We study the blow-up phenomena arising in a p-laplacian equation with reaction and absorption terms. We show that there exists a unique blowing-up approximate self-similar solution which describe the asymptotic singular ...

We give kinetic formulation of measure valued and strong measure valued solutions to the Cauchy problem for a first-order quasilinear equation. For the corresponding kinetic equation the class of existence and uniqueness ...

We introduce a new notion of Markov functional and we prove that its properties allows to define a notion of capacity associated with the functional.

В фазовом пространстве интегрируемой гамильтоновой системы с тремя степенями свободы, описывающей движение волчка типа С. В. Ковалевской в двойном постоянном силовом поле, выделено четырехмерное инвариантное многообразие. ...