PSU Mark
Eberly College of Science Mathematics Department

Math Calendar

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May 2nd, 2016 (02:30pm - 03:20pm)
Seminar: Computational and Applied Mathematics Colloquium
Title: Multiscale Modeling of the Cell and Beyond
Speaker: Zhangli Peng, University of Notre Dame
Location: MB106

Molecular mutations can lead to altered physical properties and malfunction of cells. However, it is a grand computational challenge to bridge the scales from molecules to cells. In this seminar, I will show examples of applying multiscale modeling to investigate biophysical problems from molecular level to cell level, such as malaria, hereditary blood disorder, sickle cell disease, and cancer metastasis. The findings from these problems have only become possible due to the multiscale modeling technique and the state-of-the-art understanding of molecular structures, and promise a new avenue to study the physics of living systems.

May 3rd, 2016 (04:15pm - 05:30pm)
Seminar: Special Event
Title: SL(2,R) seminar
Speaker: Various, Penn State
Location: MB315
Abstract: http://

This seminar will example aspects of the representation theory of SL(2,R)

May 4th, 2016 (09:30am - 12:30pm)
Seminar: Ph.D. Thesis Defense
Title: Uniqueness and singularities of weak solutions to some nonlinear wave equations
Speaker: Qingtian Zhang, Adviser: Alberto Bressan, Penn State
Location: MB106

I will talk about several results I obtained during my phd period. First result is the uniqueness of conservative weak solution to (two-component) Camassa-Holm equations, and variational wave equations. They are mainly based on the representation of solutions along the characteristics. I will also present the results on generic singularities of Camassa-Holm equation and two-component Camassa-Holm equations, revealing their differences. For the case of cubic Camassa-Holm equation, where the characteristic method fails, I will prove the global wellposedness of weak solution by Kruzkov's theory. Last part will be the results on p-system. I will provide several examples showing that the BV norm of approximate solutions may blow up.

May 4th, 2016 (09:30am - 11:30am)
Seminar: Ph.D. Thesis Defense
Title: TBA
Speaker: Qingtian Zhang, Adviser: Alberto Bressan, Penn State
Location: MB114
Abstract: http://
May 10th, 2016 (11:15am - 12:05pm)
Seminar: Combinatorics/Partitions Seminar
Title: Radial Limits of a Universal Mock Theta Function
Speaker: Steffen Lobrich
Location: MB106

In his last letter to Hardy, Ramanujan provided 17 examples for what he called a "mock theta function". These are given by q-hypergeometric series that have the same growth behavior as classical modular forms as one radially approaches roots of unity from within the unit disc. We find explicit formulas for radial limits of a universal mock theta function that can express all of Ramanujan's examples.

May 13th, 2016 (11:00am - 12:00pm)
Seminar: Special Talk
Title: Vesicles in contact with multiple aqueous phases
Speaker: Halim Kusumaatmaja
Location: MB106
Abstract: http://

We study novel soft matter systems consisting of lipid vesicles and phase separating polymer solutions. Our theoretical analysis suggests the existence of an intrinsic contact angle between the membranes and the aqueous phases, reminiscent to Young's angle in standard wetting phenomena. An explicit relation is derived by which the intrinsic angle can be determined from experimental observables. The theory is then used to describe (i) the budding transition, where one of the aqueous phases protrudes from the vesicle body to minimize the interfacial energy between the aqueous phases; (ii) the formation of membrane nanotubes in these systems; and (iii) the competition between these two modes of spending excess membrane area (i.e. budding transition vs. tubular membrane formation). Finally, I will show preliminary results where we develop the coupling of lattice Boltzmann and immersed boundary methods to study wetting on flexible surfaces.