Publications related to On the energy dissipation rate of solutions to the compressible isentropic Euler system

A simplified modeling method for multi-particle damper: Validation and application in energy dissipation analysis

Particle dampers have received considerable attention in recent years as a novel damping technique. However, due to its high degree of nonlinearity, no mature damping model has been constructed. This article proposes an equivalent raft model that takes int ...

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD2022

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Neural-network quantum states for periodic systems in continuous space

Giuseppe Carleo, Gabriel Maria Pescia

We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of spatial periodicity. Our variational state is parametrized in terms of a permutationally invariant part described by the Deep Sets neural-n ...

AMER PHYSICAL SOC2022

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

Gauthier Leterrier

We study the elliptic curves given by y(2) = x(3) + bx + t(3n+1) over global function fields of characteristic 3 ; in particular we perform an explicit computation of the L-function by relating it to the zeta function of a certain superelliptic curve u(3) ...

SPRINGER INT PUBL AG2022

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Tobias Johannes Schmid

For compact, isometrically embedded Riemannian manifolds N -> R-L, we introduce a fourth-order version of the wave maps equation. By energy estimates, we prove an a priori estimate for smooth local solutions in the energy subcritical dimension n = 1, 2. Th ...

AMER MATHEMATICAL SOC2022

Spatio-temporal patterns of fluid-driven aseismic slip transients: implications to seismic swarms

Brice Tanguy Alphonse Lecampion, Alexis Alejandro Sáez Uribe

Seismic swarms are often interpreted to be driven by natural fluid pressurization in the Earth’s crust, when seismicity is observed to spread away from a common origin and follows approximately a square-root-of-time pattern of growth. On the other hand, a ...

EGU2022

Global fluid simulation of plasma turbulence in a stellarator with an island divertor

Paolo Ricci, Joaquim Loizu Cisquella, Maurizio Giacomin, António João Caeiro Heitor Coelho

Results of a three-dimensional, flux-driven, electrostatic, global, two-fluid turbulence simulation for a five-field period stellarator with an island divertor are presented. The numerical simulation is carried out with the GBS code, recently extended to s ...

2022

Weakening effect of various pore fluids on the tensile strength of granite

Guanyi Lu

Laboratory three-point bending experiments are carried out to evaluate the effect of various fluids on the tensile strength of granite. The granite specimens were tested under both dry and saturated conditions. The fluids used to saturate the granite inclu ...

SPRINGER HEIDELBERG2022

Non-smooth solutions in incompressible fluid dynamics

Luigi De Rosa

This work is devoted to the study of the main models which describe the motion of incompressible fluids, namely the Navier-Stokes, together with their hypodissipative version, and the Euler equations. We will mainly focus on the analysis of non-smooth weak ...

EPFL2021

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Xavier Fernandez-Real Girona

We investigate the regularity of the free boundary for the Signorini problem in Rn+1. It is known that regular points are (n−1)-dimensional and C∞. However, even for C∞ obstacles φ, the set of non-regular (or degenerate) points could be very large—e.g. wit ...

2021

On the energy dissipation rate of solutions to the compressible isentropic Euler system

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A simplified modeling method for multi-particle damper: Validation and application in energy dissipation analysis

Localization errors of the stochastic heat equation

Neural-network quantum states for periodic systems in continuous space

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Spatio-temporal patterns of fluid-driven aseismic slip transients: implications to seismic swarms

Global fluid simulation of plasma turbulence in a stellarator with an island divertor

Weakening effect of various pore fluids on the tensile strength of granite

Non-smooth solutions in incompressible fluid dynamics

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Localization errors of the stochastic heat equation

Neural-network quantum states for periodic systems in continuous space

Spatio-temporal patterns of fluid-driven aseismic slip transients: implications to seismic swarms

Weakening effect of various pore fluids on the tensile strength of granite

Global fluid simulation of plasma turbulence in a stellarator with an island divertor

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

A simplified modeling method for multi-particle damper: Validation and application in energy dissipation analysis

Energy Bounds For A Fourth-Order Equation In Low Dimensions Related To Wave Maps

Non-smooth solutions in incompressible fluid dynamics