Categoria:
Seminari di Analisi Matematica
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Sala di Consiglio
Sede:
Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma
Speaker:
Jean-Pierre PUEL UNIVERSITE VERSAILLES/SAINT QUENTIN-EN-YVELINES
We will explain the notion of exact controllability to trajectories and the main mathematical difficulties which are closely related (without going into technical details); We will give some recent results obtained in this direction for equations of fluid mechanics. An interesting point is the relation of this concept to a non standard approach of a data assimilation problem: if you know the (value of the) solution y of an evolution problem on a (small) subdomain Ω0 during a period of time (0,T) can you determine the value of y(t0) on the whole domain Ω? The usual question is set for t0=0 and this gives an ill-posed problem while we show (for some important examples) that for any t0>0, it corresponds to a well-posed problem. This is of major importance for many applications, for example for simulation of meteorological models.