Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations

Аннотация

Singular blow-up regimes are studied for a wide class of second-order quasilinear parabolic equations. Energy methods are used to obtain exact (in a certain sense) estimates of the final profile of the generalized solution near the blow-up time depending on the rate of increase of the global energy of this solution.