It is shown that the potential perturbation that shifts a chosen standing wave in space is a block of potential barrier and well for every wave bump between neighbouring knots. The algorithms shifting the range of the primary local-ization of a chosen bound state in a potential well of finite width are as well applicable to the scattering functions if states of the continuous spectrum are consi...

Isoscalar Cooper pairing in isospin asymmetric nuclear matter occurs between states populating two distinct Fermi-surfaces, each for neutrons and protons. The transition from a BCS-like to the normal (unpaired) state, as the isospin asymmetry is increased, is intervened by superconducting phases which spontaneously break translational and rotational symmetries. One possibility is the formation ...

This paper addresses practical aspects of the application of the backstepping method to the control of industrial processes. The limitations are emphased and solutions are proposed. The steady-state performances of the backstepping-based controllers are enhanced via the introduction of an integral action in the controller. In presence of non-zero mean perturbations, this modification guarantees...

An approximate model for a single fluid three-dimensional (3D) magnetohydrodynamic (MHD) equilibrium with pure isothermal toroidal flow with imposed nested magnetic flux surfaces is proposed. It recovers the rigorous toroidal rotation equilibrium description in the axisymmetric limit. The approximation is valid under conditions of nearly rigid or vanishing toroidal rotation in regions with sign...

The confining pressure P is perhaps the most important parameter controlling the properties of granular matter. Strongly compressed granular media are, in many respects, simple solids in which elastic perturbations travel as ordinary phonons. However, the speed of sound in granular aggregates continuously decreases as the confining pressure decreases, completely vanishing at the jamming-unjammi...

The main purpose of this work is to establish existence of a weak solution to the incompressible 2D Euler equations with initial vortic-ity consisting of a Radon measure with distinguished sign in H ?1 , compactly supported in the closed right-half-plane, superimposed to its odd reeection in the left-half-plane. We make use of a new a pri-ori estimate to control the interaction between positive...

We investigate the asymptotic behavior of a stochastic version of the forward-backward splitting algorithm for finding a zero of the sum of a maximally monotone set-valued operator and a cocoercive operator in Hilbert spaces. Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operat...