In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain space-time regularity of the corresponding free boundary.

The effect of σ-modification on the parameter convergence and stability properties of two different adaptive laws is analyzed. It is shown that σ-modification does not alter the ideal convergence properties of the adaptive ...

A rotating vane-cup rheometer is used to determine the rheological properties of semi-solid slurries, and a procedure is established for characterizing the rheology with emphasis given to the proper and self-consistent ...

We consider fourth order singularly perturbed problems in one-dimension and the approximation of their solution by the h version of the finite element method. In particular, we use piecewise Hermite polynomials of degree ...

The integer autoregressive model of order p can be employed for the analysis of discrete-valued time series data. It can be shown, under some conditions, that its correlation structure is identical to that of the usual ...

The mean square tracking error criterion and the L∞ tracking error bound criterion are used to assess the performance of a standard robust model reference adaptive control schemes in ideal and nonideal situations. Controller ...

We extend our recent work on the creeping flow of a Bingham fluid in a lid-driven cavity, to the study of inertial effects, using a finite volume method and the Papanastasiou regularisation of the Bingham constitutive model ...

In an overparametrized model reference adaptive control system, the measured signal (t) cannot be persistently exciting (PE) for any bounded reference input r(t). The controller parameter vector for model-plant transfer ...

The isothermal, planar Poiseuille flow of a weakly compressible Oldroyd-B fluid is considered under the assumption that the density of the fluid obeys a linear equation of state. A perturbation analysis for all the primary ...