On the time periodic free boundary associated to some nonlinear parabolic equations.
On the two-phase membrane problem with coefficients below the Lipschitz threshold
On the variational inequality approach to compressible flows via hodograph method.
We study the flow of a compressible, stationary and irrotational fluid with wake, in a channel, around a convex symmetric profile, with assigned velocity q-infinity at infinity and q-s < q-infinity at the wake. In particular, we study the regularity of the free boundary (for a problem which has non-constant coefficients), in the hodograph plane.
On the well-posedness of some optimal control problems
Si considerano problemi di controllo ottimale con una dipendenza non lineare tra il controllo e lo stato. Si mostra come in certi casi la continuità di tale dipendenza, quindi la buona posizione nel senso di Tychonov, è connessa alla forma del funzionale costo. In particolare si esamina un problema di Stefan a due fasi con controllo distribuito nel termine di sorgente.
On various types of viscous two-fluid flows
Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary convection....
On weak solutions of the equations of motion of a viscoelastic medium with variable boundary.
One-dimensional problem for heat and mass transport in oil-wax solution
A mathematical model of heat and mass transport in non-isothermal partially saturated oil-wax solution was formulated by A. Fasano and M. Primicerio [1]. This paper is devoted to the study of a one-dimensional problem in the framework of that model. The existence of classical solutions in a small time interval is proved, based on the application of a fixed-point theorem to the constructed operator. The technique employed is close to the one of [3] and [4].
One-sided Mullins-Sekerka flow does not preserve convexity.
Optimal control of dynamical processes in two-phase systems of solid-liquid type
Optimal regularity of lower dimensional obstacle problems.
Optimisation de forme et problème à frontière libre : cas du p-laplacien
Original title unknown
Overdetermined problems and the -Laplacian.
Overdetermined problems and the -Laplacian