We extend results of Dos Santos Ferreira-Kenig-SjöstrandUhlmann (arXiv:math.AP/0601466) to less smooth coefficients, and we show that measurements on part of the boundary for the magnetic Schrödinger operator determine uniquely the magnetic field related to a Hölder continuous potential. We give a similar result for determining a convection term. The proofs involve Carleman estimates, a smoothi...

Abstract   The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible Navier-Stokes equations. The immersed boundary conditions are implemented via direct modification of the convection and diffusion terms, and therefore, in contrast to some other similar ...

In this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by Boundary Elements. The integrals in Boundary Integrals Equations are inherently singular. For example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...

We note that the decoherence of inflationary curvature perturbation $\zeta$ is dominated by a boundary term gravity action. Although this cannot affect cosmological correlators $\left\langle \zeta^n \right\rangle$, it induces much faster for than previous calculations. The gravitational origin sheds light on quantum (or non-classical) nature gravity. By comparing with Schr\"odinger-Newton toy m...