Visco-plastic, newtonian, and dilatant fluids: Stokes equations with variable exponent of nonlinearity

Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 2

Abstract

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 the problem is proved.

Authors and Affiliations

O. M. Buhrii

Keywords

Related Articles

Homomorphisms between rings with infinitesimals and infinitesimal comparisons

We examine an argument of Reeder suggesting that the nilpotent infinitesimals in Paolo Giordano's ring extension of the real numbers ∙R are smaller than any infinitesimal hyperreal number of Abraham Robinson's nonstandar...

Growth of p-th means of the Poisson-Stieltjes integrals in polydisc

We prove a sharp upper estimate of the pth means of the Poisson-Stieltjes integrals in the unit polydisc for p>1. The estimate is given in terms of the smoothness of a complex-valued Stieltjes measure μ. If the measure μ...

The algebra of symmetric polynomials on (L∞)n

The paper deals with continuous symmetric (invariant under composition of the variable with any measure preserving bijection of [0,1]) complex-valued polynomials on the nth Cartesian power of the complex Banach space L∞...

Uniqueness of solution for the inverse problem of finding two minor coefficients in a semilinear time fractional telegraph equation

We find sufficient conditions of the uniqueness of a solution for the inverse problem of determining two continuous minor coefficients in a semilinear time fractional telegraph equation under two integral overdeterminati...

Analytic functions in the unit ball of bounded value L-distribution in a direction

We present a generalization of concept of bounded value L-distribution in direction b∈Cn∖{0} for analytic functions in the unit ball Bn⊂Cn, where L:Bn→R+ is a continuous function. It is established a connection between t...

Download PDF file
  • EP ID EP411800
  • DOI 10.15330/ms.49.2.165-180
  • Views 48
  • Downloads 0

How To Cite

O. M. Buhrii (2018). Visco-plastic, newtonian, and dilatant fluids: Stokes equations with variable exponent of nonlinearity. Математичні Студії, 49(2), 165-180. https://europub.co.uk/articles/-A-411800