On the twodimensional pressureless Euler equations
On the twodimensional pressureless Euler equations

Eitan Tadmor , University of Maryland
Fine Hall 314
We prove the existence of weak solutions for the twodimensional pressureless 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.