Cover Image

Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Giuliani, Filippo, Scandone, Raffaele
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Point interactions and singular solutions to semilinear elliptic equations
by: Boni, Filippo, et al.
Published: (2026)

Growth of Sobolev norms in quasi integrable quantum systems
by: Bambusi, Dario, et al.
Published: (2022)

Entropy maximizers for kinetic wave equations set on tori
by: Escobedo, Miguel, et al.
Published: (2024)

Equivalence of Sobolev norms for Kolmogorov operators with scaling-critical drift
by: Bui, The Anh, et al.
Published: (2024)

The derivation of the compressible Euler equation from quantum many-body dynamics
by: Chen, Xuwen, et al.
Published: (2021)

Normalized NLS ground states on a double plane hybrid
by: Boni, Filippo, et al.
Published: (2024)

A toy model for frequency cascade in the nonlinear Schrodinger equation
by: Carles, Rémi, et al.
Published: (2025)

Finite time energy cascade for mixed $3-$ and $4-$wave kinetic equations
by: Staffilani, Gigliola, et al.
Published: (2025)

On the breathing of spectral bands in periodic quantum waveguides with inflating resonators
by: Chesnel, Lucas, et al.
Published: (2023)

Self-similar imploding solutions of the relativistic Euler equations
by: Shao, Feng, et al.
Published: (2024)

Global regularity for the Navier-Stokes equations with application to global solvability for the Euler equations
by: Ri, Myong-Hwan
Published: (2026)

Energy cascade for the Klein-Gordon lattice
by: Pasquali, Stefano
Published: (2023)

Infinite norm of the derivative of the solution operator of Euler equations
by: Li, Y. Charles
Published: (2020)

Nonstrictly hyperbolic systems and their application to study of Euler-Poisson equations
by: Turzynsky, Marko K.
Published: (2024)

Long time quantum-classical correspondence for open systems in trace norm
by: Li, Zhenhao
Published: (2024)

An Onsager type theorem for the Euler-Boussinesq equations in two spatial dimensions
by: Koley, Ujjwal
Published: (2025)

A new proof of the Théorème de Structure related to a weak solution to the Navier-Stokes equations
by: Maremonti, Paolo, et al.
Published: (2025)

A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state
by: Luczak, Brian B.
Published: (2024)

Heat and thermal travelling wave solutions of a nonlinear Maxwell-Cattaneo-Vernotte equation
by: Filippo, Munafò Carmelo, et al.
Published: (2026)

Sobolev norms of $L^2$-solutions to NLS
by: Bessonov, Roman V., et al.
Published: (2022)

Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime
by: Chong, Jacky, et al.
Published: (2024)

Minimizing sequences of Sobolev inequalities revisited
by: Dietze, Charlotte, et al.
Published: (2024)

$2D$ vorticity Euler equations: Superposition solutions and nonlinear Markov processes
by: Rehmeier, Marco, et al.
Published: (2024)

On a class of sharp Sobolev type estimates with weights
by: Hindov, Raul, et al.
Published: (2026)

Global solutions to the Euler-Coriolis system
by: Ren, Xiao, et al.
Published: (2024)

Strong ill-posedness in $L^{\infty}$ of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations
by: Bianchini, Roberta, et al.
Published: (2023)

Non relativistic limit of the nonlinear Klein-Gordon equation: Uniform in time approximation of KAM solutions
by: Bambusi, Dario, et al.
Published: (2025)

Energy scattering for the unsteady damped nonlinear Schrodinger equation
by: Hamouda, Makram, et al.
Published: (2023)

Observability of Schrödinger propagators on tori in rough settings
by: Burq, Nicolas, et al.
Published: (2025)

Mountain-Pass Solutions in 2D Turbulence with Generalized Sobolev Operators
by: Santos, Rômulo Damasclin Chaves dos
Published: (2024)

Sobolev Stability for the 2D MHD Equations in the Non-Resistive Limit
by: Knobel, Niklas
Published: (2024)

Shock Formation for Compressible Euler Equations on $\mathbb{S}^2$
by: An, Xinliang, et al.
Published: (2025)

The incompressible limit of the Euler-Maxwell two-fluid system
by: Besse, Nicolas, et al.
Published: (2025)

Semi-classical limit of quantum scattering states for the nonlinear Hartree equation
by: Hadama, Sonae, et al.
Published: (2025)

Two dimensional NLS ground states with attractive Coulomb potential and point interaction
by: Boni, Filippo, et al.
Published: (2023)

Hardy-Sobolev interpolation inequalities
by: Dietze, Charlotte, et al.
Published: (2023)

A characterization of the subspace of radially symmetric functions in Sobolev spaces
by: Ostermann, Matthias
Published: (2022)

On the optimal rate of vortex stretching for axisymmetric Euler flows without swirl
by: Lim, Deokwoo, et al.
Published: (2024)

Fokas-type closed-form solution formulae for Sobolev-type equations with time-dependent coefficients
by: Chatziafratis, Andreas
Published: (2025)

Three-dimensional Supersonic flows for the steady Euler-Poisson system in divergent nozzles
by: Park, Hyangdong
Published: (2025)