Equações Diferenciais

Fractionary powers of Laplacians in Fluid Mechanics

Por Antonio Córdoba (Universidad Autónoma de Madrid).

Abstract: Fractional powers of Laplacians play an important role in the evolution of fluid interphases and atmospheric fronts. There are several useful, and to some extend surprising, new pointwise inequalities satisfied by those operators which help us to understand the nature of several models in Fluid Mechanics, such as SQG, Hele-Shaw cells or Muskat’s problem.

The regularity of solutions to the elasto-plastic problem and to variational problems of fast growth

Por Arrigo Cellina (Università di Milano-Bicocca).

Abstract: We consider the problem of the higher differentiability of solutions to some variational problems, characterized by the fast growth of the Lagrangian with respect to the variable gradient. In particular,  the case of the elasto-plastic problem, where the Lagrangian is an extended-valued function, will be discussed.