Results 21 to 30 of about 200 (51)
Analysis of a model for the dynamics of microswimmer suspensions [PDF]
, 2020 In this paper, a model that was recently derived in Reinken et al. [11] to describe the dynamics of microswimmer suspensions is studied. In particular, the global existence of weak solutions, their weak-strong uniqueness and a connection to a different model that was proposed in Wensink et al. [18] is shown.
arxiv +1 more source
An elementary proof of uniqueness of the particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids [PDF]
, 2012 We prove some regularity results for a class of two dimensional non-Newtonian fluids. By applying results from [Dashti and Robinson, Nonlinearity, 22 (2009), 735-746] we can then show uniqueness of particle trajectories.
arxiv +1 more source
Two-phase flow problem coupled with mean curvature flow [PDF]
Interfaces and Free Boundaries 14, (2012) no. 2, 185-203, 2011 We prove the existence of generalized solution for incompressible and viscous non-Newtonian two-phase fluid flow for spatial dimension 2 and 3. The phase boundary moves along with the fluid flow plus its mean curvature while exerting surface tension force to the fluid.
arxiv +1 more source
Effects of non-linear rheology on the electrospinning process: a model study [PDF]
Mechanics Research Communications, vol. 61, pp. 41-46, 2014, 2014 We develop an analytical bead-spring model to investigate the role of non-linear rheology on the dynamics of electrified jets in the early stage of the electrospinning process. Qualitative arguments, parameter studies as well as numerical simulations, show that the elongation of the charged jet filament is significantly reduced in the presence of a non-
arxiv +1 more source
On the Optimal Control of a Class of Non-Newtonian Fluids [PDF]
Annali dell'Universita di Ferrara, Vol. 60, Iss. 1, pp. 133-147
(2014), 2015 We consider optimal control problems of systems governed by stationary, incompressible generalized Navier-Stokes equations with shear dependent viscosity in a two-dimensional or three-dimensional domain. We study a general class of viscosity functions including shear-thinning and shear-thickening behavior. We prove an existence result for such class of
arxiv +1 more source
The solution of Cahn-Allen equation based on Bernoulli sub-equation method
Results in Physics, 2019 In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families.
Muhammed I. Syam
doaj
On building machine learning models for medical dataset with correlated features
Computational and Mathematical BiophysicsThis work builds machine learning models for the dataset generated using a numerical model developed on an idealized human artery. The model has been constructed accounting for varying blood characteristics as it flows through arteries with variable ...
Nayak Debismita +1 more
doaj +1 more source
Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
doaj
Augmenting heart disease prediction with explainable AI: A study of classification models
Computational and Mathematical BiophysicsAlthough heart disease stands as a prominent contributor to worldwide deaths, not all individuals affected by it ultimately fall prey to its effects. Timely diagnosis and effective treatment can offer those with heart conditions a high-quality life in ...
Titti Raja Rani +2 more
doaj +1 more source
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker-Planck equations [PDF]
arXiv, 2009 We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The proof yields a priori estimates for the growth of spatial gradients.
arxiv