Recently, an exact Eulerian-Lagrangian theory of advective transport in spacetime random velocity fields was developed by one of us. We present a formal extension of this theory that accounts for anisotropic local dispersion. The resultant (conditional) mean transport equation is generally nonlocal in space-time. To assess the impact of local dispersion on the prediction of transport under unce...

where f = f(x), g = g(x), h = h(x), A = A(u) and B = B(u) are arbitrary smooth functions of their variables, f(x)g(x)A(u) 6=0. Our aim is not to give a physical interpretation of the solution of diffusion equations (that is too huge and cannot be reached in the scope of a short paper), but to list the already known exact solutions of equations from the class under consideration. However, in som...

norwegian university of science and technology trondheim, norway A globally convergent numerical method for a multidimensional Coefficient Inverse Problem for a hyperbolic equation is presented. The global convergence is analytically established. It is shown that this technique provides a good first guess for the adaptivity method, which entails to a synthesis of both approaches. Numerical resu...

A numerical method with the approximate global convergence property is developed for a 3-D Coefficient Inverse Problem for a hyperbolic PDE with the backscattering data. An important part of this technique is the quasi-reversibility method. Approximate global convergence theorem is proven. Results of two numerical experiments are presented.

Fabric defect detection algorithm based on local neighborhood is proposed to improve the accuracy and real-time of Fabric defect detection. A local neighborhood window moves over the entire inspection image. For homogeneity measurethe coefficient of variation is used. A defect-free region will generate a smaller value of Variation Coefficient than that of a defective region. To extract and segm...

Tan, Walls, and Collett propose an experiment involving a single photon incident on a half-silvered mirror which may be detected in either of two homodyne detectors, each including a local oscillator [1]. They conclude that the quantum prediction for the intensity correlation coefficient involving four photodetectors "may not be explained classically using a particle, wave, or hiddenvariables t...