Abstract We probe the quantum speed limit (QSL) of an electron when it is trapped in a non-uniform magnetic field. show that QSL increases to large value, but within regime causality, by choosing proper variation fields. also dependence on spin and find higher for spin-down relativistic regime. This can be useful achieving faster transmission information. Further, we use Bremermann–Bekenstein b...

<p style="text-indent:20px;">This paper is concerned with the vanishing viscosity limit for incompressible MHD system without magnetic diffusion effect in half space under influence of a transverse field on boundary. We prove that solution to uniformly bounded both conormal Sobolev norm and <inline-formula><tex-math id="M1">\begin{document}$ L^\infty $\end{document}</tex-ma...

We asymptotically analyse the volume-random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most of the limit laws are Gaussian.

Evolution équations featuring nonlmeanty, dispersion and dissipation are considered hère For classes of such équations that mclude the Korteweg-de Vries-Burgers équation and the BBMBurgers équation, the zero dissipation limit is studied Uniform bounds independent of the dissipation coefficient are denved and zero dissipation limit results with optimal convergence rates are established Mathemati...

The dynamics of the composition of uniform Bose condensates involving two species capable of reciprocal interconversion is treated in terms of a collective quasi-spin model. This collective model quickly reduces to classical form towards the thermodynamic limit. Quantum solutions are easily obtained numerically short of this limit which give insight into the dynamically relevant correlation pro...

In the free boundary problem of Stokes flow driven by surface tension, we pass to the limit of small layer thickness. It is rigorously shown that in this limit the evolution is given by the well-known thin film equation. The main techniques are appropriate scaling and uniform energy estimates in Sobolev spaces of sufficiently high order, based on parabolicity.