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About MHD system with small parameter
Asymptotic Analysis, 2005In this paper, we study the convergence of strong solutions of a MHD system. The proofs, in booth cases of ${\mathbb{T}}^{3}$ or ${\mathbb{R}}^{3}$ , are based on spectral properties of the penalized operator and the energy method. Moreover, in the case of the whole space, we prove a refined convergence result for initial data 2D + 3D.
Benameur, J., Ghazel, M., Majdoub, M.
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On Exponentially Small Effects in Dynamical Systems with a Small Parameter
Journal of Mathematical Sciences, 2005The author proves a theorem which makes it possible to treat different exponentially small effects in dynamics from a unified point of view. As an example, the problem of in fast averaging in multi-frequency systems with a slow variable belonging to a Banach space is discussed.
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Diffusion Processes Depending on a Small Parameter
Theory of Probability & Its Applications, 1962In this paper we consider a random disturbance of a system of ordinary differential equations which can be written in vector form as follows: \[ x( t ) = a ( {t,x} ), x( 0 ) = x_0 ,\quad t \in [ {0,t_0 } ],t < \infty .\]
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Non linear eigenvalues problems with a small parameter
Integral Equations and Operator Theory, 1984In this work we study nonlinear eigenvalues problems like \([-\sigma^ 2d^ 2/dt^ 2+(t^ 2-\mu)^ 2+1]u=0\) where \(\mu \in {\mathbb{C}}\), \(\sigma >0\), \(u\in {\mathcal S}({\mathbb{R}}^ n)\). More precisely we study the spectrum of the operator \(Q(\sigma;\mu)=-\sigma^ 2d^ 2/dt^ 2+(t^ 2-\mu)^ 2+1\) when \(\sigma \to 0\), \(\sigma >0\).
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Goormaghtigh's equation: small parameters
Publicationes Mathematicae Debrecen, 2020Michael A. Bennett +2 more
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Turbulence in systems with small parameters
Czechoslovak Journal of Physics, 1980Turbulence in systems where small parameters intervene, mainly through the interaction subsystem-environment, is described. The relaxation has typical features which determine experimental results. Fluctuations can be calculated and phase transitions can be predicted.
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FET Small Signal Modeling and Parameter
2010In this chapter, we introduce small-signal modeling and parameter extraction technique for FETs, an III-V compound semiconductor device pseudomorphic high electron-mobility transistor (PHEMT) is used as an example. The parameter extraction includes pad capacitances, extrinsic inductances, extrinsic resistances, and intrinsic elements extractions.
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Beta-Distribution for Small Parameters
Theory of Probability & Its Applications, 1970openaire +2 more sources