We study the existence of global-in-time weak solutions to a coupled microscopicmacroscopic bead-spring model with microscopic cut-off, which arises from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The model consists of the unsteady incompressible Navier–Stokes equations in a bounded domain Ω ⊂ Rd, d = 2 or 3, for the velocity and the pressure...

In a domain with cut static boundary-value problems of piezoelectricity are investigated. The existence and uniqueness of solutions of the considered boundary value problems are proved and an asymptotic expansion of solutions near the edges of the cut are obtained. Let Ω and Ω1 (Ω1 ⊂ Ω) be a bounded domains in the three-dimensional Euclidean space R with infinitely smooth boundaries ∂Ω and ∂Ω1,...

This paper considers a biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) $L-R$, or flat (semi) $L-R$ fuzzy numbers. First, we convert the problem to a parametric interval biobjective transportation problem using $gamma$-cuts of fuzzy coefficients. Then, we consider a fix $g...

A maximum principle is proved for the weak solutions uALNðR TÞ of the telegraph equation in space dimension three utt Dxu þ cut þ lu 1⁄4 f ðt; xÞ; when c40; lAð0; c=4 and fALNðR TÞ (Theorem 1). The result is extended to a solution and a forcing belonging to a suitable space of bounded measures (Theorem 2). Those results provide a method of upper and lower solutions for the semilinear equation u...

the postharvest vase life of cut roses was studied to determine the effects of various physiological factors that influence the vase life of cut flower. cut roses were obtained from commercial area of siliguri. to assess the effect of preservatives on the postharvest life of rose, cut flowers were treated with following preservative solutions: fixed amount of citric acid (ca) (300 mg/ml) and 8-...

The postharvest vase life of cut roses was studied to determine the effects of various physiological factors that influence the vase life of cut flower. Cut roses were obtained from commercial area of Siliguri. To assess the effect of preservatives on the postharvest life of rose, cut flowers were treated with following preservative solutions: fixed amount of citric acid (CA) (300 mg/ml) and 8-...

The Bounded Diameter Minimum Spanning Tree problem (BDMST) and the Hop Constrained Minimum Spanning Tree problems (HCMST) are NP-hard combinatorial optimization problems which have their main application in network design. In this thesis an existing relax-and-cut approach for finding lower bounds and approximate solutions to those problems is enhanced and extended, and a hybrid algorithm based ...

In recent years graph cuts have become a popular tool for performing inference in Markov and Conditional Random Fields. In this context the question arises as to whether it might be possible to compute a measure of uncertainty associated with the graph-cut solutions. In this paper we answer this particular question by showing how the min-marginals associated with the label assignments of a rand...

We employ the Airy stress function to derive analytical solutions for plane strain static deformations of a functionally graded (FG) hollow circular cylinder with Young’s modulus E and Poisson’s ratio v taken to be functions of the radius r . For E1 and v1 power law functions of r , and for E1 an exponential but v1 an affine function of r , we derive explicit expressions for stresses and displa...