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of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under general assumptions on the wave profile. 1 Introduction This paper ...
- tions, first constructed by Fraenkel for the case without swirl via the variational principle . In this paper, we consider axisymmetric vortex rings with swirl consisting of Beltrami fields with a non ...
Two variational principle (VP) families for fully 3-D transonic potential, Beltrami rotational flows with shocks in a rotor are put forth in terms of stream functions. By making use of functional ...
bracket and they are used to construct Energy–Casimir variational principles for deriving generalized XMHD equilibrium equations with arbitrary macroscopic flows . The system is then cast into the form ...
Two special stream functions are introduced for three dimensional inviscid compressible rotational flows , and variational principles for potential flow , Beltrami flow , and rotational flow ...
geometries, taking into account the boundary conditions, and for different symmetries. We show that the Kelvin waves are beltramized flows . Finally, we show that the variational principle found in a previous ...
. We first apply the variational principle to reduce the computation of KPP front speeds to a principal eigenvalue problem of a linear advection-diffusion operator with space-time periodic coefficients ...
Gaussians of variance |$\Sigma^2(k)/2$|. □ Loosely speaking, extremality forces fractal structure. 1.4 Infinitesimal analogue Suppose |$\mu \in M(\mathbb{D})$| is a Beltrami coefficient on the unit disk ...
), the heat flow into the model and the undisturbed gradient. This highlights that the systematic variation of the GST history is accompanied by a corresponding change in the steady-state parameters ...
the discussion, p. 13). In this language, we propose the least unsharpness principle , a variational principle selecting quantizations whose unsharpness metric has minimal possible volume on phase space. It turns ...
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