Beltrami equations L¯t(g)=μ(·,t)Lt(g) on S3 (where Lt, |t|<1, are the Rossi operators i.e., Lt spans globally nonembeddable CR structure H(t) discovered by H. Rossi) derived such that to describe quasiconformal mappings f:S3→N⊂C2 from sphere S3,H(t). Using Greiner–Kohn–Stein solution Lewy equation and Bargmann representations of Heisenberg group, we solve for Sobolev-type solutions gt gt−v∈W...

The convergence property of the discrete Laplace–Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. In this paper we propose several simple discretization schemes of Laplace–Beltrami operators over triangulated surfaces. Convergence results for these discrete Laplace–Beltra...

A two-dimensional analytical solution is presented for stresses and displacements in an elastic curved beam forming incomplete ring frictionless unbonded contact with a rigid pin loaded by point force the presence of clearance. The circular modeled as thick ring, constrained at both ends plane stress state. displacement fields within are derived from biharmonic Airy function, according to Miche...

The two-fluid model of a plasma describes the strong coupling between the magnetic and the fluid aspects of the plasma. The Beltrami condition which demands alignment of vortices and flows becomes a system of simultaneous equations in the magnetic field and the flow velocity. Combining these equations yields the double curl Beltrami equation. General solvability of the equation has been proved ...

The convergence property of the discrete Laplace-Beltrami operator is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. The aim of this paper is to review several already used discrete Laplace-Beltrami operators over triangulated surface and study numerically as well as theoretically their conv...