4 papers
Parameter dependent finite element analysis for ferronematics solutions
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
This paper focuses on the analysis of a free energy functional, that models a dilute suspension of magnetic nanoparticles in a two-dimensional nematic well. The {\it first part} of…
Error analysis of Nitsche's and discontinuous Galerkin methods of a reduced Landau-de Gennes problem
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
We study a system of semi-linear elliptic partial differential equations with a lower order cubic nonlinear term, and inhomogeneous Dirichlet boundary conditions, relevant for two-…
Discontinuous Galerkin Finite Element Methods for the Landau-de Gennes Minimization Problem of Liquid Crystals
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
We consider a system of second order non-linear elliptic partial differential equations that models the equilibrium configurations of a two dimensional planar bistable nematic liqu…
Chemotaxis of ciliated microorganisms: with and without noise
Ruma Maity, P. S. Burada
Biological systems like ciliated microorganisms are capable to respond to the external chemical gradients, a process known as chemotaxis which has been studied here using the chira…