IWPDEMS 2025
Tuesday, October 21st — Room B‑204, IIMAS, UNAM, Mexico City
A one-day scientific workshop with invited talks on partial differential equations and material sciences.
About the Workshop
An interdisciplinary one‑day workshop at IIMAS‑UNAM focusing on mathematical analysis and applications to material sciences.
Event
The International Workshop on PDEs and Material Sciences explores advanced mathematical models and analytical techniques applied to problems in physics, biology, and materials science.
Luis Fernando López-R. (IIMAS, UNAM)
Ramón G. Plaza (IIMAS, UNAM)
The workshop’s talks span diverse topics, including the well-posedness of compressible Navier–Stokes equations with fractional dissipation, stability analysis using Lie theory for logarithmic heat equations, and modeling of spatial dynamics in biological and ecological systems. Other presentations address pattern formation in thin-film shape-memory alloys through convex hull methods, spectral stability of standing wave solutions in modified Eckhaus equations, and the nonlinear stability of phase transitions in hyperelastic materials. Collectively, the workshop emphasizes the interplay between partial differential equations, nonlinear dynamics, and material modeling, highlighting current research at the intersection of applied mathematics and physical sciences.
Sponsors
DGAPA- UNAM Project IN-103425 and SECIHTI Project CF-2023-G-122
Invited Speakers
Felipe Ángeles
IIMAS, UNAMInvited speaker
César Hernández‑Melo
Universidad de MaringáInvited speaker
Davide Cusseddu
Politecnico di TorinoInvited speaker
Enrique Álvarez
IIMAS, UNAMInvited speaker
Lauro Morales
UAM IztapalapaInvited speaker
Fabio Vallejo
IIMAS, UNAMInvited speaker
Programme — Tuesday, October 21st, 2025
Room B‑204, IIMAS, UNAM
| Time | Speaker | Affiliation | Title |
|---|---|---|---|
| 10:00 — 10:40 | Felipe Ángeles | IIMAS, UNAM | Well‑posedness of the compressible Navier‑Stokes equations with fractional dissipation |
| 10:50 — 11:30 | César Hernández‑Melo | Universidad de Maringá | Lie Theory and instability of equilibrium solutions for logarithmic heat equations in Banach algebras |
| 11:30 — 12:00 | Coffee break | ||
| 12:00 — 12:40 | Davide Cusseddu | Politecnico di Torino | Modelling spatial dynamics in Biology: cell polarisation and ecological patterning |
| 12:40 — 15:00 | Lunch break | ||
| 15:00 — 15:40 | Lauro Morales | UAM Iztapalapa | Generalized convex hull for the coplanar n-well problem and its relation to pattern formation in thin-film shape memory alloys |
| 15:50 - 16:30 | Enrique Álvarez | IIMAS, UNAM | Existence and spectral stability analysis of a family of standing periodic wave solutions for a modified Eckhaus equation with an additional term |
| 16:30 - 17:00 | Coffee break | ||
| 17:00 - 17:40 | Fabio Vallejo | IIMAS, UNAM | Nonlinear dynamic stability of phase transitions in hyperelastic materials |