Search Results - "Gigliola Staffilani"

The Wave Maps Equation and Brownian Paths by Bringmann, Bjoern, Lührmann, Jonas, Staffilani, Gigliola

“…We discuss the ( 1 + 1 ) -dimensional wave maps equation with values in a compact Riemannian manifold . Motivated by the Gibbs measure problem, we consider…”
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2D-defocusing nonlinear Schrödinger equation with random data on irrational tori by Fan, Chenjie, Ou, Yumeng, Staffilani, Gigliola, Wang, Hong

“…We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we…”
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A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on \mathbb{R}^2 by Shen, Ruipeng, Staffilani, Gigliola

“…In this paper we consider a semi-linear, defocusing, shifted wave equation on the hyperbolic space \displaystyle \partial _t^2 u - (\Delta _{{\mathbb{H}}^n} +…”
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A rigorous derivation of the Hamiltonian structure for the Vlasov equation by Miller, Joseph K., Nahmod, Andrea R., Pavlović, Nataša, Rosenzweig, Matthew, Staffilani, Gigliola

“…We consider the Vlasov equation in any spatial dimension, which has long been known [ZI76, Mor80, Gib81, MW82] to be an infinite-dimensional Hamiltonian system…”
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Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory by Rosenzweig, Matthew, Staffilani, Gigliola

“…In Eyink and Shi (2012) and Chibbaro et al. (2018), Eyink and Shi and Chibbaro et al., respectively, formally derived an infinite, coupled hierarchy of…”
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Global solutions of aggregation equations and other flows with random diffusion by Rosenzweig, Matthew, Staffilani, Gigliola

“…Aggregation equations, such as the parabolic-elliptic Patlak–Keller–Segel model, are known to have an optimal threshold for global existence versus finite-time…”
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Smoothing effect for time-degenerate Schrödinger operators by Federico, Serena, Staffilani, Gigliola

“…In this work we consider an example of a linear time degenerate Schrödinger operator. We show that with the appropriate assumptions the operator satisfies a…”
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On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions by Kirkpatrick, Kay, Lenzmann, Enno, Staffilani, Gigliola

“…We consider a general class of discrete nonlinear Schrödinger equations (DNLS) on the lattice with mesh size h > 0. In the continuum limit when h → 0, we prove…”
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Randomization and the Gross–Pitaevskii Hierarchy by Sohinger, Vedran, Staffilani, Gigliola

“…We study the Gross–Pitaevskii hierarchy on the spatial domain T 3 . By using an appropriate randomization of the Fourier coefficients in the collision…”
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Trend to Equilibrium for Flows With Random Diffusion by Aryan, Shrey, Rosenzweig, Matthew, Staffilani, Gigliola

“…Motivated by the possibility of noise to cure equations of finite-time blowup, the recent work [ 90] by the second and third named authors showed that with…”
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Sharp Strichartz estimates for some variable coefficient Schrödinger operators on R×T2 by Serena Federico, Gigliola Staffilani

“…In the first part of the paper we continue the study of solutions to Schrödinger equations with a time singularity in the dispersive relation and in the…”
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Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation by Krieger, Joachim, Lührmann, Jonas, Staffilani, Gigliola

“…We establish probabilistic small data global well-posedness of the energy-critical Maxwell–Klein–Gordon equation relative to the Coulomb gauge for scaling…”
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Pointwise Convergence of the Schrödinger Flow by Compaan, Erin, Lucà, Renato, Staffilani, Gigliola

“…In this paper we address the question of the pointwise almost everywhere limit of nonlinear Schrödinger flows to the initial data, in both the continuous and…”
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Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $ \mathbb{R}\times\mathbb{T}^2 by Federico, Serena, Staffilani, Gigliola

“…In the first part of the paper we continue the study of solutions to Schrödinger equations with a time singularity in the dispersive relation and in the…”
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On the nonlinear Dysthe equation by Grande, Ricardo, Kurianski, Kristin M., Staffilani, Gigliola

“…This work is dedicated to putting on a solid analytic ground the theory of local well-posedness for the two dimensional Dysthe equation. This equation can be…”
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On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy by Gressman, Philip, Sohinger, Vedran, Staffilani, Gigliola

“…In this paper, we present a uniqueness result for solutions to the Gross–Pitaevskii hierarchy on the three-dimensional torus, under the assumption of an a…”
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A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on ℝ2 by Shen, Ruipeng, Staffilani, Gigliola

“…In this paper we consider a semi-linear, defocusing, shifted wave equation on the hyperbolic space ∂ t 2 u − ( Δ ℍ n + ρ 2 ) u = − | u | p − 1 u , ( x , t ) ∈…”
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Large deviations principle for the cubic NLS equation by Garrido, Miguel Angel, Grande, Ricardo, Kurianski, Kristin M., Staffilani, Gigliola

“…In this paper, we present a probabilistic study of rare phenomena of the cubic nonlinear Schrödinger equation on the torus in a weakly nonlinear setting. This…”
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DERIVATION OF THE TWO-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION FROM MANY BODY QUANTUM DYNAMICS by Kirkpatrick, Kay, Schlein, Benjamin, Staffilani, Gigliola

“…We derive rigorously, for both ℝ² and [−L, L] ×2 , the cubic nonlinear Schrödinger equation in a suitable scaling limit from the two-dimensional many-body Bose…”
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The Surface Quasi-geostrophic Equation With Random Diffusion by Buckmaster, Tristan, Nahmod, Andrea, Staffilani, Gigliola, Widmayer, Klaus

“…Abstract Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for…”
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