Zobrazeno 1 - 10
of 285
pro vyhledávání: '"Coclite, Giuseppe Maria"'
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
Autor:
Coclite, Giuseppe Maria, Dipierro, Serena, Fanizza, Giuseppe, Maddalena, Francesco, Valdinoci, Enrico
We study the dispersive properties of a linear equation in one spatial dimension which is inspired by models in peridynamics. The interplay between nonlocality and dispersion is analyzed in detail through the study of the asymptotics at low and high
Externí odkaz:
http://arxiv.org/abs/2105.01558
Autor:
Coclite, Giuseppe Maria, Coron, Jean-Michel, De Nitti, Nicola, Keimer, Alexander, Pflug, Lukas
We deal with the problem of approximating a scalar conservation law by a conservation law with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential-type approximation of the Dirac distribution. This enables us to obta
Externí odkaz:
http://arxiv.org/abs/2012.13203
Publikováno v:
Applied Mathematics Letters Volume 115, May 2021, 106959
In this paper we study some key effects of a discontinuous forcing term in a fourth order wave equation on a bounded domain, modeling the adhesion of an elastic beam with a substrate through an elastic-breakable interaction. By using a spectral decom
Externí odkaz:
http://arxiv.org/abs/2011.05246