TalksPlanar Turbulent Euler Flows with Singularities
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Planar Euler flows are described by semilinear elliptic equations with Dirichlet or Neumann boundary condition. The choice of the nonlinearity is a physical ansatz which depends on the special vortex structure one is interested in. The nonlinearities considered so far in literature are all of exponential type with possibly singular sources. I will briefly review known results and will present a new result about singular mean-field equations on simply-connected domains.
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Pierpaolo Esposito
2011-01-10
16:00:00 - 16:25:00
R102 , Astronomy and Mathematics Building
Planar Euler flows are described by semilinear elliptic equations with Dirichlet or Neumann boundary condition. The choice of the nonlinearity is a physical ansatz which depends on the special vortex structure one is interested in. The nonlinearities considered so far in literature are all of exponential type with possibly singular sources. I will briefly review known results and will present a new result about singular mean-field equations on simply-connected domains.
Joint work with M. del Pino and M. Musso.
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