4 citations · 12 across the 51 of their papers we have counts for
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Stretching magnetic fields by dynamo plasmas in Riemannian knotted tubes
Garcia de Andrade
Recently Shukurov et al [Phys Rev E 72, 025302 (2008)], made use of non-orthogonal curvilinear coordinate system on a dynamo Moebius strip flow, to investigate the effect of stretc…
Spectrum of kinematic fast dynamo operator in Ricci flows
Garcia de Andrade
Spectrum of kinematic fast dynamo operators in Ricci compressible flows in Einstein 2-manifolds is investigated. A similar expression, to the one obtained by Chicone, Latushkin and…
Ricci dynamo stretch-shear plasma flows and magnetic energy bounds
Garcia de Andrade
Geometrical tools, used in Einstein's general relativity (GR), are applied to dynamo theory, in order to obtain fast dynamo action bounds to magnetic energy, from Killing symmetrie…
Lyapunov spectra in fast dynamo Ricci flows of negative sectional curvature
Garcia de Andrade
Previously Chicone, Latushkin and Montgomery-Smith [\textbf{Comm. Math. Phys. \textbf{173},(1995)}] have investigated the spectrum of the dynamo operator for an ideally conducting…
Geodesic dynamo chaotic flows and non-Anosov maps in twisted magnetic flux tubes
Garcia de Andrade
Recently Tang and Boozer [{\textbf{Phys. Plasmas (2000)}}], have investigated the anisotropies in magnetic field dynamo evolution, from local Lyapunov exponents, giving rise to a m…
Stretch-Twist torus dynamo in compact Riemannian manifolds
Garcia de Andrade
Earlier Arnold, Zeldovich, Ruzmaikin and Sokoloff [\textbf{JETP (1982)}] have computed the eigenvalue of a uniform stretching torus transformation which result on the first Riemann…
Conformal maps in periodic flows and in suppression of stretch-twist and fold on Riemannian manifolds
Garcia de Andrade
Examples of conformal dynamo maps have been presented earlier [Phys Plasmas \textbf{14}(2007)] where fast dynamos in twisted magnetic flux tubes in Riemannian manifolds were obtain…
The role of curvature and stretching in dynamo plasmas
Garcia de Andrade
Vishik's antidynamo theorem is applied to non-stretched twisted magnetic flux tube in Riemannian space. Marginal or slow dynamos along curved (folded), torsioned (twisted) and non-…
Stretch fast dynamo mechanism via conformal mapping in Riemannian manifolds
Garcia de Andrade
Two new analytical solutions of self-induction equation, in Riemannian manifolds are presented. The first represents a twisted magnetic flux tube or flux rope in plasma astrophysic…
Plasma planar filament instability and Alfven waves
Garcia de Andrade
Inhomogeneous plasmas filaments instabilities are investigated by using the techniques of classical differential geometry of curves where Frenet torsion and curvature describe comp…