title: Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell.
abstract: We consider a mathematical model that consists of a nematic liquid crystal layer sandwiched between two parallel bounding plates, across which an external field is applied. We investigate how the number and type of solutions for the director orientation within the layer change as the field strength, anchoring conditions, and material properties of the nematic liquid crystal layer vary. In particular, we focus on how the inclusion of flexoelectric effects alters the Freedericksz and saturation thresholds.
authors.affiliation: Department of Mathematical Sciences and Center for Applied Mathematics and Statistics and New Jersey Institute of Technology, Newark, New Jersey 07102, USA.
authors.forename: E
authors.initials: E
authors.lastname: Mema
authors.affiliation: Department of Mathematical Sciences and Center for Applied Mathematics and Statistics and New Jersey Institute of Technology, Newark, New Jersey 07102, USA.
authors.forename: L
authors.initials: L
authors.lastname: Kondic
authors.affiliation: Department of Mathematical Sciences and Center for Applied Mathematics and Statistics and New Jersey Institute of Technology, Newark, New Jersey 07102, USA.
authors.forename: L J
authors.initials: LJ
authors.lastname: Cummings