Abstract:
This special session focuses on technologically important and mathematically interesting problems arising from material and biological sciences. Besides well-posedness and asymptotic studies of nonlinear PDEs and related particle systems, the session also includes presentations on averaging processes in porous media, non-periodic homogenization, statistical mechanics of particle systems, and multiscale dynamics. Interactions between different branches of mathematics are particularly welcome (e.g. measure theory and PDEs, probability and analysis of evolution equations.
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