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4 papers · 2 filters
Porous medium equations on manifolds with critical negative curvature: unbounded initial data
Matteo Muratori, Fabio Punzo
We investigate existence and uniqueness of solutions of the Cauchy problem for the porous medium equation on a class of Cartan-Hadamard manifolds. We suppose that the radial Ricci…
The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
Maurizio Verri, Giovanna Guidoboni, Lorena Bociu +1
The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous…
Further remarks on the Luo-Hou's ansatz for a self-similar solution to the 3D Euler equations
Gianmarco Sperone
It is shown that the self-similar ansatz proposed by T. Hou and G. Luo to describe a singular solution of the 3D axisymmetric Euler equations leads, without assuming any asymptotic…
A measure of the torsional performances of partially hinged rectangular plates
Elvise Berchio, Davide Buoso, Filippo Gazzola
We introduce a new functional, named gap function, which measures the torsional instability of a partially hinged rectangular plate, aiming to model the deck of a bridge. Then we t…