A. Casson defined an intersection number invariant which can be roughly thought of as the number of conjugacy classes of irreducible representations of π1(Y ) into SU(2) counted with signs, where Y is an oriented integral homology 3-sphere. X.S. Lin defined an similar invariant (signature of a knot) to a braid representative of a knot in S. In this paper, we give a natural generalization of the...

In his classification of the knot concordance groups, Levine [L1] defined the algebraic concordance groups, G±, of Witt classes of Seifert matrices and a homomorphism from the odd-dimensional knot concordance groups C4n±1 to G±. The homomorphism is induced by the function that assigns to a knot an associated Seifert matrix: it is an isomorphism on Ck, k ≥ 5; on C3 it is injective, onto an index...

The effect of the thermal radiation on MHD Casson fluid along with fractional derivative in an oscillating vertical plate is elucidated. More exactly, Caputo model utilized developing governing equations. Besides, influence buoyancy force due to temperature gradient has also been considered. derived partial differential equations are converted into ordinary by using Laplace transform technique ...

A mathematical model is developed to study the steady flow of Casson fluid through an inclined tube of non-uniform cross section with multiple stenoses. Using appropriate boundary conditions, analytical expressions for the velocity, the volumetric flow rate and the flow resistance have been derived. These expressions are computed numerically and the computational results are presented graphical...

In this article, we present a finite element method for studying the dynamic behavior of deformable vesicles, which mimic red blood cells, in non-Newtonian Casson fluid. The fluid membrane, represented by an implicit level-set function, adheres to Canham–Helfrich model and maintains surface inextensibility constraint through penalty. We propose two-step time integration scheme that incorporates...

Objectives: The present article investigates the steady flow of hydromagnetic Casson fluid past an inclined stretched sheet with existence nonlinear radiation and Joule heating effects. Methods: A numerical model is established then solved using BVP4c MATLAB technique. Findings: In this work we described about influence Grashof number, non-uniform heat source, Biot parameter, hydrodynamics, rad...