For a rather general class of equations of Kadomtsev-Petviashvili (KP) type, we prove that the zero-mass (in x) constraint is satisfied at any non zero time even if it is not satisfied at initial time zero. Our results are based on a precise analysis of the fundamental solution of the linear part and its anti x-derivative.

A stochastic multi-user multi-armed bandit framework is used to develop algorithms for uncoordinated spectrum access. In contrast prior work, it assumed that rewards can be non-zero even under collisions, thus allowing the number of users greater than channels. The proposed algorithm consists an estimation phase and allocation phase. It shown if every user adopts algorithm, system wide regret o...

Noncollocated sensors and actuators, and/or fast sample rates with plants having high relative degree, can lead to nonminimumphase (NMP) discrete-time zero dynamics that complicate the control system design. In this paper, we examine three stable approximate model-inverse feedforward control techniques, the nonminimum-phase zeros ignore (NPZ-Ignore), the zero-phaseerror tracking controller (ZPE...

Small planktonic organisms ubiquitously display unsteady or impulsive motion to attack a prey or escape a predator in natural environments. Despite this, the role of unsteady forces such as history and added mass forces on the low-Reynolds-number propulsion of small organisms, e.g. Paramecium, is poorly understood. In this paper, we derive the fundamental equation of motion for an organism swim...

Nieh-Yan anomaly describes the non-conservation of chiral charges induced by coupling between Dirac fermions and torsion fields. Since field is beyond general relativity, this effect remains hypothetical its relevance to our universe unclear in context high-energy physics. In work, we propose that phonons can induce a for Kramers-Weyl through electron-phonon interaction non-magnetic crystal, th...

This study analyzes a stochastic lead time inventory model under the assumptions that (a) replenishment orders do not cross in time and (b) the lead time distribution for a given order is independent of the number and sizes of outstanding orders. The study extends the existing literature on the finitehorizon version of the model and yields an intuitively appealing dynamic program that is nearly...

The zero-temperature physics of interacting quantum dots attached to superconducting leads is now well understood. overall qualitative picture obtained from the static mean-field approximation. situation drastically changes at non-zero temperatures. No reliable solutions apart numerical simulations exist there. We show that any approximation fails temperatures since magnetic fluctuations induce...

Quantum transport in disordered systems is studied using a polaron-based master equation. The polaron approach is capable of bridging the results from the coherent band-like transport regime governed by the Redfield equation to incoherent hopping transport in the classical regime. A non-monotonic dependence of the diffusion coefficient is observed both as a function of temperature and system-ph...