Energy-stable numerical schemes for fluid vesicles with internal nematic order

Abstract: Models of flows containing vesicles membranes with liquid crystalline phases have been widely studied in recent times due to its connection with biological applications.

During the seminar I will present the main ideas to derive a new model to represent the interaction between flows and vesicle membranes with internal nematic order and preferential orientation of their molecules in the membrane. In fact, the dynamics of this system is determined by the dissipation of an energy that regulates the competition between different effects, through the kinetic, bending, elastic and anchoring energies.

Moreover, I will introduce a new unconditionally energy-stable numerical scheme to approximate the model, and I will present several numerical results in order to show the well behavior of the proposed scheme and the dynamics of this type of vesicle membranes.

This contribution is based on joint work with Francisco Guill ́en-Gonzal ́ez (Universidad de Sevilla, Spain) and Mar ́ıa Angeles Rodr ́ıguez-Bellido (Universidad de Sevilla, Spain).

general mathematics

Audience: researchers in the topic

Comments: Zoom Meeting ID: 970 1588 0121 Passcode: 781507

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Global Seminar on Mathematical Modeling and Applications

Series comments: Description: Occasional seminar on mathematical modeling and related topics

In light of the worldwide cancellations of meetings workshops and conferences many of us are forced to switch to online mode of communication. Thus following the example of many other initiatives we decided to organize a Global Seminar on Mathematical Modeling and Applications.

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