Events
Department of Mathematics and Statistics
Texas Tech University
The hyperbolic Navier-Stokes equations considered here are the incompressible Navier-Stokes equations with an extra double time derivative term. Whether or not classical solutions to the hyperbolic Navier-Stokes equations (even in the 2D case) can develop finite-time singularities remains a challenging open problem. The talk presents a global existence and stability result when the coefficient of the double time derivative term and the size of the initial data satisfy a suitable constraint.
This week's Analysis seminar may be attended in-person at 4:00 PM CST (UT-6)
The transmission of mosquito-borne diseases depends on time-varying processes, such as temperature, precipitation, ecological habitat, and vector demography. The Climate Integrated Model of Mosquito-borne Infectious Diseases (CIMMID) initiative at the Los Alamos National Laboratory uses heterogeneous data fusion and mechanistic modeling to quantify future mosquito-borne disease risk under different scenarios of climate change. We first present a data-fusion framework for connecting mosquito time series data to our epidemiology models – a nonautonomous logistic model with periodically-varying parameters captures the interannual variability of mosquito population data across different species and geographical regions. We then introduce a partial differential equations model for West Nile Virus (WNV) transmission. This PDE model includes infection-age dynamics of mosquito vectors and bird hosts. Finally, we explain how projected climate data will be used to compare current and future WNV transmission risk between temperate and desert climates. As climate change continues to threaten our world, developing data-driven mathematical models becomes crucial to controlling and mitigating future vector-borne diseases.
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In the first part of the talk, we will continue the discussion of classification in algebraic geometry, and I will introduce the idea of topological classifications. I will then report some results on the numbers of equivalence classes for certain specific classifications of cubic and quartic curves. In the second part of the talk, ideals in polynomial rings will be introduced, and a discussion of their role in algebraic geometry will begin.
 | Wednesday
Feb. 15
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| Algebra and Number Theory
No Seminar
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Bring your own lunch and discuss (mostly) biology-related topics in math. Students, postdocs, and faculty welcome from any discipline.
Pulsed power is the science and engineering of accumulating large amounts of energy over a long duration and releasing that energy over a very short duration, typically on a timescale ranging from picoseconds to microseconds. Releasing large amounts of electrical energy on such short timescales is associated with tremendous voltages and currents, often kilovolts to megavolts and kilo-amps to mega-amps, with instantaneous power ranging from gigawatts to nearly a petawatt. A biproduct of this extreme environment are very high electric and magnetic fields, the establishment of various classes of plasmas, and ions and electrons accelerated to highly relativistic energies.
Naturally, the pulsed power community faces a number of mathematical and computational challenges. These range from molecular dynamics models of gas, electron, and ion emission from solids and dielectrics, various plasma models (fluid, particle, magnetohydrodynamic, and more), electromagnetic models, and often multi-physics combinations of these models and more. More recently, these models have been combined with modern optimization and machine learning techniques to develop next generation pulsed power systems with state-of-the-art capabilities. This talk will discuss a few of the mathematical and computational challenges in the pulsed power community.
When: 4:00 pm (Lubbock's local time is GMT -6)
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: 940 7062 3025
* Passcode: applied