DSpace Collection:http://hdl.handle.net/10174/1392026-04-05T13:47:22Z2026-04-05T13:47:22ZModelling with PDEs: the example of traffic flow, a few aspectsCorreia, Joaquim M.C.http://hdl.handle.net/10174/405652026-01-26T01:04:16Z2025-05-31T23:00:00ZTitle: Modelling with PDEs: the example of traffic flow, a few aspects
Authors: Correia, Joaquim M.C.
Abstract: The lecture examines how partial differential equations are used to
represent and analyse traffic dynamics. It discusses key models addressing aspects like congestion, wave propagation, and the impact of driver behaviour on traffic patterns.2025-05-31T23:00:00ZThe Riemann problem for a model in elastoplasticity with hysteresisCorreia, Joaquim M.C.http://hdl.handle.net/10174/405582026-01-19T22:27:39Z2025-06-26T23:00:00ZTitle: The Riemann problem for a model in elastoplasticity with hysteresis
Authors: Correia, Joaquim M.C.
Abstract: We revisit the 1-D(imensional) case of the 3-D Antman-Szymczak model for the
longitudinal motion in an elastic-plastic bar [Ant, Tran]. As far as real-world applications are under consideration the model captures two main behaviour
phenomena: limit “total compression”, and tension and compression yield points
(elastic-plastic phase transitions, allowing for hysteresis). A major technical
difficulty here is on handling the Lipschitz continuous low regularity of the
so-called flux function, a consequence of the elastic-plastic phase transition, which imply discontinuous wave speeds. While in the past we solved a general class of Riemann problems for 1st order hyperbolic systems of conservation laws with
Lipschitz continuous flux-functions [CLT] capturing the model under consideration
we are now concerned with how to handle, directly, the common in applications
2nd order hyperbolic pdes, e.g., what if we rewrite the model as a nonlinear wave
equation? Finally, a second reason to revisit this model is because of our
(pre)occupation on the proper mathematical modelling of “physical phenomena”:
hysteresis has a viscosity like effect, i.e., it is an interesting energy dissipative mechanism.2025-06-26T23:00:00ZProblem solving, the IMO Roadmap and Linear AlgebraCorreia, Joaquim M.C.http://hdl.handle.net/10174/403582026-01-12T22:59:04Z2025-01-29T00:00:00ZTitle: Problem solving, the IMO Roadmap and Linear Algebra
Authors: Correia, Joaquim M.C.
Abstract: Lecture (4h=2x2h) on "Problem solving, the IMO Roadmap and Linear Algebra" at the 4th
LMA Workshop Day for High-School Teachers, Academic Seminar of the Lao Mathematics Association, January 29th, 2025, Vientiane, Lao PDR2025-01-29T00:00:00ZJ&J Vision Care Inc. : Manufacture of contact lensesSmith, AnnO'Brien, DavidGreenbank, EmmaPlanella, Ferran BrosaMirnia, JavadAlmonacid, JavierCorreia, JoaquimMoroney, KevinKeating, LeahSchwarzwalder, MarcMcGuinness, MarkCoughlan, MichaelVynnycky, MichaelDellar, PaulMurphy, SarahBohun, SeanLee, Wiliamhttp://hdl.handle.net/10174/403432026-01-12T22:53:46Z2023-06-22T23:00:00ZTitle: J&J Vision Care Inc. : Manufacture of contact lenses
Authors: Smith, Ann; O'Brien, David; Greenbank, Emma; Planella, Ferran Brosa; Mirnia, Javad; Almonacid, Javier; Correia, Joaquim; Moroney, Kevin; Keating, Leah; Schwarzwalder, Marc; McGuinness, Mark; Coughlan, Michael; Vynnycky, Michael; Dellar, Paul; Murphy, Sarah; Bohun, Sean; Lee, Wiliam
Abstract: Optimise J&J contact lens curing process: 1) develop a mathematical model; 2) how does curing time depend on thickness.; 3) how do changes in the monomer solution affect curing time.; 4) the function of nitrogen.2023-06-22T23:00:00Z