Widely used for modeling biological fluids flows—in particular, blood vessel flows—a Casson flow is studied in a symmetric channel which the aspect ratio enables one to use lubrication approximation. Two driving conditions are prescribed: inlet–outlet pressure difference and peristaltic oscillations of walls. In both cases, starting from mass momentum balance using approximation, we investigate...

We give a simple explicit construction of pseudo-Anosov mapping classes using an improvement of the homological criterion of Casson–Bleiler.

In the present study, the effects of substituting sucrose with maltitol and xylitol as bulking agents in compound milk chocolate were examined in relation to their physico-chemical, rheological and sensory characteristics. Standard reference chocolate was made using sucrose. The Casson mathematical model was the best fitting model for predicting rheological properties. Compared with chocolate s...

We derive a simple closed formula for the SL2(C) Casson invariant for Seifert fibered homology 3-spheres using the correspondence between SL2(C) character varieties and moduli spaces of parabolic Higgs bundles of rank two. These results are then used to deduce the invariant for Dehn surgeries on twist knots by combining computations of the Culler-Shalen norms with the surgery formula for the SL...

The aim of current Paper is to examine the effect/result ‘heat source’ parameter over a wedge through porous-medium for electrically-conducting fluid flow magneto hydrodynamic Casson nanofluid with activation energy. influence/impact ‘second law’ analysis electrically conducting fluid(s) chemical-reaction also investigated. Dimension-less ordinary differential equations(ODE) are obtained/derive...

In this analysis, we considered a comparative study of micropolar Casson nanofluid flow on vertical nonlinear Riga stretching sheet. Effects thermal and velocity slip are under thermophoresis Brownian motions. Select PDEs transformed into coupled ODEs using the set suitable transformations. The solved through numerical technique along with Runge–Kutta 4th-order scheme. impacts pertinent paramet...

In 1914, the 1-dimensional case of the conjecture was proven in full generality by Caratheodory and Osgood-Taylor using elaborate methods from complex analysis. The 2-dimensional case was studied in the 1920s by Alexander who first circulated a manuscript claiming a proof but soon discovered a counterexample himself, the famous horned sphere. Later Alexander found an extra condition under which...