The limit problem with a specific weak form of the Reynolds equation, the uniqueness of the limit velocity and pressure are given in Section 4.
If this assumption does not hold, we argue that the regularized solutions may not converge to a solution of the limit problem with a Heaviside firing function.
As we will see in subsequent sections it depends on v's threshold properties whether we can prove that v actually solves the limit problem with a Heaviside firing rate function.
To overcome the lifetime-limiting problems with the organic hole transporters, HTM-free perovskite photovoltaics were proposed and reported by Etgar et al. [9].
A framework comprising a synergy of real-time dynamic thermal rating (DTR) and coordinated voltage control (CVC) is proposed for solving the voltage quality and thermal limit problems associated with a high penetration level of distributed generation (DG) in an active distribution network.
where Up,μ(x)=Up,μ(|x|) is the unique radial solution of the limiting problem with U p, μ ( 1 ) = ( N − t ) N − p 1 p ∗ ( t ) − p. Open image in new window.
This follows in a standard way by contradiction for otherwise there would exist a sequence of potentials converging uniformly to a (c) -convex potential of a limiting problem with densities bounded away from (0) and (infty ) which would not be strictly (c -convex at (x_0), thereby c -convexting the strict convexity atsertions in [4] and [24].
Up to now, most of MPS applications have been limited to problems with compressive stress states.
Although the gradient optimization methods are highly developed and succeeded in solving different problems, they are limited to problems with convex, continuous objective functions where the gradient information is known.
Although recent studies reported that transplantation of stem cells from various tissues, including bone marrow and periodontal ligaments, had positive effects on periodontal regeneration, these techniques are limited by problems with stem cell isolation and availability.
