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Three- dimensional filaments of quasi-geostrophic potential vorticity are generic features of atmospheric and oceanic flows. They are often generated during the strong interactions between three ...
Two - dimensional dissipative solitons are described by the complex Ginzburg–Landau equation, with cubic-quintic nonlinearity compensating for diffraction, while linear and nonlinear losses ...
The effects of uniform straining and shearing on the stability of a surface quasi‐geostrophic temperature filament are investigated. Straining is shown to stabilize perturbations for wide filaments ...
prove nonlinear stability results in the $L^1$ norm of the vorticity , for $m$-fold symmetric perturbations. This is obtained by proving that the Kelvin wave is a strict local maximizer of the energy ...
of the two - dimensional incompressible Euler equa- tions near Lamb’s vortex dipole. Recall that in terms of the vorticity , the 2D Euler equation is given by ∂ ω + u · ∇ω = 0, u = K[ω] = K ∗ ω in R × (0,∞), (1.1 ...
of the ring as a vortical filament . The theory predicts that the ring is stable for $1 \leq \lambda \leq 2$, where $\lambda=\omega_z/\omega_r$ is the ratio of the trapping frequencies along the $z$ and $r$ axes ...
and PV streamers are respectively identified as two - and three- dimensional objects and tracked during their life cycle. PV streamers are more frequent than WCB outflows and nearly 15% of all PV streamers ...
) and Mg2+ (5 mM). Below 0.2 μM, no FtsZ filaments could be detected (S2 Fig). Interestingly, increasing the protein concentration to around 1.0 μM resulted in the formation of abundant three- dimensional ...
of 0.01–0.1 may be reached within approximately 200 kyr, corresponding to two free-fall times, as defined for cylindrical systems, of the filaments . astrochemistry, magnetic fields, MHD, turbulence, stars ...
adapt a regularized elastohydrodynamic model of flagella by Simons et al. (2015, A fully three- dimensional model of the interaction of driven elastic filaments in a Stokes flow with applications to sperm ...
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