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| 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. |
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