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10 papers · 2 filters
Long-time behavior for a hydrodynamic model on nematic liquid crystal flows with asymptotic stabilizing boundary condition and external force
Maurizio Grasselli, Hao Wu
In this paper, we consider a simplified Ericksen-Leslie model for the nematic liquid crystal flow. The evolution system consists of the Navier-Stokes equations coupled with a conve…
Nonlocal phase-field systems with general potentials
Maurizio Grasselli, Giulio Schimperna
We consider a phase-field model where the internal energy depends on the order parameter in a nonlocal way. Therefore, the resulting system consists of the energy balance equation…
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Sergio Frigeri, Maurizio Grasselli
The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonl…
A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
V. Bacchelli, M. Di Cristo, E. Sincich +1
We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condi…
Two characterization of BV functions on Carnot groups via the heat semigroup
Marco Bramanti, Michele Miranda, Diego Pallara
In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclide…
Sharp two-sided heat kernel estimates of twisted tubes and applications
Gabriele Grillo, Hynek Kovařík, Yehuda Pinchover
We prove on-diagonal bounds for the heat kernel of the Dirichlet Laplacian in locally twisted three-dimensional tubes . In particular, we show that for any fixed th…