FRIDAY, September 1, 2000
CNA/MATH COLLOQUIUM: 4:30 P.M., WeH 7500, Augusto Visintin, Universita' degli Studi di Trento, Dipartimento diMatematica, Trento, Italy.
TITLE: "Quasilinear Equations with Hysteresis"
ABSTRACT: Let
be a hysteresis operator,
and A a second order elliptic operator.
The following equation arises in
elasto-plasticity, ferromagnetism, ferroelectricity:
For
equal to a (possibly discontinuous) scalar Preisach
operator, existence of a solution is proved for an
associated initial- and boundary-value problem.
Processes in ferromagnetic metals and in ferromagnetic insulators can be represented by the following vector equations, respectively,
(here written with normalized coefficients).
Existence of a solution is proved for an initial- and
boundary-value problem associated to (2), for
equal to a
(possibly discontinuous) vector estension of the Preisach operator.
A similar result is proved for (3), for a smaller class of (discontinuous) hysteresis operators.