Let S be a compact complex surface of general type, Smin its minimal model gotten by contracting the finite number of (−1)-curves. It is a smooth surface with nef canonical line bundle KSmin . It then can be shown that Smin has at most b2 curves on which the canonical line bundleKSmin restricts to a non-ample bundle (i.e. whose intersection number with KSmin is non positive). These are (−2) smo...

We exploit recent results on the stability and performance analysis of positive Markov jump linear systems (MJLS) for the design of interval observers for MJLS with and without delays. While the conditions for the L1 performance are necessary and sufficient, those for the L∞ performance are only sufficient. All the conditions are stated as linear programs that can be solved very efficiently. Tw...

We analyse properties of the mass outflow from Roche-lobe filling component a semi-detached binary system. follow approaches published by Paczy\'nski \& Sienkiewicz and Lubow Shu, which we compare with other simplified approaches. find that density flow at $L_1$ is orders magnitude lower than on same equipotential but away $L_1$. Furthermore, effective cross section flow, after averaging over i...

Let $\mathscr{C}_n=\{-1,1\}^n$ be the discrete hypercube equipped with uniform probability measure $\sigma_n$. Talagrand's influence inequality (1994) asserts that there exists $C\in(0,\infty)$ such for every $n\in\mathbb{N}$, function $f:\mathscr{C}_n\to\mathbb{C}$ satisfies $$\mathrm{Var}_{\sigma_n}(f) \leq C \sum_{i=1}^n \frac{\|\partial_if\|_{L_2(\sigma_n)}^2}{1+\log\big(\|\partial_if\|_{L_...

In this paper a transient free convection flow around a sphere with variable surface temperature and embedded in a porous medium has been considered. The temperature of the sphere is suddenly raised and subsequently maintained at values that varies with position on surface. The method of asymptotic expansions is applied for small Rayleigh numbers and then a finite-difference scheme is used to s...

Biconservative submanifolds, with important role in mathematical physics and differential geometry, arise as the conservative stress-energy tensor associated to variational problem of biharmonic submanifolds. Many examples biconservative hypersurfaces have constant mean curvature. A famous conjecture Bang-Yen Chen on Euclidean spaces says that everybiharmonic submanifold has null Inspired by co...