Fecha | Titulo | Conferenciante | Abstract | |
26 de junio 2024 a las 12:00 en el aula 11 | Multiscale Interface Coupling of PDEs and ODEs for Tissue Perfusion | Lorena Bociu (NCSU) |
In biomechanics, local phenomena, such as
tissue perfusion, are strictly related to the global features of the
whole blood circulation. We propose a heterogeneous model where a
local, accurate, 3D description of tissue
perfusion by means of poroelastic equations is coupled with a
systemic 0D lumped model of the remainder of the circulation.
This represents a multiscale strategy, which
couples an initial boundary value problem to be used in a specific
tissue region with an initial
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13 de junio 2024, en el aula 3 |
p-adic integrable
systems and symplectic manifolds |
Luis Crespo Ruiz (Universidad de Cantabria) |
The notions of symplectic manifold and
integrable system are usually formulated over the real field.
However, some discoveries in mathematical physics (by B. Dragovich
and others) lead to the question of whether these notions can be
extended to p-adic fields. A. Pelayo, V. Voevodsky and M. Warren
laid the foundations for these definitions a decade ago.
I will
present new formulations and results for p-adic symplectic geometry,
centered at the p-adic version of the Jaynes-Cummings system. Some
aspects of this system are familiar to us, such as the fact that the
fiber of (-1,0) is the only one that may contain an isolated point
(depending on p), but unlike the real case, there are more points in
that fiber, and they are not isolated. This is joint work with
Alvaro Pelayo.
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14 de mayo a las 11:30 en el aula 3. |
Stable discontinuous
stationary solutions to reaction-diffusion systems |
Grzegorz Karch (University of Wroclaw,
Poland) |
I shall review results, obtained jointly with
Anna Marciniak-Czochra, Kanako Suzuki, and Szymon Cygan, on a
certain class of reaction-diffusion systems from Mathematical
Biology, where ordinary differential equations are coupled with one
reaction-diffusion equation. Such systems may have regular (i.e.
sufficiently smooth) stationary solutions, however, all of them are
unstable. We showed that solutions to such problems may behave in a
singular way for large values of time and converge towards
discontinuous stationary solutions. |
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Lugar: Facultad de Ciencias, Universidad de Cantabria.
Contacto: diana. stan [at] unican.es