We study semilinear wave equations with Ginzburg-Landau type nonlinearities multiplied by a factor ε, where ε > 0 is a small parameter. We prove that for suitable initial data, solutions exhibit energy concentration sets that evolve approximately via the equation for timelike Minkowski minimal surfaces, as long as the minimal surface remains smooth. This gives a proof of predictions made, on th...

Traditional medicine scientists believed that sleeping under the stars and moonlight is not healthy because it brings about nose bleeds and respiratory problems. In Avicenna's view, the spirit and its tendency to the light are introduced as main etiology, which cannot explain star light as a proper etiology. In modern knowledge, it seems cosmic rays that reach our planet's atmosphere by electro...

The supporting worldsheet of a string, membrane, or other higher dimensional brane, is analysed in terms of its first, second, and third fundamental tensors, and its inner and outer curvature tensors. The dynamical equations governing the models appropriate for phenomena such as (superconducting) cosmic strings and cosmic domain walls are developed in a general framework (allowing for both elec...

We put constraints on the normalized energy density in gravitational waves from cosmic domain walls by searching for stochastic gravitational-wave background data of Advanced LIGO and Virgo's first three observing runs. By adopting a phenomenological broken power-law model, we obtain upper limit amplitude generated peak frequency band 10--200 Hz get most stringent limitation ${\mathrm{\ensurema...

Radio halos require the coexistence of extra-planar cosmic rays and magnetic fields. Because cosmic rays are injected and accelerated by processes related to star formation in the disk, they have to be transported from the disk into the halo. A vertical large-scale magnetic field can significantly enhance this transport. We observed NGC 253 using radio continuum polarimetry with the Effelsberg ...

the dependence of the lateral distribution of cherenkov light in simulated extensive air showers to the energy and the mass of the primary cosmic rays has been studied. it has been shown that a previous claim about mass independent proportionality of shower energy to the total cherenkov photon number is not valid in energies below eeas ~ 1014 ev. we have found that the core distance of the so c...

We propose a novel and simple method of computing the volume of the moduli space of BPS solitons in supersymmetric gauge theory. We use a D-brane realization of vortices and T-duality relation to domain walls. We there use a special limit where domain walls reduce to gas of hard (soft) one-dimensional rods for the Abelian (non-Abelian) cases. In the simpler cases of the Abelian-Higgs model on a...

The NANOGrav Collaboration recently reported a strong evidence for stochastic common-spectrum process in the pulsar-timing data. We evaluate of interpreting this as mergers super massive black hole binaries and/or various gravitational-wave background sources early Universe, including first-order phase transitions, cosmic strings, domain walls, and large amplitude curvature perturbations. discu...