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Department of Mathematics

Applied Mathematics and Computation Seminars

Methane bubbles frozen in the ice of Lake Baikal

The AMC seminar is devoted to general topics in applied mathematics and computation. We welcome an interdisciplinary audience and speakers: faculty, researchers, and graduate students from mathematics, geosciences, computer science, engineering, atmospheric sciences, and other disciplines, to attend and present research talks in their fields as well as reaching across multiple fields. Both technical, tutorial, and expository presentations are welcome.

Attendees are encouraged to join the mailing list by sending an email to the organizer (M. Peszynska).

Students attending regularly are encouraged to sign up for (an appropriate section of) seminar credit under MTH 607. Non-OSU participants from outside academe are also encouraged to write an email to the organizers and provide their names and affiliation.

See below for upcoming seminars or access the seminar archive.

Organizers

Malgorzata Peszynska and Ralph E. Showalter.

Timing

Meetings are Fridays at noon.

Evolution on graphs and heat- and mass-gradient driven phase transitions

STAG 110

Speaker: Malgorzata Peszynska

We describe the basic modeling, analysis and approximation tools for phase transition models which use monotone multi-valued graphs. The PDE models with these feature free boundaries and lack of smoothness. We contrast these models to the (smoother) phase field and non-equilibrium models. Then we connect these abstract models to real-life applications of solid-liquid and soild-vapor phase transitions which are driven by, respectively, temperature and concentration gradients. We also discuss models where these are coupled. This is based on joint work with students and collaborators who will be named in the talk. Read more.

Heterogeneous domain decomposition approach for coupled soil-snow model

STAG 110

Speaker: Praveeni Mathangadeera

ABSTRACT: We present a heterogeneous domain decomposition approach for solving nonlinear heat conduction for a snow-soil model in Arctic environments. The snow and soil domains are treated as distinct physical domains, each described by a separate nonlinear heat equation with distinct nonlinear laws for material properties. These two models are coupled across their interface by ensuring the continuity of temperature and the conservation of heat flux. The coupled system is solved iteratively with a Dirichlet to Neumann approach, where the snow and soil models are solved independently, updating the interface conditions within a Richardson scheme until convergence is achieved. We show the basics of analysis, compare with Schur complement calculations, and with the monolithic approach. Read more.

TBA

STAG 110

Speaker: Stefanie Fazekas and Eddie Ramos-Arteaga

Read more.

TBA

STAG 110

Speaker: Daniel Fust

Read more.