Zobrazeno 1 - 10
of 609
pro vyhledávání: '"Rosa, Luigi"'
In this work, we study several properties of the normal Lebesgue trace of vector fields introduced by the second and third author in [18] in the context of the energy conservation for the Euler equations in Onsager-critical classes. Among several pro
Externí odkaz:
http://arxiv.org/abs/2405.11486
Autor:
De Rosa, Luigi, Park, Jaemin
We prove that any sequence of vanishing viscosity Leray-Hopf solutions to the periodic two-dimensional incompressible Navier-Stokes equations does not display anomalous dissipation if the initial vorticity is a measure with positive singular part. A
Externí odkaz:
http://arxiv.org/abs/2403.04668
Autor:
De Rosa, Luigi, Inversi, Marco
This paper is concerned with the incompressible Euler equations. In Onsager's critical classes we provide explicit formulas for the Duchon-Robert measure in terms of the regularization kernel and a family of vector-valued measures $\{\mu_z\}_z$, havi
Externí odkaz:
http://arxiv.org/abs/2307.09189
By means of a unifying measure-theoretic approach, we establish lower bounds on the Hausdorff dimension of the space-time set which can support anomalous dissipation for weak solutions of fluid equations, both in the presence or absence of a physical
Externí odkaz:
http://arxiv.org/abs/2301.09603
We consider H\"older continuous weak solutions $u\in C^\gamma(\Omega)$, $u\cdot n|_{\partial \Omega}=0$, of the incompressible Euler equations on a bounded and simply connected domain $\Omega\subset\mathbb{R}^d$. If $\Omega$ is of class $C^{2,1}$ the
Externí odkaz:
http://arxiv.org/abs/2301.06482
Autor:
De Rosa, Luigi, Tione, Riccardo
This paper is concerned with various fine properties of the functional \[ \mathbb{D}(A) = \int_{\mathbb{T}^n}{\text{det}}^\frac{1}{n-1}(A(x))\,dx \] introduced in [33]. This functional is defined on $X_p$, which is the cone of matrix fields $A \in L^
Externí odkaz:
http://arxiv.org/abs/2212.08618
Autor:
De Rosa, Luigi, Isett, Philip
In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as ``intermittency'' and it has strong experimental foundations. Consequently, as first pointed out by Landau, real turbulen
Externí odkaz:
http://arxiv.org/abs/2212.08176
Autor:
Allocca, Annalisa, Avino, Saverio, Balestrieri, Sergio, Calloni, Enrico, Caprara, Sergio, Carpinelli, Massimo, D'Onofrio, Luca, D'Urso, Domenico, De Rosa, Rosario, Errico, Luciano, Gagliardi, Gianluca, Grilli, Marco, Mangano, Valentina, Marsella, Maria, Naticchioni, Luca, Pasqualetti, Antonio, Pepe, Giovanni Piero, Perciballi, Maurizio, Pesenti, Luca, Puppo, Paola, Rapagnani, Piero, Ricci, Fulvio, Rosa, Luigi, Rovelli, Carlo, Rozza, Davide, Ruggi, Paolo, Saini, Naurang, Sequino, Valeria, Sipala, Valeria, Stornaiuolo, Daniela, Tafuri, Francesco, Tagliacozzo, Arturo, Melo, Iara Tosta e, Trozzo, Lucia
We provide a novel methodological approach to the estimate of the change of the Quantum Vacuum electromagnetic energy density in a High critical Temperature superconducting metal bulk sample, when it undergoes the transition in temperature, from the
Externí odkaz:
http://arxiv.org/abs/2209.10593
Publikováno v:
J. High Energ. Phys. 2022, 95 (2022)
We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and perfect magneti
Externí odkaz:
http://arxiv.org/abs/2207.09175