Organizers: Rodríguez Bellido, María Ángeles (Universidad de Sevilla), Morales Rodrigo, Cristian (Universidad de Sevilla), Shmarev, Sergey (Universidad de Oviedo)
Abstract
The objective of the session is to present recent results in the theory of nonlinear PDEs, with special attention to the equations that come from the mathematical modelling of real processes and phenomena, such as the population dynamics, chemistry, medicine, or processing of digital images. The session will contribute to the theoretical and numerical study of the equations and systems of nonlinear equations arising in natural sciences.
Keywords: biology models; nonlinear PDEs; models in medicine
Session 3. Tuesday 10:30-12:10. Room A4
Chair: Shmarev, Sergey (U. de Oviedo)
Speaker |
Organization |
Contribution title |
Vázquez, Juan Luis |
Universidad Autónoma de Madrid |
Nonlinear fractional Laplacian operators and equations |
Carpio, Ana |
Universidad Complutense de Madrid |
Well posedness and numerical solution of kinetic models for angiogenesis |
Granero-Belinchón, Rafael |
Universidad de Cantabria |
Keller-Segel type systems with fractional diffusion |
Suárez, Antonio |
Universidad de Sevilla |
Inclusion of non-local terms in population dynamics PDEs models |
Session 4. Tuesday 12:15-13:55. Room A4
Chair: Suárez, Antonio (Universidad de Sevilla)
Speaker |
Organization |
Contribution title |
Díaz, Jesús Ildefonso |
Universidad Complutense de Madrid |
Spatial symmetrization of solutions of some diffusive age-structured population models and applications |
Tello, Lourdes |
Universidad Politécnica de Madrid |
On a nonlinear problem with diffusive boundary condition |
Galiano, Gonzalo |
Universidad de Oviedo |
Turing instability analysis of a singular cross-diffusion problem |
Hidalgo, Arturo |
Universidad Politécnica de Madrid |
Numerical simulation of an atherosclerosis model |
Session 6. Wednesday 10:30-12:10. Room A4.
Chair: Guillén, Francisco (Universidad de Sevilla)
Speaker |
Organization |
Contribution title |
Calvo, Juan |
Universidad de Granada |
Model calibration for aggregation-sedimentation dynamics |
Conte, Martina |
Universidad de Granada |
Modelling the emergence of invasion patterns during glioblastoma progression |
Sánchez Romero, Oscar |
Universidad de Granada |
Morphogenetic modelling revisited. |
Logioti, Anna |
Universität Bonn, Germany |
A free boundary problem modeling cell polarization |
Session 7. Thursday 11:30-13:35. Room A4
Chair: Rodríguez Bellido, María Ángeles (Universidad de Sevilla)
Speaker |
Organization |
Contribution title |
Guillén, Francisco |
Universidad de Sevilla |
An optimal bilinear control problem related to a chemo-repulsion with nonlinear production model |
Saad, Mazen |
École Normale de Nantes (France) |
Pattern formation a nonlinear degenerate chemotaxis model |
Rodríguez Galván, J. Rafael |
Universidad de Cádiz |
Flux-Corrected Methods for Chemotaxis Equations |
Acosta Soba, Daniel |
Universidad de Cádiz |
On Numerical Approximations to Diffuse-Interface Models with Application to Tumor Growth |
Viglialoro, Giuseppe |
Università degli Studi di Cagliari |
On the blow-up time of unbounded solutions to a nonlinear chemotaxis system |
Session 8. Thursday 18:00-20:00. Room A4
Chair: Morales Rodrigo, Cristian (Universidad de Sevilla)
Speaker |
Organization |
Contribution title |
Tello, José Ignacio |
Universidad Nacional de Educación a Distancia |
Blow up of solutions for a Parabolic-Elliptic Chemotaxis System with nonlinear gradient dependent chemotactic coefficient |
Negreanu, Mihaela |
Universidad Complutense de Madrid |
Global existence and asymptotic behavior of solutions to a chemotaxis system with chemicals and prey-predator terms |
Velasco Valdés, Julian |
Universidad de Oviedo |
Weakly nonlinear analysis of a system with non-local diffusion |
Cintra, Willian |
Universidade de Brasília, Brazil |
On positive solutions for a class of quasilinear elliptic equations |
|
|
|
Session 9. Friday 11:30-13:10
Chair: Galiano, Gonzalo (Universidad de Oviedo)
Speaker |
Organization |
Contribution title |
Shmarev, Sergey |
Universidad de Oviedo |
Nonlocal parabolic equations with the nonlinearity depending on the solution |
Borges de Oliveira, Hermenegildo |
Universidade do Algarve (Portugal) |
Numerical confinement of a viscous fluid by a feedback forces field |
Sert, Ugur |
Hacettepe University, Ankara (Turkey) |
On a class of nonlocal evolution equations of Kirchhoff type |
Maestre Caballero, Faustino |
Universidad de Sevilla |
On a non-linear system of PDEs with application to tumor identification |