Two Dimensional (2d) Experimental of Piling up Behind Submerged Break Water

Piling Up, or Floating Away

Piling-up Lemma for Markov Chains

Break-up of two-dimensional bright spatial solitons due to transverse modulation instability

– We present the theory and the experimental observation of break-up of twodimensional bright spatial solitons propagating in a three-dimensional bulk photorefractive nonlinear medium due to transverse modulation instability. Solitary wave (self-bound) solutions of nonlinear propagation equations are a fascinating topic of nonlinear dynamics. The analysis of their stability and nonlinear evolut...

Spiral wave break-up and planar front formation in two-dimensional reactive-diffusive media with straining

The propagation of spiral waves in two-dimensional reactive–diffusive media subject to a velocity field with straining is studied numerically. It is shown that, depending on the magnitude of the strain rate, the effects of straining on wave propagation can be classified in three regimes: the no break-up, the transitional and the break-up regimes. In the no break-up regime, the spiral wave prese...

Piling Up Pillar[5]arenes To Self-Assemble Nanotubes.

New liquid-crystalline pillar[5]arene derivatives have been prepared by grafting first-generation Percec-type poly(benzylether) dendrons onto the macrocyclic scaffold. The molecules adopt a disc-shaped structure perfectly suited for self-organization into a columnar liquid-crystalline phase. In this way, the pillar[5]arene cores are piled up, thus forming a nanotubular wire encased within a she...