Display Abstract

Title Metastable dynamics in conservation laws

Name Corrado Mascia
Country Italy
Email mascia@mat.uniroma1.it
Submit Time 2014-02-26 04:50:23
Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
The presence of small parameters, such as viscosity coefficients or relaxation time, induces in the dynamics of evolutive PDEs the presence of different timescales. As a consequence, systems may exhibit an initial fast transient leading the solutions close to a low-dimensional approximately invariant manifold, followed by a slow evolution in the vicinity of the manifold itself. The aim of this talk is to present the mathematical quantification of the slow motion relative to the long-time scale, starting from the basic example of viscous scalar conservation laws and discussing some possible extensions to more realistic models.