The influence of the Coriolis force on the peculiarities of the formation and propagation of forced sea waves is studied. The generation of long waves by a focused monochromatic source is observed. Two cases — the low frequency and high frequency waves are investigated.
The interaction of a pair a cyclone — an anticyclone with a sea shore is considered. The equations of dynamics of vertical pair conservation and laws of preservation are received. On their basis the features of movement of vortices and limiting regimes are investigated.
Explicit solutions of the Schrödinger matrix equation are received and performed the calculations of the main invariants. It is established that the characteristic equation in all cases has only 2 roots, one is a simple and second is multiple.
The new theorem which generalizing the theorems of a straight line and a circle is formulated and proved.With their help complex potentials of filtration flows in the two — component media filling angle area are received.
In this paper we study the backaction of measuring tunneling current through double quantum dot on it’s dynamics. We propose a new method for evaluating of measured current operator. Results are demonstrated as a graph representing measured stationary current through double quantum dot as a function of detection performance. It is shown that increasing of detection performance leads to quick decreasing of current through double quantum dot, which is consistent with quantum Zeno effect.
We show that it is possible to use the exulton-like solutions of the nonlinear Schrődinger equation to simulation of the evolution of frontal vortical zone of an intrathermocline eddies in the process of its collapse.
An interesting connection between Einstein-Friedmann equations for the models of universe filled with scalar field and the special form of Abel equation of the first kind is presented. In particular, it is shown how, knowing the general solution of the Abel equation (corresponding to the given scalar field potential) one can obtain the general solution of the Friedmann Equation.