Starting from a bound state (positive or sign-changing) solution to −∆ωm = |ωm|p−1ωm − ωm in R, ωm ∈ H(R) and solutions to the Helmholtz equation ∆u0 + λu0 = 0 in R, λ > 0, we build new Dancer’s type entire solutions to the nonlinear scalar equation −∆u = |u|p−1u − u in R.

The usual path integral formulation for scalar particles at finite density involves a sign problem, making numerical simulation impractical. We present alternative methods free of this difficulty. We apply these approaches to |φ | 4 theory in 2 + 1 dimensions, presenting preliminary numerical results for physical quantities in the vicinity of the phase transition in the T − µ plane.

Full simulations of homogeneous isotropic turbulence containing a homogeneous passive scalar were made at low Reynolds numbers and various Prandtl numbers. The results show that the spectral behavior of the two fields are quite similar; both fields decay as power-law functions of time. However. the decay exponent is quite dependent on both the Reynolds and Prandtl numbers. The decay exponent of...

This paper provides new results about efficient arithmetic on (extended) Jacobiquartic form elliptic curves y = dx + 2ax + 1. Recent works have shown thatarithmetic on an elliptic curve in Jacobi quartic form can be performed solidly fasterthan the corresponding operations in Weierstrass form. These proposals use up to 7coordinates to represent a single point. However, fast scal...

Abstract We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection (parallel) skew-torsion. provide result for sign first variation in terms corresponding scalar curvature. This generalizes M. Ville [15] related on manifold.