scholarly journals Nonlinear relaxation between magnons and phonons in insulating ferromagnets

2018 ◽  
Vol 98 (10) ◽  
Author(s):  
Valerij A. Shklovskij ◽  
Viktoriia V. Mezinova ◽  
Oleksandr V. Dobrovolskiy
Keyword(s):  
Nonlinear Relaxation

Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state

2019 ◽  
Vol 16 (01) ◽  
pp. 131-156
Author(s):  
Lanoir Addala ◽  
Mohamed Lazhar Tayeb
Keyword(s):  
Nonlinear Diffusion ◽  
Collision Operator ◽  
Nonlinear Diffusion Equation ◽  
One Dimension ◽  
Diffusion Limit ◽  
Poisson System ◽  
Nonlinear Relaxation ◽  
Contraction Property ◽  
Hilbert Expansion ◽  
Nonlinear Equilibrium

The diffusion approximation for a Boltzmann–Poisson system is studied. Nonlinear relaxation type collision operator is considered. A relative entropy is used to prove useful [Formula: see text]-estimates for the weak solutions of the scaled Boltzmann equation (coupled to Poisson) and to prove the convergence of the solution toward the solution of a nonlinear diffusion equation coupled to Poisson. In one dimension, a hybrid Hilbert expansion and the contraction property of the operator allow to exhibit a convergence rate.

Nonlinear relaxation/quasi-Newton algorithm for the compressible Navier-Stokes equations

AIAA Journal ◽  
1993 ◽  
Vol 31 (1) ◽  
pp. 57-60 ◽  
Author(s):  
Jack R. Edwards ◽  
D. Scott McRae
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Nonlinear Relaxation ◽  
Newton Algorithm ◽  
Quasi Newton

A new nonlinear relaxation scheme for solving semiconductor device equations

1991 ◽  
Vol 10 (9) ◽  
pp. 1175-1186 ◽  
Author(s):  
K.H. Bach ◽  
H.K. Dirks ◽  
B. Meinerzhagen ◽  
W.L. Engl
Keyword(s):  
Semiconductor Device ◽  
Nonlinear Relaxation ◽  
Relaxation Scheme

Nonlinear relaxation near the critical point: Molecular-field and scaling theory

1976 ◽  
Vol 13 (1) ◽  
pp. 263-270 ◽  
Author(s):  
Zoltán Rácz
Keyword(s):  
Critical Point ◽  
Scaling Theory ◽  
Molecular Field ◽  
Nonlinear Relaxation

Expansion and nonlinear relaxation of a strongly magnetized non‐neutral electron plasma due to elastic collisions with background neutral gas

1996 ◽  
Vol 3 (1) ◽  
pp. 218-225 ◽  
Author(s):  
Ronald C. Davidson ◽  
David A. Moore
Keyword(s):  
Electron Plasma ◽  
Elastic Collisions ◽  
Nonlinear Relaxation ◽  
Neutral Gas

scholarly journals High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems

2014 ◽  
Vol 36 (2) ◽  
pp. A377-A395 ◽  
Author(s):  
Sebastiano Boscarino ◽  
Philippe G. LeFloch ◽  
Giovanni Russo
Keyword(s):  
High Order ◽  
Asymptotic Preserving ◽  
Fully Nonlinear ◽  
Nonlinear Relaxation

scholarly journals High-current electron beam nonlinear relaxation in plasma and electron acceleration

1988 ◽  
Vol 6 (3) ◽  
pp. 607-612
Author(s):  
D. M. Karfidov ◽  
N. A. Nikolov ◽  
P. N. Malinov ◽  
I. P. Trifonov
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Beam Energy ◽  
Modulation Instability ◽  
Plasma Waves ◽  
High Current ◽  
High Current Electron Beam ◽  
Nonlinear Relaxation ◽  
Current Electron ◽  
High Current Electron

A nonlinear relaxation is observed when an electron beam interacts with plasma in an external magnetic field. An acceleration of electrons to energies which are more than twice that of the initial beam energy is observed. The acceleration mechanism is connected with the modulation instability of the plasma waves which is excited when the beam relaxes.

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