6 papers
Emergent swimming strategies of a smart three-bead swimmer
Ruma Maity, Maximilian Huebl, Julian Lemmel +2
Low-Reynolds-number microswimmers have recently attracted much interest for their ubiquity in biology and their applications in biotechnology and medicine. However, a key obstacle…
An energy-decreasing algorithm for the finite element approximation of ferronematic equilibrium states
Alexandre Ern, Ruma R. Maity
We develop an energy-decreasing algorithm for the finite element approximation of two-dimensional ferronematic equilibrium states. The problem is formulated as the minimization of…
Deflation-PINNs: Learning Multiple Solutions for PDEs and Landau-de Gennes
Sean Disarò, Ruma Rani Maity, Aras Bacho
Nonlinear Partial Differential Equations (PDEs) are ubiquitous in mathematical physics and engineering. Although Physics-Informed Neural Networks (PINNs) have emerged as a powerful…
Numerical analysis for constrained and unconstrained Q-tensor energies for liquid crystals
Heiko Gimperlein, Ruma R. Maity
This paper introduces a comprehensive finite element approximation framework for three-dimensional Landau-de Gennes -tensor energies for nematic liquid crystals, with a particul…
Bayesian Parameter Identification in the Landau-de Gennes Theory for Nematic Liquid Crystals
Heiko Gimperlein, Ruma R. Maity, Apala Majumdar +1
This manuscript establishes a pathway to reconstruct material parameters from measurements within the Landau-de Gennes model for nematic liquid crystals. We present a Bayesian appr…
Active chiral rotors: hydrodynamics and chemotaxis
R. Maity, Snigdha Thakur, P. S. Burada
An active chiral rotor is a spherical object that can generate chiral flows in a fluid by rotating about an axis. For example, if the flow around the upper hemisphere of the chiral…