Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Baldi, Pietro"'
We consider the free boundary problem for a 3-dimensional, incompressible, irrotational liquid drop of nearly spherical shape with capillarity. We study the problem from scratch, extending some classical results from the flat case (capillary water wa
Externí odkaz:
http://arxiv.org/abs/2408.02333
We consider the Kirchhoff equation on tori of any dimension and we construct solutions whose Sobolev norms oscillates in a chaotic way on certain long time scales. The chaoticity is encoded in the time between oscillations of the norm, which can be c
Externí odkaz:
http://arxiv.org/abs/2303.00688
Autor:
Baldi, Pietro
We consider the smooth, compactly supported solutions of the steady 3D Euler equations of incompressible fluids constructed by Gavrilov in 2019, and we study the corresponding fluid particle dynamics. This is an ode analysis, which contributes to the
Externí odkaz:
http://arxiv.org/abs/2302.02982
Fault detection, diagnosis and active fault tolerant control for a satellite attitude control system
Autor:
Baldi, Pietro <1981>
Modern control systems are becoming more and more complex and control algorithms more and more sophisticated. Consequently, Fault Detection and Diagnosis (FDD) and Fault Tolerant Control (FTC) have gained central importance over the past decades, due
Externí odkaz:
http://amsdottorato.unibo.it/6983/
Autor:
Baldi, Pietro
We introduce a modified version of the Whitney extension operators for collections of functions from a closed subset of $\mathbb{R}^n$ into scales of Banach spaces with smoothing operators. We prove an extension theorem for collections whose elements
Externí odkaz:
http://arxiv.org/abs/2010.07236
Autor:
Baldi, Pietro, Haus, Emanuele
We consider the Kirchhoff equation $$ \partial_{tt} u - \Delta u \Big( 1 + \int_{\mathbb T^d} |\nabla u|^2 \Big) = 0 $$ on the $d$-dimensional torus $\mathbb T^d$, and its Cauchy problem with initial data $u(0,x)$, $\partial_t u(0,x)$ of size $\varep
Externí odkaz:
http://arxiv.org/abs/2007.03543
Autor:
Baldi, Pietro, Haus, Emanuele
Consider the Kirchhoff equation $$ \partial_{tt} u - \Delta u \Big( 1 + \int_{\mathbb{T}^d} |\nabla u|^2 \Big) = 0 $$ on the $d$-dimensional torus $\mathbb{T}^d$. In a previous paper we proved that, after a first step of quasilinear normal form, the
Externí odkaz:
http://arxiv.org/abs/2006.01136
Autor:
Baldi, Pietro, Montalto, Riccardo
We prove the existence of time-quasi-periodic solutions of the incompressible Euler equation on the three-dimensional torus $\T^3$, with a small time-quasi-periodic external force. The solutions are perturbations of constant (Diophantine) vector fiel
Externí odkaz:
http://arxiv.org/abs/2003.14313
Autor:
Baldi, Pietro, Haus, Emanuele
We investigate a general question about the size and regularity of the data and the solutions in implicit function problems with loss of regularity. First, we give a heuristic explanation of the fact that the optimal data size found by Ekeland and S\
Externí odkaz:
http://arxiv.org/abs/1906.12290
We rigorously show the existence of a rotationally and centrally symmetric "lens-shaped" cluster of three surfaces, meeting at a smooth common circle, forming equal angles of 120 degrees, self-shrinking under the motion by mean curvature.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1811.07822