The interaction of the asymmetrical screw flows for the Bryan-Pidduck model
Journal Title: Математичні Студії - Year 2018, Vol 50, Issue 2
Abstract
Some approximate solutions of the Boltzmann equation for a model of rough spheres are constructed. Several sufficient conditions which minimize the uniform-integral error between parts of the Bryan-Pidduck equation are obtained.
Authors and Affiliations
V. D. Gordevskyy, O. O. Hukalov
Frechet distance between weighted rooted trees
The aim of this note is to extend the notion of Frechet distance over the set of weighted rooted trees. The weighted trees naturally appear as skeletons of planar domains. The defined distance allows for defining a dista...
On convergence of random multiple Dirichlet series
Let Fω(s)=∑∞∥n∥=0f(n)(ω)exp{(λ(n),s)},\ where the exponents λ(n)=(λ(1)n1,…,λ(p)np)∈Rp+, (n)=(n1,…,np)∈Zp+, p∈N, ∥n∥=n1+…+np, and the coefficients f(n)(ω) are pairwise independent random complex variables. In the paper, i...
Visco-plastic, newtonian, and dilatant fluids: Stokes equations with variable exponent of nonlinearity
Some nonlinear Stokes equations with variable exponent of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence of the weak and very weak solutions for...
Progress in the open problems in theory of functions of bounded index
We give overview of solved problems in theory of functions of bounded index from the paper Bandura, A.I., Skaskiv, O.B.: Open problems for entire functions of bounded index in direction. Mat. Stud. 43(1), 103–109 (2015)....
Quantitative version of the Bishop-Phelps-Bollobas theorem for operators with values in a space with the property β
The Bishop-Phelps-Bollobas property for operators deals with simultaneous approximation of an operator T and a vector x at which T:X→Y nearly attains its norm by an operator F and a vector z, respectively, such that F at...