Mathematical Connections Seminar: Vincent Martinez
February 19, 2026 4:15–5:30 p.m.
Location
Shanahan Center, 3481
320 E. Foothill Blvd.
Claremont, CA 91711
Contact
Melissa Hernandez-Alvarez
mhernandezalvarez@hmc.edu
909.607.3618
Details
"Finite-dimensionality in Fluids and Applications"
Fluids can be described by partial differential equations (PDEs). As such, their solutions are typically given by functions of several variables. In the modern theory of PDEs, solutions are viewed as belonging to vector spaces whose elements are functions; these spaces are typically infinite-dimensional. For instance, if one insists on solutions having “finite energy,” then it is often natural to assume that solutions should be elements of the vector space of square-integrable functions. This talk will present the fundamental equations of incompressible fluids in a simplified setting that allows one to see its infinite-dimensional nature, but nevertheless demonstrate that their long-time behavior is, in some sense, finite-dimensional. We will then discuss the importance of this property in the context of turbulence and weather prediction.
This event is for: faculty, staff, students
faculty, staff, studentsCommunity Connections events provide opportunities for HMC faculty, students and staff to cultivate community, foster open conversations and share important information as together we live out our mission and shape the future of the College.
Calendars
The Office of Human Resources is excited to offer HR Connections, a gathering designed to provide a welcoming space where employees can connect with HR, share feedback and engage in open conversations about their workplace experiences. Whether over breakfast or afternoon tea, our goal is to foster meaningful dialogue, build relationships and better understand the needs and perspectives of our campus community.
Each session is intentionally kept small to encourage open discussion while bringing together a variety of ideas and experiences. Gatherings are hosted by Dana Nagengast, along with another member of the HR team. Participation is voluntary, and staff are asked to RSVP in advance.
The Office of Emergency Preparedness and Safety will conduct a practice lockdown exercise on Tuesday, Nov. 3, at 2:20 p.m. A lockdown is an emergency protocol designed to secure and protect individuals who are near an immediate threat. This procedure is used when it may be more dangerous to evacuate a building than to remain indoors.
At 2:20 p.m., HMC will initiate the exercise with an announcement sent via Mudd Alert, which you will receive through your HMC email (and by text message if you’ve chosen to opt in for text notifications using the Mudd Alert Registration form.
The goal of this exercise is to practice securing yourself in your current location should an emergency situation arise. The exercise will conclude no later than 2:30 p.m. with a second Mudd Alert notification indicating that it has ended. If you do not receive the first or second Mudd Alert messages, please proceed with initiating and concluding the exercise on your own wherever you are on campus during this timeframe. Community members will not be asked to evacuate during this lockdown exercise.
For more information, please contact Kelly Salazar, emergency preparedness and safety manager.
Students, faculty, and staff are invited to connect with President Nembhard this semester to share ideas, discuss projects and initiatives, talk about the College’s strategic plan, raise issues affecting the community, or simply connect.
To request a meeting, please choose a preferred slot on this link. Submitting a request does not guarantee an appointment. A member of the President’s Office will follow up with next steps.
Please note:
- Groups should be limited to no more than five people.
- Requests are reviewed as they are received and are subject to change.
Human Resources is excited to continue our Fall Learning Series in partnership with Optum, featuring the theme: “Thriving Through Change: Building Resilience in Today’s Workplace.” These live, instructor-led virtual sessions (via WebEx) are designed to provide practical tools and insights to support your professional and personal well-being through engaging and relevant topics. Each session will be recorded so you can revisit the content at your convenience.
Advance registration is required to attend the live session.
In December 2022, for the first time in human history, a fusion reaction in the laboratory produced more energy than the lasers that started it. That single result—decades in the making—didn’t just answer a physics question. It reshaped how the United States thinks about nuclear deterrence, energy, and what’s possible at the frontier of high-energy-density science. Kim Budil, director of Lawrence Livermore National Laboratory, will discuss this breakthrough and how this fits into the broader national security missions at Lawrence Livermore National Laboratory and beyond.
This talk is part of Professor Tom Donnelly’s course Fusion: A Brighter Future. Speakers will share their expertise on a variety of topics that relate to fusion.
Students, faculty, and staff are invited to connect with President Nembhard this semester to share ideas, discuss projects and initiatives, talk about the College’s strategic plan, raise issues affecting the community, or simply connect.
To request a meeting, please choose a preferred slot on this link. Submitting a request does not guarantee an appointment. A member of the President’s Office will follow up with next steps.
Please note:
- Groups should be limited to no more than five people.
- Requests are reviewed as they are received and are subject to change.
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