Linear and Nonlinear Hyperbolic Equations

On the Global Well-Posedness for the Compressible Navier-Stokes Equations in a L^p Framework

speaker: Raphaël Danchin (Professor, LAMA, University Paris 12, France)

abstract: The talk is dedicated to the global well-posedness issue for the barotropic compressible Navier-Stokes system in the whole space. For small perturbations of a stable equilibrium state in the sense of suitable L^p-type critical Besov norms, we establish the global existence. As a consequence, like for incompressible flows, one may exhibit a class of large highly oscillating initial velocity fields for which global existence and uniqueness holds true.

timetable:
Thu 11 Feb, 10:00 - 10:50, Sala Conferenze Centro De Giorgi
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