CORDIS Project
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This project explores the role of randomness in multiscale partial differential equations (PDEs) to improve understanding of complex physical phenomena. It aims to develop new theories for stochastic homogenization and stability in nonlinear models, enhancing numerical approximation methods.
The identification and justification of scaling limits is a central theme in modern PDE theory, reflected for instance in the theories of homogenization and singular limits.
In many multiscale PDE models, randomness plays a crucial role:
In random media, the quantitative homogenization process is driven by decorrelation and concentration of measure; for ill-posed evolution problems like many interface evolution equations, random noise may provide a regularization, potentially restoring well-pose…
INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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