Zobrazeno 1 - 10
of 2 959
pro vyhledávání: '"Stefanelli P."'
Autor:
Chiesa, Andrea, Stefanelli, Ulisse
We investigate the quasistatic evolution problem for a two-phase viscoelastic material at finite strains. Phase evolution is assumed to be irreversible as one phase accretes in time in its normal direction, at the expense of the other. Mechanical res
Externí odkaz:
http://arxiv.org/abs/2410.16652
Autor:
Stefanelli, Ulisse
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 parameter-dependent WIDE functional on trajectories delivers an ellip
Externí odkaz:
http://arxiv.org/abs/2407.20933
The main aim of this paper is to determine reflections to bijective and non-degenerate solutions of the Yang-Baxter equation, by exploring their connections with their derived solutions. This is motivated by a recent description of left non-degenerat
Externí odkaz:
http://arxiv.org/abs/2405.19105
We investigate the Weighted Energy-Dissipation variational approach to semilinear gradient flows with state-dependent dissipation. A family of parameter-dependent functionals defined over entire trajectories is introduced and proved to admit global m
Externí odkaz:
http://arxiv.org/abs/2404.03370
We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the $\ell_1$-norm for volume ratios between $1/2$ and $2$.
Comment: 17 pages, 2 figures
Comment: 17 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2403.19295
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 gradient-flow dynamics via the Weighted-Energy-Dissipation variational a
Externí odkaz:
http://arxiv.org/abs/2403.15055
We investigate a model for the accretive growth of an elastic solid. The reference configuration of the body is accreted in its normal direction, with space- and deformation-dependent accretion rate. The time-dependent reference configuration is iden
Externí odkaz:
http://arxiv.org/abs/2403.08307
We study the quasistatic evolution of a linear peridynamic Kelvin-Voigt viscoelastic material. More specifically, we consider the gradient flow of a nonlocal elastic energy with respect to a nonlocal viscous dissipation. Following an evolutionary $\G
Externí odkaz:
http://arxiv.org/abs/2402.16386
Autor:
Roubicek, Tomas, Stefanelli, Ulisse
We advance a thermodynamically consistent model of self-gravitational accretion and differentiation in planets. The system is modeled in actual variables as a compressible thermoviscoelastic fluid in a fixed, sufficiently large domain. The supply of
Externí odkaz:
http://arxiv.org/abs/2402.06750
Publikováno v:
J. Phys. A: Math. Theor. 57 405203, 2024
We present connections between left non-degenerate solutions of the set-theoretic braid equation and left shelves using Drinfel'd homomorphisms. We generalize the notion of affine quandle, by using heap endomorphisms and metahomomorphisms, and identi
Externí odkaz:
http://arxiv.org/abs/2401.12704