are called stationary Stokes equations, where u : Ω→ R denotes the velocity of the uid, p : Ω→ R denotes the pressure and f : Ω → R is the density of forces acting on the uid (e.g. gravitational force). The Stokes equations govern a ow of a steady, viscous, incompresible uid. We note that (1) is called the momentum equation and (2) is called the incompressibility equation. We supplement the sys...

We employ a new second-order extension of the Lax±Friedrichs scheme, with incompressibility imposed by means of a projection algorithm, to follow the evolution of the vorticity and stress fields for a Maxwell fluid in a two-dimensional periodic system initialized with two thin and concentrated shear layers. The scheme is simple, efficient, and robust, and is capable, in particular, of resolving...

A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volumeand surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian ...

The linearized treatment of the flow over a partially cavitating single hydrofoil having a flat pressure surface and a circular-arc suction side is presented. The flow is treated as a two-dimensional, steady, inviscid flow. Further assumptions made are those of incompressibility and irrotationality. The results obtained are compared with experiment and generally good correlation is found for th...

The presence of even a small amount of surfactant at the particle-laden fluid interface subjected to shear makes surface flow incompressible if the shear rate is small enough [T. M. Fischer et al., J. Fluid Mech. 558, 451 (2006)]. In the present paper the effective surface shear viscosity of a flat, low-concentration, particle-laden incompressible interface separating two immiscible fluids is c...

We present a novel method for lossless data compression that aims to get a different performance to those proposed in the last decades to tackle the underlying volume of data of the Information and Multimedia Ages. These latter methods are called entropic or classic because they are based on the Classic Information Theory of Claude E. Shannon and include Huffman [8], Arithmetic [14], Lempel-Ziv...

This talk centers around some audacious conjectures that attempt to forge firm links between computational complexity classes and the study of Kolmogorov complexity. More specifically, let R denote the set of Kolmogorov-random strings. Let BPP denote the class of problems that can be solved with negligible error by probabilistic polynomial-time computations, and let NEXP denote the class of pro...

Since the experimental realization of the integer quantum Hall effect in a two-dimensional electron system, the interrelation between the conductance quantization and the topological properties of the system has been investigated. Assuming that the two-dimensional electron system is described by a Bloch Hamiltonian, system is insulating in the bulk of sample throughout the quantum Hall plateau ...

We prove that the product of an arbitrary projective homogeneous variety Y by an orthogonal, symplectic, or unitary Grassmannian X is 2-incompressible if and only if the varieties XF (Y ) and YF (X) are so. Some new properties of incompressible Grassmannians are established on the way.

The role of effective hadron masses and effective couplings in nuclear matter is studied using a generalized effective Lagrangian for σ-ω model. A simple relation among the effective masses, the effective couplings and the incompressibility K is derived. Using the relation, it is found that the effective repulsive and the effective attractive forces are almost canceled to each other at the norm...