Events
Department of Mathematics and Statistics
Texas Tech University
 | Monday
Sep. 23
|
| Algebra and Number Theory
No Seminar
|
We study the anisotropic Forchheimer-typed flows for compressible fluids in porous media. Unlike the isotropic flows, the important monotonicity properties are not automatically satisfied in this case. Therefore, various sufficient conditions for them are derived and applied to the experimental data. Next, we prove the existence and uniqueness of the steady state flows subject to a nonhomogeneous Dirichlet boundary condition. It is also established that these steady states, in appropriate functional spaces, have local Hölder continuous dependence on the forcing function and the boundary data. This is a joint work with Thinh Kieu (University of North Georgia, Gainesville Campus.)
Bring your own lunch and discuss (mostly) biology-related topics in math. Students, postdocs and faculty welcome from any discipline.
See the pdf flyer for this semester's schedule.
The existence of embedded geodesics on surfaces is the foundational problem. I will explain the existence of two capillary embedded geodesics on Riemannian 2-disks with a strictly convex boundary with a certain condition via multi-parameter min-max construction. I will then explain the existence of two free boundary embedded geodesics on Riemannian 2-disks with a strictly convex boundary by free boundary curve shortening flow on surfaces, which is a free boundary analog of Grayson’s theorem in 1989. Finally, I will explain the Morse Index bound of such geodesics.
Watch online via this Zoom link.
Abstract. Mathematical models in the applied sciences often involve an array of application-related parameters whose values are uncertain due to factors such as incomplete data, imprecise measurements, etc. In these cases, it is important to be able to determine how the stochasticity in these values will percolate into a computational approximation of the solution to the model. This is often quantified by sampling different values of the parameters and using this information to estimate statistical moments of the solution. When the model involves the solution of a partial differential equation the sampling process can become computationally expensive. In this talk, motivated by an application in plasma physics, we will explore the use of surrogates and multi-level computations to mitigate the computational cost of sampling. The work was done in collaboration with Howard Elman (University of Maryland) and Jiaxing Liang (Rice University)
When: 4:00 pm (Lubbock's local time is GMT -5)
Where: room MATH 011 (basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 979 1333 6658
* Passcode: Applied (Note the capital letter "A")
Math Circle Fall Poster
abstract noon CDT (UT-5)
Zoom link available from Dr. Brent Lindquist upon request.