Towards the realization of a global coupled air/ocean/ice predictive system for Navy needs, two high resolution modeling efforts are underway whose goals are the development and upgrading of the ocean and sea ice components. A 0.1°, 40-level global configuration of the Los Alamos National Laboratory (LANL) Parallel Ocean Program (POP) integration is being performed on an IBM SP3; this is the fi...

in this paper, we prove some coupled coincidence point theorems for mappings with the mixedmonotone property and obtain the uniqueness of this coincidence point. then we providing useful examples in nash equilibrium.

The purpose of this paper is to present some coupled fixed point results on a metric space endowed with two $b$-metrics. We shall apply a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces endowed with directed graphs. Data dependence, well-posedness and Ulam-Hyers stability are also studied. The results obtained here will be applied to prove the existe...

We consider the existence of bound states for the coupled elliptic system ∆u1 − λ1u1 + μ1u 3 1 + βu 2 2u1 = 0 in R n , ∆u2 − λ2u2 + μ2u 3 2 + βu 2 1u2 = 0 in R n , u1 > 0, u2 > 0, u1, u2 ∈ H (R). where n ≤ 3. Using the fixed point index in cones we prove the existence of a five-dimensional continuum C ⊂ R5+ × H (R) × H(R) of solutions (λ1, λ2, μ1, μ2, β, u1, u2) bifurcating from the set of semi...

In this paper, a strongly nonlinear coupled elliptic-parabolic system modelling a class of engineering problems with heat effect is studied. Existence of a weak solution is first established by Schauder fixed point theorem, where the coupled functions σ(s), k(s) are assumed to be bounded. The uniqueness of the solution is obtained by applying Meyers’ theorem and assuming that σ(s), k(s) are Lip...

Starting from ab initio electronic structure results we study dynamics of potassium ions in the pyrochlore superconductor KOs2O6. An effective ionic Hamiltonian characterized by an on-site instability rattler and frustrated nearest-neighbor interaction is derived and various approximations are investigated. We show that qualitative differences in the properties of KOs2O6 and its analogs RbOs2O6...

In present study, a mathematical model of the vehicle–floating slab track (FST) interaction is established to investigate the coupled behaviour of vehicle–track system. The FST is modelled as the double Euler -Bernoulli beam including the rail and slab. The railway vehicle is simplified as a multi-rigid-body model. The wheel–rail interface is treated using a nonlinear Hertzian contact model, co...