Nonlinear PDEs and its applications in Natural Sciences

Nonlinear PDEs and its applications in Natural Sciences

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

 

Organiza

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Colabora

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