Long-termin behaviour of evolutionary equations in chemistry and biology

01.01.2010 - 31.12.2011
Research funding project
The study of the long-time behavior of the solutions to evolution equations (modeling transport and reaction-diffusion mechanisms) is of paramount importance for the understanding of the corresponding applications, in order to determine typical time scales and, as a preliminary step, to control the systems. The main objective of this trilateral project is the analysis of the long-time asymptotics for certain classes of nonlinear partial differential equations. These equations describe the evolution of polymers, the selection and competition dynamics of populations, and the spatial organization of cell populations. The common feature of these models from chemistry and biology is that they are of kinetic or diffusion type, which may allow for the use of modern entropy dissipation estimates, which have been developed in recent years in particular by teams in France, Spain, and Austria.

People

Project leader

Institute

Grant funds

  • OeAD-GmbH - Agentur für Bildung und Internationalisierung (National) Austrian Exchange Service (OeAD)

Research focus

  • Mathematical and Algorithmic Foundations: 100%

Keywords

GermanEnglish
Langzeitverhalten von LösungenLong-time behavior of solutions
Nichtlineare Partielle DifferentialgleichungenNonlinear partial differential equations

Publications