Explicit superposed and forced plane wave generalized Beltrami flows

Variational Beltrami flows over manifolds

We study, in this paper, the problem of denoising images/data which are defined over non-flat surfaces. This problem arises often in many medical imaging tasks. The Beltrami flow which was defined in an explicit-intrinsic manner is generalized here to non-flat surfaces and is defined in an implicit way. We formulate the flow in a variational way which is generalized to a scalar field defined ov...

Beltrami Operators in the Plane

We determine optimal L-properties for the solutions of the general nonlinear elliptic system in the plane of the form fz = H(z, fz), h ∈ L(C), where H is a measurable function satisfying |H(z,w1) − H(z,w2)| ≤ k|w1 − w2| and k is a constant k < 1. We also establish the precise invertibility and spectral properties in L(C) for the operators I − T μ, I − μT, and T − μ, where T is the Beurling tran...

Generalized Beltrami Flows and Other Closed-form Solutions of an Unsteady Viscoelastic Fluid

Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry

We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a planewave background, for any value of the mass parameter μ. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We ...

Beltrami States for Compressible Barotropic Flows

Beltrami states for compressible barotropic flows are deduced by minimizing the total kinetic energy while keeping the total helicity constant. A Hamiltonian basis for these Beltrami states is also sketched.