In this paper the feasibility study of an IR sensor card is presented. The methodology and the results of a quasi real-time thermal characterization tool and method for the temperature mapping of circuits and boards based on sensing the infrared radiation is introduced. With the proposed method the IR radiation-distribution of boards from the close proximity of the sensor card is monitored in q...

We continue to study a simple integro-differential equation: the Quasi-Steady equation (QS) of flame front dynamics. This second order quasi-linear parabolic equation with a non-local term is dynamically similar to the Kuramoto-Sivashinsky (KS) equation. In [FGS03], where it was introduced, its well-posedness and proximity for finite time intervals to the KS equation in Sobolev spaces of period...

We show that smooth varieties of general type which are well formed weighted complete intersections Cartier divisors have maximal Hodge level, is, their the rightmost middle numbers do not vanish. this does hold in quasi-smooth case.

We consider surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove global existence of smooth solutions given sufficiently smooth initial data. This is done using a maximum principle for the solutions involving conservation of a certain family of moduli of continuity.

It is considered a smooth projective morphism p : T ! S to a smooth variety S. It is proved, in particular, the following result. The total direct image Rp (Z=nZ) of the constant etale sheaf Z=nZis locally for Zarisky topology quasi-isomorphic to a bounded complex L on S consisting of locally constant constructible etale Z=nZ-module sheaves.

The popular BFGS quasi-Newton minimization algorithm under reasonable conditions converges globally on smooth convex functions. This result was proved by Powell in 1976: we consider its implications for functions that are not smooth. In particular, an analogous convergence result holds for functions, like the Euclidean norm, that are nonsmooth at the minimizer.

We show that the quasi-stationary two-phase Stefan problem with surface tension has a unique smooth local solution. In addition we show that smooth solutions exist globally, provided that the initial interface is close to a sphere and no heat is supplied or withdrawn.

For a function f that is piecewise analytic on quasi-smooth arc $$\mathcal {L}$$ and any $$0<\sigma <1$$ we construct sequence of polynomials converge at rate $$e^{-n^{\sigma }}$$ each point analyticity are close to the best polynomial approximants whole . Moreover, give examples when such can be constructed for $$\sigma =1$$