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Universidad de Cádiz
Edificio Constitución 1812 (Antiguo Cuartel de La Bomba)
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Course IX.- Modern Approach to Symmetries. Mathematical Models in Biomathematics


  Nº de Plazas Disponibles Matriculados Preadmitidos En lista de espera
Nº de Plazas sin créditos 12 4 9 0

DATOS SOBRE LA ACTIVIDAD

OBJETIVOS:

Objectives:

The objectives of this course is to focus the attention of students on symmetry
methods to search for exact solutions of nonlinear models in physics, in engineering
science, and in biology as well as to show recent developments of the theoretical
tools of the Lie group methods applicable to the study of differential equations.

PROGRAMA:

Preliminary PROGRAMME:

MONDAY  June 12nd, 2017

9:00 ‐ 10:00 Presentation (Dr. Stephen Anco, Brock University; Dra. Mª Luz Gandarias and Dra. Mª Santos Bruzón, University of Cádiz).

10:00 – 11:00 Modern approach to symmetries: theory and computation. (Dr. Stephen Anco, Brock University).

11:00 – 11:30 Break

11:30 – 13:30 Integration of ordinary differential equations using symmetries (Dra. Mª Luz Gandarias, University of Cádiz).

TUESDAY June 13rd, 2017

9:00 ‐ 11:00 Invariant solutions of partial differential equations (Dra. Mª Santos Bruzón, University of Cádiz).

11:00 – 11:30 Break

11:30 – 12:30 General elements about models in interacting population dynamics: Balance equations, constitutive equations. (Dr. Mariano Torrisi, University of Catania).

12:30 – 13:30 General elements of invertible point transformations, symmetries and equivalence transformations (Dra. Rita Traciná, University of Catania).

WEDNESDAY June 14th, 2017

9:00 ‐ 11:00 Symmetry reduction and solutions. Examples (Dr. Masood Khalique, South Africa North-West University).

11:00 – 11:30 Break

11:30 – 12:30 Modern formulation of Noether's theorem: theory and computation (Dr. Stephen Anco, Brock University).

12:30 – 13:30 Generalization of Noether's theorem to non-variational equations: theory and computation of conservation laws (Dr. Stephen Anco, Brock University).

THURSDAY June 15th, 2017

9:00 ‐ 10:00 Symmetries, adjoint-symmetries, conservation laws, and Ibragimov's theorem (Dr. Stephen Anco, Brock University).

10:00 – 11:00 Reaction diffusion models and their symmetries. Two cases (Dr. Mariano Torrisi, University of Catania).

11:00 – 11:30 Break

11:30 – 12:30 General elements of differential invariant of equivalence transformation (Dra. Rita Traciná, University of Catania).

12:30 – 13:30 Applications of differential invariants to diffusion equations. (Dr. Mariano Torrisi, University of Catania).

FRIDAY June 16th, 2017

9:00 ‐ 10:00 Classical symmetries for a type of Fisher equation. Reductions and some exact solutions for a type of Fisher equation (Dra. Mª Rosa Durán, University of Cádiz).

10:00 – 11:00 Conservation laws for a generalized Fisher equation (Dra. Mª Rosa Durán, University of Cádiz).

11:00 – 11:30 Break

11:30 – 12:30 Mathematical Models in Biomedicine with applications in tumor growth I (Dr. Juan Belmonte, University of Castilla-La Mancha).

12:30 – 13:30 Mathematical Models in Biomedicine with applications in tumor growth II (Dr. Juan Belmonte, University of Castilla-La Mancha).

More Information:

http://internationalsummerschool.uca.es/

Lugar de celebración: Cadiz, Spain

Duración: 20 Horas

Fecha de Inicio de la Actividad: 12/06/2017

Fecha de finalización de la Actividad: 16/06/2017



DATOS ADMINISTRATIVOS

Programa al que pertenece: IV UCA International Summer School

Fecha de Inicio del Plazo de Inscripción para la Actividad: 03/04/2017

Fecha de finalización del Plazo de Inscripción para la Actividad: 01/06/2017

Precio de la actividad:
- Course IX fee: 200 € (Necesita acreditar:)

Observaciones sobre las formas de pago:

REGISTRATION & PAYMENT

Students interested in taking part in the course (1) must register via the website (please check course links below) and (2) pay the course fee by means of bank transfer.

Bank Transfer Data:

BANK: Banco de Santander

ADDRESS: Calle Columela, 13, 11001- Cádiz (Spain)

ACCOUNT HOLDER: Universidad de Cádiz

ACCOUNT NUMBER: 0049 4870 85 2916092739

IBAN: ES48 0049 4870 85 2916092739

BIC/SWIFT CODE: BSCHESMM

DESCRIPTION: In favour of “IV UCA International Summer School (Number of the selected Course)”, indicating the student full name.

Please, send a copy of the bank transfer to the e-mail address: iss.uca-ceimar@uca.es

Notice: The inscription will be formally done once we receive by e-mail the proof of payment.

*The refund could only be carried out in case of working reasons or illness, in both cases please justify with documents.

Cancelation and refund can be accepted only for work or illness reasons. In both cases, supporting documentation must be presented.

Nº de Coordinadores: 1

Nombre del Coordinador: María Santos Bruzón Gallego

Universidad: University of Cadiz

Departamento: Departament of Mathematics, Faculty of Sciences