Large diffusion phenomena for reaction-diffusion problems

SEMINARIO DEL DOCTORADO DE ESTADÍSTICA, OPTIMIZACIÓN Y MATEMÁTICA APLICADA. CURSO 2016-2017

Título: Large diffusion phenomena for reaction-diffusion problems

Ponentes: Jacson Simsen (Instituto de Matematica e Computaçao, Universidade Federal de Itajuba, Brasil)

Fecha:Viernes 3 de febrero de 2017 a las 12:00 horas

Lugar: Sala de seminarios, Instituto Universitario de Investigación CIO, Edificio Torretamarit, Universidad Miguel Hernández (Campus de Elche)

Resumen:

In this talk I will give an overview on reaction-diffusion problems with large diffusion emphasizing the last advances for problems with variable exponents. More specifically, we will consider initial value problems with spatially variable exponents under the homogeneous Neumann boundary conditions on smooth bounded domains. We will first consider the reaction term a univalued globally Lipschitz map and after a multivalued globally Lipschitz map with respect to the Hausdorff metric. We study continuity of solutions and upper semicontinuity of global attractors with respect to the initial data, exponents and diffusion parameters.