Zobrazeno 1 - 10
of 3 209
pro vyhledávání: '"Stefanelli P"'
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
We present connections between left non-degenerate solutions of set-theoretic Yang-Baxter equation and left shelves using certain maps called Drinfel'd homomorphisms. We further generalise the notion of affine quandle, by using heap endomorphisms and
Externí odkaz:
http://arxiv.org/abs/2401.12704
We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymptotics are discussed by means of variational convergence techniques. M
Externí odkaz:
http://arxiv.org/abs/2401.12675
Autor:
Davoli, Elisa, Stefanelli, Ulisse
Let $u$ be the unique viscosity solution of $\alpha(x)|\nabla u|=1$ in the external domain ${\mathbb R}^{ n} \setminus K$ with $u=0$ on $K$. In case $\alpha$ is continuous, bounded, and uniformly positive and $K$ is a bounded John domain, we prove th
Externí odkaz:
http://arxiv.org/abs/2312.17635