Analysis and Mathematical Physics

In this talk, we will explore recent developments in the study of coherent structures evolving by incompressible flows. Our focus will be on the behavior of fluid interfaces and vortex filaments. We include the dynamics of gravity Stokes interfaces...

We reduce the solution of the Navier-Stokes (NS) equation in infinite Euclidean space of arbitrary dimension to a one-dimensional singular problem. Assuming rough initial data, characterized by a Gaussian distribution around an arbitrary velocity...

The question of asbolute continuity, with respect to the reference measure, of the harmonic measure on a domain with rough boundary has been the object of many important results. Here we ask about the similar question, but where the Dirichlet...

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