Zobrazeno 1 - 10
of 64
pro vyhledávání: '"de Nitti, Nicola"'
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:
De Nitti, Nicola, Zamponi, Nicola
We study a fractional cross-diffusion system that describes the evolution of multi-species populations in the regime of large-distance interactions in a bounded domain. We prove existence and weak-strong uniqueness results for the initial-boundary va
Externí odkaz:
http://arxiv.org/abs/2407.19824
Autor:
de Nitti, Nicola, Pacherie, Eliot
We study the viscous Burgers equation with a family of initial data having infinite mass. After rescaling, the solution converges toward a bounded discontinuous profile in the long-time limit. Moreover, by changing the scale near the discontinuity po
Externí odkaz:
http://arxiv.org/abs/2406.10874
We study the problem of transporting one probability measure to another via an autonomous velocity field. We rely on tools from the theory of optimal transport. In one space-dimension, we solve a linear homogeneous functional equation to construct a
Externí odkaz:
http://arxiv.org/abs/2405.06503
In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bounded domain in $\mathbb{R}^d$. The nonlocal operator we consider is the
Externí odkaz:
http://arxiv.org/abs/2404.03633
We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our resul
Externí odkaz:
http://arxiv.org/abs/2403.13691
The fractional Caffarelli-Kohn-Nirenberg inequality states that $$ \int_{\mathbb{R}^n}\int_{\mathbb{R}^n} \frac{(u(x)-u(y))^2}{|x|^\alpha |x-y|^{n+2s} |y|^\alpha} \mathrm{d} x \, \mathrm{d} y \geq \Lambda_{n, s, p, \alpha,\beta} \|u |x|^{-\beta}\|_{L
Externí odkaz:
http://arxiv.org/abs/2403.02303
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:
Albritton, Dallas, De Nitti, Nicola
We prove sharp bounds on the enstrophy growth in viscous scalar conservation laws. The upper bound is, up to a prefactor, the enstrophy created by the steepest viscous shock admissible by the $L^\infty$ and total variation bounds and viscosity. This
Externí odkaz:
http://arxiv.org/abs/2308.06586
Autor:
De Nitti, Nicola, Sakaguchi, Shigeru
We establish symmetry results for two categories of overdetermined obstacle problems: a Serrin-type problem and a two-phase problem under the overdetermination that the interface serves as a level surface of the solution. The first proof avoids the m
Externí odkaz:
http://arxiv.org/abs/2306.12124