Publications related to Bound states of the Schrodinger-Newton model in low dimensions

Wave-momentum shaping for moving objects in heterogeneous and dynamic media

Romain Christophe Rémy Fleury, Matthieu Francis Malléjac, Bakhtiyar Orazbayev, Stefan Rotter

Light and sound waves can move objects through the transfer of linear or angular momentum, which has led to the development of optical and acoustic tweezers, with applications ranging from biomedical engineering to quantum optics. Although impressive manip ...

2024

Design of a Flexure-Based Flywheel for the Storage of Angular Momentum and Kinetic Energy

Simon Nessim Henein, Florent Cosandier, Hubert Pierre-Marie Benoît Schneegans, Patrick Robert Flückiger

The flywheel is a widespread mechanical component used for the storage of kinetic energy and angular momentum. It typically consists of cylindrical inertia rotating about its axis on rolling bearings, which involves undesired friction, lubrication, and wea ...

2024

Single-shot Kramers-Kronig complex orbital angular momentum spectrum retrieval

Camille Sophie Brès, Jianqi Hu, Yujie Chen

Orbital angular momentum (OAM) spectrum diagnosis is a fundamental building block for diverse OAM-based systems. Among others, the simple on-axis interferometric measurement can retrieve the amplitude and phase information of complex OAM spectra in a few s ...

SPIE-SOC PHOTO-OPTICAL INSTRUMENTATION ENGINEERS2023

Fast global spectral methods for three-dimensional partial differential equations

Daniel Kressner, Christoph Max Strössner

Global spectral methods offer the potential to compute solutions of partial differential equations numerically to very high accuracy. In this work, we develop a novel global spectral method for linear partial differential equations on cubes by extending th ...

OXFORD UNIV PRESS2022

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

Giacomo Garegnani

In this thesis we explore uncertainty quantification of forward and inverse problems involving differential equations. Differential equations are widely employed for modeling natural and social phenomena, with applications in engineering, chemistry, meteor ...

EPFL2021

Dynamical System Modeling of Self-Regulated Systems Undergoing Multiple Excitations: First Order Differential Equation Approach

Julien Gilles Edgar Gateau

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated homeostatic systems experiencing multiple excitations. It focuses on the evolution of a signal (e.g., heart rate) before, during, and after e ...

ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD2020

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

Jan Sickmann Hesthaven

The homotopy continuation method has been widely used to compute multiple solutions of nonlinear differential equations, but the computational cost grows exponentially based on the traditional finite difference and finite element discretizations. In this w ...

SPRINGER/PLENUM PUBLISHERS2020

Normalized Gaussian path integrals

Giulio Corazza

Path integrals play a crucial role in describing the dynamics of physical systems subject to classical or quantum noise. In fact, when correctly normalized, they express the probability of transition between two states of the system. In this work, we show ...

AMER PHYSICAL SOC2020

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Meta-concrete by means of discrete element method

Sacha Zenon Wattel

The basis of the discrete element method is to model masses interacting with each other through different forces and constraints. On each mass, the second law of Newton is applied to obtain a differential equation. From this equation and boundary condition ...

2019

Bound states of the Schrodinger-Newton model in low dimensions

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Wave-momentum shaping for moving objects in heterogeneous and dynamic media

Design of a Flexure-Based Flywheel for the Storage of Angular Momentum and Kinetic Energy

Single-shot Kramers-Kronig complex orbital angular momentum spectrum retrieval

Fast global spectral methods for three-dimensional partial differential equations

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

Dynamical System Modeling of Self-Regulated Systems Undergoing Multiple Excitations: First Order Differential Equation Approach

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

Normalized Gaussian path integrals

A stability theory beyond the co-rotational setting for critical wave maps blow up

Meta-concrete by means of discrete element method

Wave-momentum shaping for moving objects in heterogeneous and dynamic media

Meta-concrete by means of discrete element method

Single-shot Kramers-Kronig complex orbital angular momentum spectrum retrieval

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

Design of a Flexure-Based Flywheel for the Storage of Angular Momentum and Kinetic Energy

Dynamical System Modeling of Self-Regulated Systems Undergoing Multiple Excitations: First Order Differential Equation Approach

Fast global spectral methods for three-dimensional partial differential equations

Normalized Gaussian path integrals

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

A stability theory beyond the co-rotational setting for critical wave maps blow up