Zobrazeno 1 - 10
of 297
pro vyhledávání: '"Coclite Giuseppe Maria"'
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 47-66 (2023)
Camassa-Holm type equations arise as models for the unidirectional propagation of shallow water waves over a flat bottom. They also describe finite length, small amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Under
Externí odkaz:
https://doaj.org/article/4e46368d0d5944cab37e554fd9d91e4f
Parabolic trough power plants transform solar radiative energy into thermal energy which is then typically used to produce electricity. We consider a model derived in \cite{BGSP} to describe parabolic trough power plants. In particular, the thermo-fl
Externí odkaz:
http://arxiv.org/abs/2410.14575
Autor:
Coclite, Giuseppe Maria, Dipierro, Serena, Maddalena, Francesco, Orlando, Gianluca, Valdinoci, Enrico
In this paper, we consider an equation inspired by linear peridynamics and we establish its connection with the classical wave equation. In particular, given a horizon $\delta>0$ accounting for the region of influence around a material point, we prov
Externí odkaz:
http://arxiv.org/abs/2410.09211
We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions in the exterior vertices, we show that the entropy solutions of the system are expon
Externí odkaz:
http://arxiv.org/abs/2407.21137
Autor:
Coclite, Giuseppe Maria, De Nitti, Nicola, Maddalena, Francesco, Orlando, Gianluca, Zuazua, Enrique
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The
Externí odkaz:
http://arxiv.org/abs/2311.05295
Autor:
Coclite, Giuseppe Maria, Colombo, Maria, Crippa, Gianluca, De Nitti, Nicola, Keimer, Alexander, Marconi, Elio, Pflug, Lukas, Spinolo, Laura V.
We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast \rho$ satisfy an Ole\u{\i}nik-type entropy condition. More precisely,
Externí odkaz:
http://arxiv.org/abs/2304.01309
In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial dimensions. The features of the wave propagation characterized by the n
Externí odkaz:
http://arxiv.org/abs/2303.11211
In this manuscript, an original numerical procedure for the nonlinear peridynamics on arbitrarily--shaped two-dimensional (2D) closed manifolds is proposed. When dealing with non parameterized 2D manifolds at the discrete scale, the problem of comput
Externí odkaz:
http://arxiv.org/abs/2207.06022
Autor:
Coclite, Giuseppe Maria, Dipierro, Serena, Fanizza, Giuseppe, Maddalena, Francesco, Romano, Marzia, Valdinoci, Enrico
In this paper we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamcs. The different propagation regimes ranging from the hyperbolic to the dispersive, induced b
Externí odkaz:
http://arxiv.org/abs/2106.13596
The paper studies the initial boundary value problem related to the dynamic evolution of an elastic beam interacting with a substrate through an elastic-breakable forcing term. This discontinuous interaction is aimed to model the phenomenon of attach
Externí odkaz:
http://arxiv.org/abs/2105.12158