9 papers
A free boundary problem in accretive growth
Ulisse Stefanelli
We study a free boundary problem inspired by the modelization of accretive growth. The growth process is formulated through a level-set approach, leading to a boundary-value proble…
Existence for accreting viscoelastic solids at large strains
Andrea Chiesa, Ulisse Stefanelli
By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of…
Global well-posedness for a time-fractional doubly nonlinear equation
Goro Akagi, Giacomo Enrico Sodini, Ulisse Stefanelli
We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearit…
Evolution variational inequalities with general costs
Pierre-Cyril Aubin-Frankowski, Giacomo Enrico Sodini, Ulisse Stefanelli
We extend the theory of gradient flows beyond metric spaces by studying evolution variational inequalities (EVIs) driven by general cost functions , including Bregman and entrop…
Long-Time behavior of the tangential surface Navier-Stokes equation
Andrea Poiatti, Ulisse Stefanelli
We investigate the initial-value problem for the incompressible tangential Navier-Stokes equation with variable viscosity on a given two-dimensional surface without boundary. Exist…
The Weighted Inertia-Energy-Dissipation Principle
Ulisse Stefanelli
The Weighted Inertia-Energy-Dissipation (WIDE) principle is a global variational approach to nonlinear evolution equations of parabolic and hyperbolic type. The minimization of the…
Weighted Energy-Dissipation approach to semilinear gradient flows with state-dependent dissipation
Goro Akagi, Ulisse Stefanelli, Riccardo Voso
We investigate the Weighted Energy-Dissipation variational approach to semilinear gradient flows with state-dependent dissipation. A family of parameter-dependent functionals defin…
Optimal control of gradient flows via the Weighted Energy-Dissipation method
Takeshi Fukao, Ulisse Stefanelli, Riccardo Voso
We consider a general optimal control problem in the setting of gradient flows. Two approximations of the problem are presented, both relying on the variational reformulation of gr…
Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations
Goro Akagi, Verena Bögelein, Alice Marveggio +1
We discuss a variational approach to doubly nonlinear wave equations of the form . This approach hinges on the minimization of a parameter-depende…