Abstract We obtain linear elasticity as $$\Gamma $$ Γ -limit of finite under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class energy densities rubber-like materials.

We prove that a torus transverse to an Axiom A vector field that does not exhibit sinks, sources or null homotopic periodic orbits on a closed irreducible 3-manifold is incompressible. This strengthens the works of Brunella (1993), Fenley (1995), and Mosher (1992).

In this paper, the Hartree-Fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. The bare coulomb interaction between electrons has been assumed. For this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibil...

We use the incompressibility method based on Kolmogorov complexity to determine the total number of bits of routing information for almost all network topologies. In most models for routing, for almost all labeled graphs Θ(n) bits are necessary and sufficient for shortest path routing. By ‘almost all graphs’ we mean the Kolmogorov random graphs which constitute a fraction of 1− 1/nc of all grap...