Zobrazeno 1 - 10
of 5 301
pro vyhledávání: '"Musso P"'
We study the stability of fracton gravity, a variant of linearized gravity where the gauge symmetry is restricted to longitudinal diffeomorphisms. These transformations can be connected to a spacetime generalization of dipole symmetry, hence the tag
Externí odkaz:
http://arxiv.org/abs/2406.19268
As it collapses to form a halo, the shape of a protohalo patch is deformed by the initial shear field. This deformation is often modeled using the "deformation" tensor, constructed from second derivatives of the gravitational potential, whose trace g
Externí odkaz:
http://arxiv.org/abs/2405.20207
Autor:
Raji, Ayoub, Musiu, Nicola, Toschi, Alessandro, Prignoli, Francesco, Mascaro, Eugenio, Musso, Pietro, Amerotti, Francesco, Liniger, Alexander, Sorrentino, Silvio, Bertogna, Marko
Publikováno v:
2023 IEEE 11th International Conference on Systems and Control (ICSC), Sousse, Tunisia, 2023, pp. 782-789
In this paper, we present a novel formulation to model the effects of a locked differential on the lateral dynamics of an autonomous open-wheel racecar. The model is used in a Model Predictive Controller in which we included a micro-steps discretizat
Externí odkaz:
http://arxiv.org/abs/2312.14808
Autor:
Musso, Emilio, Pampano, Alvaro
We provide a geometric transformation on null curves in the anti-de Sitter $3$-space (AdS) which induces the B\"{a}cklund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability
Externí odkaz:
http://arxiv.org/abs/2312.10765
Perhaps the most classical diffusion model for chemotaxis is the Keller-Segel system $\begin{equation} \begin{cases} u_{t} =\Delta u - \nabla \cdot(u \nabla v) \ \ \ \text{in } \mathbb{R}^2\times(0,T),\\[5pt] v = (-\Delta_{\mathbb{R}^2})^{-1} u := \d
Externí odkaz:
http://arxiv.org/abs/2312.01475
We show that the classical Brezis-Nirenberg problem $$\Delta u + |u|^{4 \over N-2} u + \varepsilon u = 0 ,\quad {\mbox {in}} \quad \Omega, \quad u= 0 , \quad {\mbox {on}} \quad \partial \Omega$$ admits nodal solutions clustering around a point on the
Externí odkaz:
http://arxiv.org/abs/2311.17436
Autor:
Musso, Emilio, Pampano, Alvaro
We formulate integrable flows related to the KdV hierarchy on null curves in the anti-de Sitter 3-space (${\rm AdS}$). Exploiting the specific properties of the geometry of ${\rm AdS}$, we analyze their interrelationships with Pinkall flows in centro
Externí odkaz:
http://arxiv.org/abs/2311.11137
A {\em vortex pair} solution of the incompressible $2d$ Euler equation in vorticity form $$ \omega_t + \nabla^\perp \Psi\cdot \nabla \omega = 0 , \quad \Psi = (-\Delta)^{-1} \omega, \quad \hbox{in } \mathbb{R}^2 \times (0,\infty)$$ is a travelling wa
Externí odkaz:
http://arxiv.org/abs/2311.12039
Publikováno v:
Phys. Rev. D 109, 065013, 2024
Dipole charge conservation forces isolated charges to be immobile fractons. These couple naturally to spatial two-index symmetric tensor gauge fields that resemble a spatial metric. We propose a spacetime Lorentz covariant version of dipole symmetry
Externí odkaz:
http://arxiv.org/abs/2311.01818
We consider the problem of finding a solution to the incompressible Euler equations $$ \omega_t + v\cdot \nabla \omega = 0 \quad \hbox{ in } \mathbb{R}^2 \times (0,\infty), \quad v(x,t) = \frac 1{2\pi} \int_{{\mathbb R}^2} \frac {(y-x)^\perp}{|y-x|^2
Externí odkaz:
http://arxiv.org/abs/2310.07238