This paper provide some property of Incompressible String and the new construction of hash function.

We show two sets of results applying the theory of extractors to resource-bounded Kolmogorov complexity: Most strings in easy sets have nearly optimal polynomial-time CD complexity. This extends work of Sipser Sip83] and Buhrman and Fortnow BF97]. We use extractors to extract the randomness of strings. In particular we show how to get from an arbitrary string, an incompressible string which enc...

The conservation laws of continuum mechanics, written in an Eulerian frame, do not distinguish fluids and solids, except in the expression of the stress tensors, usually with Newton’s hypothesis for the fluids and Helmholtz potentials of energy for hyperelastic solids. By taking the velocities as unknown monolithic methods for fluid structure interactions (FSI) are built. In this article such a...

Turbulence in an incompressible fluid with and without a magnetic field as well as moderately compressible MHD turbulence are compared. The results of three numerical simulation models in three dimensions of resolution up to 512 are used for this purpose. The compatibility of the spectra of all three models with the Kolmogorov spectrum is confirmed. For the magnetohydrodynamic (MHD) models the ...

In this paper, we discuss the numerical solutions of the incompressible material problems on a polygon using a semi-discrete method [HH99]. After a suitable transformation of the coordinates, the original boundary value problem (BVP) is reduced to a discontinuous coefficients problem on a rectangle, which is semi-discreted to a BVP of a system of ordinary differential equations (O.D.E’s). After...

Interaction of incompressible and compressible MHD fluctuations on a one-dimensional plasma inhomogeneity, transverse to the magnetic field, is considered in the three-dimensional regime. An initially incompressible (Alfvénic) MHD fluctuation generates, by linear coupling, compressible (magnetoacoustic) fluctuations. In the initial stage of the interaction, the efficiency of the coupling is enh...

In this paper we introduce the (I, J) similar method for incompressible two-dimensional Euler equations, and obtain a series of explicit (I, J) similar solutions to the incompressible two-dimensional Euler equations. These solutions include all of the twin wave solutions, some new singularity solutions, and some global smooth solutions with a finite energy. We also reveal that the twin wave sol...