Abstract The profile, radius, and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii–Moriya (DM) interaction easy-axis anisotropy perpendicular to film, have been previously calculated asymptotic limits small large skyrmion as functions model parameter. We extend analysis case an external field or a combination field. formulae for radius are then modified, by use fi...

Persistence of spatial analyticity is studied for solution the beam equation utt+(m+Δ2)u+|u|p−1u=0 on Rn×R. In particular, a class analytic initial data with uniform radius σ0, we obtain an asymptotic lower bound σ(t)⩾c/t σ(t) u(⋅,t), as t→∞.

We present an analytical model for describing highly relativistic acceleration of magnetically driven jets, within the framework of ideal MHD for cold, stationary and axisymmetric outflows. Our novel procedure is to treat the wind equation as an algebraic relation between the relativistic Alfvén Mach-number and the poloidal electric to toroidal magnetic field amplitudes ratio ξ. This allows us ...

In thermoacoustic scattering the scattered field consists of a propagating acoustic wave together with a non-progagational “thermal” wave of much shorter wavelength. Although the scattered field may be obtained from a Rayleigh expansion, in cases where the particle radius is small compared with the acoustic wave length, these solutions are ill-conditioned. For this reason asymptotic or perturba...

Various properties of the Misner-Sharp spherically symmetric gravitational energy E are derived, and known properties reviewed. In the Newtonian limit, E yields the Newtonian mass to leading order and the Newtonian kinetic and potential energy to the next order. In vacuo, E reduces to the Schwarzschild parameter. At null and spatial infinity, E reduces to the Bondi-Sachs and Arnowitt-Deser-Misn...

The paper [40] establishes an asymptotic representation for random convex polytope geometry in the unit ball Bd, d ≥ 2, in terms of the general theory of stabilizing functionals of Poisson point processes as well as in terms of the so-called generalized paraboloid growth process. This paper further exploits this connection, introducing also a dual object termed the paraboloid hull process. Via ...

The complexity of nearest-neighbor search dominates the asymptotic running time of many sampling-based motion-planning algorithms. However, collision detection is often considered to be the computational bottleneck in practice. Examining various asymptotically optimal planning algorithms, we characterize settings, which we call NNsensitive, in which the practical computational role of nearest-n...

Let AR,q denote a family of covering codes, in which the covering radius R and the size q of the underlying Galois field are fixed, while the code length tends to infinity. The construction of families with small asymptotic covering densities is a classical problem in the area Covering Codes. In this paper, infinite sets of families AR,q, where R is fixed but q ranges over an infinite set of pr...

Generalizing MSE-optimality on 1/ √ n -shrinking neighborhoods of contamination type, we determine the robust in uence curve that minimizes maximum asymptotic risk, where risk may be any convex and isotone function G of L2 and L∞ -norms. The solutions necessarily minimize the trace of the covariance subject to an upper bound on the sup-norm, and also include an implicit equation for the optimal...

here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.