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cond-mat.soft2023
Stochastic effects on solution landscapes for nematic liquid crystals
James Luke Dalby, Apala Majumdar, Yue Wu +1
We study the effects of additive and multiplicative noise on the solution landscape of nematic liquid crystals confined to a square domain within the Landau-de Gennes framework, as…
math.NA2023
Quasi-Optimality of AFEM for Distributed Optimal Control Problems of Stokes Equations: An Axiomatic Framework
Tooba M. Shaikh, Asha K. Dond
This paper focuses on the quasi-optimality of an adaptive nonconforming finite element method for a distributed optimal control problem governed by the Stokes equation. The nonconf…
math.AP2023
Existence and uniqueness of weak solutions to the Smoluchowski coagulation equation with source and sedimentation
Prasanta Kumar Barik, Asha K. Dond, Rakesh Kumar
This article is devoted to a generalized version of Smoluchowski's coagulation equation. This model describes the time evolution of a system of aggregating particles under the effe…