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On a free boundary problem for finitely extensible bead-spring chain molecules in dilute polymers
Donatella Donatelli, Konstantina Trivisa
We investigate the global existence of weak solutions to a free boundary problem governing the evolution of finitely extensible bead-spring chains in dilute polymers. We construct…
On the dynamics of ferrofluids: Global weak solutions to the Rosensweig system and rigorous convergence to equilibrium
Ricardo H. Nochetto, Konstantina Trivisa, Franziska Weber
This article establishes the global existence of weak solutions to a model proposed by Rosensweig (Rosensweig, Ferrohydrodynamics (1985)) for the dynamics of ferrofluids. The syste…
Bounded Statistics
Pranava Chaitanya Jayanti, Konstantina Trivisa
If two probability density functions (PDFs) have values for their first moments which are quite close to each other (upper bounds of their differences are known), can it be exp…
Invariant measures for the stochastic one-dimensional compressible Navier-Stokes equations
Michele Coti Zelati, Nathan Glatt-Holtz, Konstantina Trivisa
We investigate the long-time behavior of solutions to a stochastically forced one-dimensional Navier-Stokes system, describing the motion of a compressible viscous fluid, in the ca…