability.

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