Displaying similar documents to “Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point ”

Steady tearing mode instabilities with a resistivity depending on a flux function

Atanda Boussari, Erich Maschke, Bernard Saramito (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider plasma tearing mode instabilities when the resistivity depends on a flux function (), for the plane slab model. This problem, represented by the MHD equations, is studied as a bifurcation problem. For so doing, it is written in the form , where is a compact operator in a suitable space and is the bifurcation parameter. In this work, the resistivity is not assumed to be a given quantity (as usually done in previous papers, see [1,2,5,7,8,9,10], but it depends non linearly...

Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space

Ryo Kobayashi, Masakazu Yamamoto, Shuichi Kawashima (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the initial value problem for the drift-diffusion model arising in semiconductor device simulation and plasma physics. We show that the corresponding stationary problem in the whole space ℝ admits a unique stationary solution in a general situation. Moreover, it is proved that when  ≥ 3, a unique solution to the initial value problem exists globally in time and converges to the corresponding stationary solution as time tends to infinity, provided that the amplitude of the stationary...

Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs

G. Bocharov, A. Danilov, Yu. Vassilevski, G.I. Marchuk, V.A. Chereshnev, B. Ludewig (2011)

Mathematical Modelling of Natural Phenomena

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This paper proposes a quantitative model of the reaction-diffusion type to examine the distribution of interferon- (IFN) in a lymph node (LN). The numerical treatment of the model is based on using an original unstructured mesh generation software Ani3D and nonlinear finite volume method for diffusion equations. The study results in suggestion that due to the variations in hydraulic conductivity of various zones of the secondary lymphoid...

A multi-D model for Raman amplification

Mathieu Colin, Thierry Colin (2011)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, 17 (2004) 297–330; Colin and Colin, 193 (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect to the direction of propagation...