On the two-dimensional pressure-less Euler equations

On the two-dimensional pressure-less Euler equations

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Eitan Tadmor , University of Maryland
Fine Hall 314

We prove the existence of weak solutions for the two-dimensional pressure-less Euler equations.  To this end we develop an L1 framework of dual solutions for such equations.  Their existence is realized as vanishing viscosity limits. The limit follows from new BV estimates, derived by tracing the spectral dynamics of the velocity gradient matrix.