Contents |
We study a conservative scalar model that shares many similar properties with the classical Euler equation (energy conservation, structure of the nonlinearity). In the viscous case it has been proposed as a model for the Navier-Stokes system. We show that the inviscid model is globally well-posed for positive initial data using the nonlocal maximum principle developed recently by Constantin and Vicol in the context of the critical SQG. |
|