RIT on Liquid Crystals - Modeling, Theory, and Numerics Archives for Academic Year 2020


Introduction to Liquid Crystals and the Q-tensor Theory

When: Wed, September 16, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09 Password: de_gennes
Speaker: Lucas Bouck (UMD) -
Abstract: We will introduce liquid crystals and then derive the Q-tensor description of a liquid crystal.

The Oseen Frank Model

When: Wed, September 23, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09 Password: de_gennes
Speaker: Lucas Bouck (UMD) -
Abstract: We will derive the Oseen Frank Energy of a uniaxial liquid crystal by first assuming that the energy is quadratic in the gradient and satisfies other desirable properties like frame indifference and material symmetry. Then, derivation we apply a few rotations and use the assumptions to end up with the Oseen Frank Energy.

Frank Oseen Model (Cont.)

When: Wed, September 30, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09 Password: de_gennes
Speaker: Lucas Bouck (UMD) -
Abstract: We will continue the derivation of the Frank Oseen Model of Liquid Crystals

Existence of Minimizers to Frank Energy

When: Wed, October 7, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09 Passcode: de_gennes
Speaker: Lucas Bouck (UMD) -
Abstract: We will prove existence of minimizers to the Frank Energy of Liquid Crystals using the direct method.

Numerics for the Frank Energy

When: Wed, October 14, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09 Passcode: de_gennes
Speaker: Lucas Bouck (UMD) -
Abstract: We will present a numerical scheme to compute minimizers to the Frank Energy.

Numerics for the Frank Energy

When: Wed, October 21, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09 Passcode: de_gennes
Speaker: Lucas Bouck (UMD) -
Abstract: We will continue discussing a numerical scheme to compute minimizers to the Frank Energy.

Numerics for the Frank Energy (Cont.)

When: Wed, October 28, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09
Speaker: Lucas Bouck (UMD) -
Abstract: We will continue our discussion of a FEM to compute minimizers to the Frank energy describing liquid crystals.

FEM for the Frank Energy

When: Wed, November 4, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09
Speaker: Lucas Bouck (UMD) -
Abstract: We will continue our discussion of an FEM for computing minimizers of the Frank Energy.

Projection Free Methods for Liquid Crystals

When: Wed, November 18, 2020 - 12:00pm
Where: https://umd.zoom.us/j/97570730017?pwd=NzJCcUxpK0NOZ2lUemxHekJaRnJ4Zz09
Speaker: Lucas Bouck (UMD) -
Abstract: We will cover projection free methods for minimizing the Frank Energy. This will allow us to drop restrictive mesh constraints.