The present thesis is devoted to the study both of strictly hyperbolic operators with low regularity coefficients and of the density-dependent incompressible Euler system. On the one hand, we show a priori estimates for a second order strictly hyperbolic operator whose highest order coefficients satisfy a log-Zygmund continuity condition in time and a log-Lipschitz continuity condition with respect to space. Such an estimate involves a time increasing loss of derivatives...
|Titolo:||Mathematical analysis of models of non-homogeneous fluids and of hyperbolic equations with low regularity coefficients|
|Relatore/i esterni:||Colombini, Ferruccio; Danchin, Raphaël|
|Data di pubblicazione:||28-mag-2012|
|Appare nelle tipologie:||8.1 PhD thesis|