We study the scattering theory for the coupled Maxwell-Schrödinger equation under the Coulomb gauge condition in three space dimensions. This equation belongs to the borderline between the short range case and the long range one. We construct modified wave operators for that equation for small scattered states with no restriction on the support of the Fourier transform of them.

In this article, we employ a modified Prüfer substitution acting on a coupled system involving one-dimensional p-Laplacian equations. The basic properties for the initial valued problem and some estimates are obtained. We also derive an analogous Sturmian theory and give a reconstruction formula for the potential function.

differences between stress-based and strain-based criteria are investigated in seismic performance evaluation of the arch dams in time domain. a numerical model of the coupled dam-reservoir-foundation system is prepared with the finite element technique. reservoir is modeled using the eulerian approach as a compressible domain, and the foundation rock is assumed to be massless. dynamic equilibr...

We discuss a toy model for an emergent non-relativistic gravitational theory. Within a certain class of Bose–Einstein condensates, it is possible to show that, in a suitable regime, a modified version of non-relativistic Newtonian gravity does effectively describes the low energy dynamics of the coupled system condensate/quasi-particles.

Quantum monodromy matrices coming from a theory of two coupled (m)KdV equations are modified in order to satisfy the usual Yang-Baxter relation. As a consequence, a general connection between braided and unbraided (usual) Yang-Baxter algebras is derived and also analysed.

It appears that string-M-theory is the only viable candidate for a complete theory of matter. It must therefore contain both gravity and QCD. What is particularly surprising is the recent conjecture that strongly coupled QCD matrix elements can be evaluated though a duality with weakly coupled gravity. To date there has been no direct verification of this conjecture by Maldacena because of the ...

According to Monteith’s theory, crop biomass is linearly correlated with the amount of absorbed photosynthetically active radiation (APAR) and a constant radiation use efficiency (RUE) down-regulated by stress factors such as CO2 fertilisation, temperature and water stress. The objective was to investigate the relative importance of these stress factors in relation to regional biomass productio...